virl39k
Collection
11 items • Updated • 1
answer stringlengths 1 117 | category stringclasses 1
value | qid stringlengths 10 61 | images images listlengths 1 5 | problem stringlengths 27 1.07k | id int64 0 38.8k |
|---|---|---|---|---|---|
A | (GradeSchool) Geometric | Processed-0430e208-5f96-4dbd-8494-81869822c345 | <image>
Is the dotted line a line of symmetry?
Choices:
(A) yes
(B) no | 0 | |
A | (GradeSchool) Geometric | Processed-5cb29a4f-240d-4f1f-a063-b7fd922ee9e9 | <image>
What fraction of the shapes are squares?
Choices:
(A) 5/10
(B) 3/7
(C) 3/9
(D) 5/9 | 2 | |
100 | (GradeSchool) Geometric | Processed-45a6e75a-124a-4ff6-adda-5b1f518d13af | <image>
How many squares are there? | 4 | |
20 | (GradeSchool) Geometric | Processed-1cd8a0fe-2bfe-4f8a-99e4-cae1dffa9e96 | <image>
How many diamonds are there? | 5 | |
B | (GradeSchool) Geometric | Processed-afcc29e9-8d9a-4a0f-ae00-ab40d51a3f56 | <image>
Is the number of triangles even or odd?
Choices:
(A) odd
(B) even | 8 | |
No | (GradeSchool) Geometric | Processed-a8f64cdc-a6d2-4b94-8194-3614f1d42ba5 | <image>
Are there any shapes that are not pentagons? | 10 | |
35 | (GradeSchool) Geometric | Processed-bbe40cbe-75ca-4319-aafd-56212071f557 | <image>
If two shapes are added, how many sides will there be in total? | 15 | |
1 | (GradeSchool) Geometric | Processed-7112af65-b2a7-450e-b050-b880d27a41af | <image>
How many blue squares are there in the bottom right corner of the image? | 23 | |
Octagon | (GradeSchool) Geometric | Processed-059e6203-efc5-4785-8127-2f4a6e26d3f6 | <image>
What type of polygon are these shapes? | 28 | |
5 | (GradeSchool) Geometric | Processed-ce59026f-a59a-47a5-bd30-8c62cc3c02dd | <image>
How many faces does this shape have? | 33 | |
6 | (GradeSchool) Geometric | Processed-d0621af3-32e8-4016-a8f0-c9d345e6cc50 | <image>
If two lines of the same length as the given line are drawn, how many paper clips will be needed to measure them both? | 34 | |
Yes | (GradeSchool) Geometric | Processed-55043c36-d7a8-4a5a-b9b3-99c28fced6be | <image>
Is this shape symmetrical? | 41 | |
10 | (GradeSchool) Geometric | Processed-533cca29-546e-491e-b148-8e96ece0da81 | <image>
What is the total number of squares in both rows? | 42 | |
3 | (GradeSchool) Geometric | Processed-4898a441-d507-4a04-b406-dfa70a5c9f2c | <image>
If the pink triangles were removed, how many edges would the remaining shape have? | 49 | |
Rectangles | (GradeSchool) Geometric | Processed-6505bba5-189f-49dd-85af-7af690d5e445 | <image>
Are there more rectangles or triangles in the image? | 53 | |
2 | (GradeSchool) Geometric | Processed-d925e096-a7bd-4e8c-a492-6c9f67ed60f0 | <image>
If the entire circle is painted blue, what fraction of the original blue area would that be? | 58 | |
6 | (GradeSchool) Geometric | Processed-c023da6b-db0f-45b6-b600-3c62e48cc449 | <image>
How many shapes are in the image in total? | 59 | |
2:5 | (GradeSchool) Geometric | Processed-3bcfd64b-0774-49f8-a163-77eb4d17c9a3 | <image>
What is the ratio of stars to the total number of squares in the frame? | 64 | |
15 | (GradeSchool) Geometric | Processed-2e536144-7453-4fa9-b043-6160c97b5208 | <image>
What is the total number of sides for all the triangles combined? | 65 | |
8 cm | (GradeSchool) Geometric | Processed-0208edf1-1643-44e0-9c48-78d5de95f8da | <image>
If each side of the square is 2 cm, what is the perimeter of the outer shape? | 67 | |
6 | (GradeSchool) Geometric | Processed-6b5b53fa-4eef-48f1-87fd-25a32514d979 | <image>
If you were to double the length of the line, how many paper clips would it measure? | 71 | |
Yes | (GradeSchool) Geometric | Processed-e11650e8-e570-470f-a434-6edcc8e71786 | <image>
Are all sides of this polygon of equal length? | 78 | |
Regular | (GradeSchool) Geometric | Processed-4c6dd147-920f-4b4b-8268-e01ea3217694 | <image>
Is the shape regular or irregular? | 81 | |
No | (GradeSchool) Geometric | Processed-c54d4a2f-16ec-4f8c-b7b6-a00be92cbcf8 | <image>
Does this shape have any edges or vertices? | 86 | |
Regular | (GradeSchool) Geometric | Processed-dab8b2c4-1e9b-4356-8419-3410af5493be | <image>
Is this polygon regular or irregular? | 88 | |
Yes | (GradeSchool) Geometric | Processed-11bb0aa1-c6bd-4264-9963-6360d5192588 | <image>
Is this triangle symmetrical? | 90 | |
Translation | (GradeSchool) Geometric | Processed-7e4444c0-790e-40b2-ab3e-c9f6666ea357 | <image>
What type of transformation has been applied to the letter G? | 94 | |
1 | (GradeSchool) Geometric | Processed-ea2b6886-e746-4106-bb86-bade136ba62c | <image>
By how many squares has the height of the letter F increased after the transformation? | 95 | |
7 | (GradeSchool) Geometric | Processed-e9e4f827-4484-413e-80e8-2a6019868de6 | <image>
What is the total number of shapes in the image? | 108 | |
1 | (GradeSchool) Geometric | Processed-974f5eec-3d3b-44fe-aad0-5f92668dff72 | <image>
How many lines of symmetry does the object in the image have? | 109 | |
20 | (GradeSchool) Geometric | Processed-822205b7-598e-4bc9-9b43-0ecc9f4b7474 | <image>
How many triangles are there of each color, and what is the total number of triangles? | 116 | |
6 | (GradeSchool) Geometric | Processed-65b820c8-f8ec-4d5d-a77c-de12a9259e8f | <image>
How many lines of symmetry does this picture have? | 122 | |
10 | (GradeSchool) Geometric | Processed-b18cf7a1-7207-417f-8d96-47ffd927951d | <image>
If each unit square has a side length of 1 unit, what is the perimeter of the shape? | 126 | |
9 | (GradeSchool) Geometric | Processed-05487e9d-89c1-4aed-9a8b-7fd949c86bf5 | <image>
how many squares are there if you include all possible squares formed by combining smaller squares? | 130 | |
1 | (GradeSchool) Geometric | Processed-5275d7ec-ed62-4e08-9550-214e01882830 | <image>
How many lines of symmetry does the hat have, including the dotted line? | 133 | |
D | (GradeSchool) Geometric | Processed-d66c9ece-f504-4452-a509-4f5892540f3b | <image>
What is the fraction of the shape that is colored pink? Is it 1/2, 1/4, 1/5, or 1/3?
Choices:
(A) 1/2
(B) 1/4
(C) 1/5
(D) 1/3 | 140 | |
A | (GradeSchool) Geometric | Processed-44aecc4e-3657-445b-bcb0-9c3c2a2f6e5b | <image>
What is the fraction of shapes in the group that are rectangles?
(A) 8/10
(B) 2/7
(C) 7/12
(D) 11/12 | 147 | |
B | (GradeSchool) Geometric | Processed-7d87bed8-560a-4b5d-b819-c75c44e6ea5a | <image>
Are there more even or odd triangles?
Choices:
(A) odd
(B) even | 149 | |
2 | (GradeSchool) Geometric | Processed-f1a30753-b8c3-4bcc-87e9-ce0ca7c72244 | <image>
Move the ruler to measure the length of this object to the nearest inch. This object is about (_) inches long. | 155 | |
A | (GradeSchool) Geometric | Processed-77bc638b-52ca-46ba-9b76-1593a6186514 | <image>
What has been done to this shape?
Choices:
(A) flip
(B) turn
(C) slide | 156 | |
C | (GradeSchool) Geometric | Processed-0b475fcf-6706-4bac-9c2d-dd6b51540d14 | <image>
What has been done to this shape?
Choices:
(A) slide
(B) flip
(C) turn | 158 | |
3 | (GradeSchool) Geometric | Processed-03a724a8-40af-4cbf-9676-4e4e1efb1135 | <image>
How many cubes long is this? | 159 | |
100 | (GradeSchool) Geometric | Processed-18dcbf1f-48a1-45d5-ad13-222bf66dd4c0 | <image>
How many shapes are there? | 163 | |
E | (GradeSchool) Geometric | Processed-11e3da1a-f41b-4595-aed0-ff9faac36231 | <image>
How many shapes are present in the grid?
Choices:
(A) 5
(B) 3
(C) 4
(D) 2
(E) 1 | 164 | |
C | (GradeSchool) Geometric | Processed-cb08ecb2-daf2-4eec-bbd3-13309cd89b49 | <image>
如图,小明同学在将一张矩形纸片ABCD的四个角向内折起时,发现恰好能拼成一个无缝隙无重叠的四边形EFGH.于是他测量出EH=12cm,EF=16cm,根据这两个数据他很快求出了边AD的长,则边AD的长是()
Choices:
(A) 12cm
(B) 16cm
(C) 20cm
(D) 28cm | 168 | |
C | (GradeSchool) Geometric | Processed-2ae6cf98-9e69-4318-826b-8f44e688c85a | <image>
如图:A、B、C在⊙O上,∠C=20°,∠B=50°,则∠A=()
Choices:
(A) 20°
(B) 25°
(C) 30°
(D) 40° | 169 | |
C | (GradeSchool) Geometric | Processed-ead94d02-e6d6-43d0-b6b8-aea80ed8b0bc | <image>
如图,AB为⊙O的直径,CD为弦,AB⊥CD,如果∠BOC=70°,则∠ABD的度数为()
Choices:
(A) 35°
(B) 45°
(C) 55°
(D) 70° | 170 | |
C | (GradeSchool) Geometric | Processed-28406bf7-2147-4996-b6d8-992bc6712261 | <image>
如图,已知1号,4号两个正方形的面积和为7,2号,3号两个正方形的而积和为4,则a,b,c三个方形的面积和为()
Choices:
(A) 10
(B) 13
(C) 15
(D) 22 | 171 | |
B | (GradeSchool) Geometric | Processed-1a088f7f-ca44-4928-8a9f-15c3467ad5dc | <image>
如图,AB∥CD,∠1=58°,FG平分∠EFD,则∠FGB的度数等于()
Choices:
(A) 29°
(B) 151°
(C) 122°
(D) 109° | 172 | |
B | (GradeSchool) Geometric | Processed-a68defa9-bec1-44d1-9130-90acc4194aef | <image>
如图,OA,OB是⊙O的半径,C是⊙O上的一点,∠AOB=40°,∠OCB=50°,则∠OAC的度数为()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50° | 173 | |
D | (GradeSchool) Geometric | Processed-8d66dda5-8685-43ca-ba24-d52e41b6b5bb | <image>
如图,AB、CD是⊙O的两条直径,且AB⊥CD,⁀{CE}=\frac{1}{2}⁀{EB},P为直径CD上一动点,若⊙O的直径AB=2,则△PEB周长的最小值是()
Choices:
(A) 3
(B) 4
(C) 2√{3}
(D) √{3}+1 | 174 | |
C | (GradeSchool) Geometric | Processed-866ebcdc-aee1-4315-89f5-f24ab59ca043 | <image>
如图,四边形ABCD是矩形,点E和点F是矩形ABCD外两点,AE⊥CF于点H,AD=3,DC=4,DE=\frac{5}{2},∠EDF=90°,则DF长是()
Choices:
(A) \frac{15}{8}
(B) \frac{11}{3}
(C) \frac{10}{3}
(D) \frac{16}{5} | 175 | |
D | (GradeSchool) Geometric | Processed-983c135f-2d23-4f38-b89a-d7c23e7e1ff1 | <image>
如图,已知钝角三角形ABC,将△ABC绕点A按逆时针方向旋转110°得到△AB′C′,连接BB′,若AC′∥BB′,则∠CAB′的度数为()
Choices:
(A) 55°
(B) 65°
(C) 85°
(D) 75° | 176 | |
C | (GradeSchool) Geometric | Processed-676af790-64a7-4087-b81a-88e7ab1d8f5e | <image>
如图,构成伸缩门的基本图形是菱形,且每个小菱形的边长都为0.4米,伸缩门伸展到最宽时为8米,此时菱形的一个内角为60°．若中间隔板的厚度不计,则图中的n为()
Choices:
(A) 10
(B) 15
(C) 20
(D) 25 | 177 | |
C | (GradeSchool) Geometric | Processed-3aeed1fa-4151-46c6-b220-f53448ba186e | <image>
如图,AB∥DE,FG⊥BC于F,∠CDE=40°,则∠FGA的度数为()
Choices:
(A) 40°
(B) 50°
(C) 130°
(D) 140° | 178 | |
C | (GradeSchool) Geometric | Processed-cabddaaf-10a1-45f7-a296-ae17b5bcc7c8 | <image>
如图,△ABC,∠ABC、∠ACB的三等分线交于点E、D,若∠BFC=132°,∠BGC=118°,则∠A的度数为()
Choices:
(A) 65°
(B) 66°
(C) 70°
(D) 78° | 179 | |
C | (GradeSchool) Geometric | Processed-762b4c20-f100-4154-8f04-f6cfd6b61b3d | <image>
如图,有一斜坡AB,坡角∠B=30°,其水平长度BC为30米,则坡面AB的长为()
Choices:
(A) 15米
(B) 15√{3}米
(C) 20√{3}米
(D) 60米 | 180 | |
D | (GradeSchool) Geometric | Processed-88b035ac-05b0-4258-86af-fe03e7763fd0 | <image>
如图,AB是⊙O的直径,PA切⊙O于点A,PO交⊙O于点C,连接BC．若∠B=20°,则∠P等于()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50° | 181 | |
B | (GradeSchool) Geometric | Processed-33178e8b-48f0-4470-9248-a99505b6d803 | <image>
如图,在四边形ABCD中,∠DAB的角平分线与∠ABC的外角平分线相交于点P,且∠D+∠C=210°,则∠P=()
Choices:
(A) 10°
(B) 15°
(C) 30°
(D) 40° | 182 | |
D | (GradeSchool) Geometric | Processed-667274b7-50bf-4d54-b2f1-66600a7cb0a9 | <image>
如图,测得BD=120m,DC=60m,EC=50m,则小河宽AB的长是()
Choices:
(A) 180m
(B) 150m
(C) 144m
(D) 100m | 183 | |
D | (GradeSchool) Geometric | Processed-fc420c85-6d06-414d-ba3a-90ceb2f0700c | <image>
如图,已知PA、PB是⊙O的切线,A、B为切点,AC是⊙O的直径,∠P=40°,则∠BAC的大小是()
Choices:
(A) 70°
(B) 40°
(C) 50°
(D) 20° | 184 | |
C | (GradeSchool) Geometric | Processed-8d0e0c9e-e565-4e04-a252-b5eacf240a31 | <image>
如图,直线a∥b,∠1=85°,∠2=30°,则∠3=()
Choices:
(A) 85°
(B) 60°
(C) 55°
(D) 35° | 185 | |
D | (GradeSchool) Geometric | Processed-d44ee96d-a59b-4fd9-9790-4418f2bd361b | <image>
如图,CD为⊙O的直径,过点D的弦DE平行于半径OA,若∠D的度数是50°,则∠A的度数为()
Choices:
(A) 50°
(B) 40°
(C) 30°
(D) 25° | 186 | |
B | (GradeSchool) Geometric | Processed-b792486c-b9f0-4dad-97d8-13a95d629c29 | <image>
如图,△ABC内接于⊙O,E是AC上一点,EF⊥AB于点F,且\frac{AE}{EF}=\frac{3}{4},BC=10,则BC的弦心距OD等于()
Choices:
(A) \frac{9}{4}
(B) \frac{15}{4}
(C) 4
(D) \frac{12}{5} | 187 | |
C | (GradeSchool) Geometric | Processed-7271797c-3318-4968-b158-188270f0c19d | <image>
如图,点F在平行四边形ABCD的边CD上,且\frac{CF}{AB}=\frac{2}{3},连接BF并延长交AD的延长线于点E,则\frac{DE}{BC}的值为()
Choices:
(A) \frac{1}{3}
(B) \frac{2}{3}
(C) \frac{1}{2}
(D) \frac{2}{5} | 188 | |
C | (GradeSchool) Geometric | Processed-9fdfd29a-81a8-48ac-838d-99ae729e8b24 | <image>
如图,在圆O中,弦AB、CD所对的圆心角分别是∠AOB、∠COD,若∠AOB和∠COD互补,且AB=2,CD=4,则圆O的半径是()
Choices:
(A) √{3}
(B) 2
(C) √{5}
(D) 4 | 189 | |
C | (GradeSchool) Geometric | Processed-f6f3103a-96e4-4e8c-8e2f-2e82344031de | <image>
如图①为我们常见的马扎,图②是马扎撑开后的侧面示意图,其中腿AB和CD的长度相等,O是它们的中点,为使马扎既舒适又牢固,匠工师傅将撑开后的马扎高度设计为32cm,∠DOB=100°,那么腿AB的长度大约为(结果精确到0.1cm,参考数据:sin50°=cos40°≈0.77,sin40°=cos50°≈0.64,tan40°≈0.84,tan50°≈1.19)()
Choices:
(A) 38.1cm
(B) 49.8cm
(C) 41.6cm
(D) 45.3cm | 190 | |
B | (GradeSchool) Geometric | Processed-c8208ddb-f865-4048-b2c5-311de1400afe | <image>
如图,过平行四边形的对称中心0任意画5条直线a、b、m、n、l,已知BC=6,BC边上的高为4,则阴影部分的面积为()
Choices:
(A) 24
(B) 12
(C) 6
(D) 3 | 191 | |
D | (GradeSchool) Geometric | Processed-79b12725-e6b7-497e-b60f-f772390dfce8 | <image>
如图,四边形OABC为菱形,点A、B在以点O为圆心的弧DE上,若AO=3,∠1=∠2,则扇形ODE的面积为()
Choices:
(A) \frac{3}{2}π
(B) 2π
(C) \frac{5}{2}π
(D) 3π | 192 | |
A | (GradeSchool) Geometric | Processed-c6818044-5380-4e25-8d99-04f79e8081a7 | <image>
如图,⊙O直径AB=8,∠CBD=30°,则CD=()
Choices:
(A) 4
(B) 6
(C) 3
(D) 2√{2} | 193 | |
A | (GradeSchool) Geometric | Processed-b92b8553-163e-4e7f-a264-eac1e1c0e06e | <image>
如图,∠BOC=130°,∠ABO=∠CBE,∠ACO=∠BCD,∠CDE=45°,FA⊥BA交BC延长线于F,则∠FAC的度数为()
Choices:
(A) 5°
(B) 10°
(C) 15°
(D) 以上答案都不对 | 194 | |
A | (GradeSchool) Geometric | Processed-63f0efb1-3aef-47ec-aef5-868925ebb4b8 | <image>
如图,一艘海轮位于灯塔P的北偏东30°方向,距离灯塔80海里的A处,它沿正南方向航行一段时间后,到达位于灯塔P的南偏东45°方向上的B处,这时,海轮所在的B处与灯塔P的距离为()
Choices:
(A) 40√{2}海里
(B) 40√{3}海里
(C) 80海里
(D) 40√{6}海里 | 195 | |
B | (GradeSchool) Geometric | Processed-6ebfbf05-e286-4076-b140-727d09916bba | <image>
如图,在△ABC中,DE∥BC,DF∥AC,EG∥AB,且AE:EC=3:2,若BC=10,则FG的长为()
Choices:
(A) 1
(B) 2
(C) 3
(D) 4 | 196 | |
D | (GradeSchool) Geometric | Processed-60b397bf-da2e-4676-81aa-8bad2bfec928 | <image>
如图,D是⊙O的直径,A、B是⊙O上的两点,若∠ADC=80°,则∠ABD的度数为()
Choices:
(A) 40°
(B) 30°
(C) 20°
(D) 10° | 197 | |
C | (GradeSchool) Geometric | Processed-4c7f339a-5080-4f1c-85b0-eb8cd5a27b4a | <image>
如图,BC的垂直平分线分别交AB、BC于点D和点E,连接CD,AC=DC,∠B=25°,则∠ACD的度数是()
Choices:
(A) 50°
(B) 65°
(C) 80°
(D) 100° | 198 | |
A | (GradeSchool) Geometric | Processed-c5fb1b9e-151d-427f-9e02-1c4cd89e2a48 | <image>
如图,将△ABC绕点C按顺时针方向旋转至△A′B′C,使点A′落在BC的延长线上．已知∠A=27°,∠B=40°,则∠ACB′是()
Choices:
(A) 46°
(B) 45°
(C) 44°
(D) 43° | 199 | |
A | (GradeSchool) Geometric | Processed-3b44a1fb-5cf3-4786-9838-8bfccf0884a1 | <image>
如图,AB为⊙O的直径,C、D是⊙O上的两点,∠CDB=25°,过点C作⊙O的切线交AB的延长线于点E,则∠E的度数为()
Choices:
(A) 40°
(B) 50°
(C) 55°
(D) 60° | 200 | |
C | (GradeSchool) Geometric | Processed-711b4e1a-ccaa-494d-88e3-111fed0348d0 | <image>
如图所示,CD为Rt△ABC斜边上的高,AC:BC=3:2,如果S~△ADC~=9,那么S~△BDC~等于()
Choices:
(A) 2
(B) 3
(C) 4
(D) 5 | 201 | |
D | (GradeSchool) Geometric | Processed-0b0ce33a-e962-49c1-b784-41538373742a | <image>
如图,半径为5的⊙A中,已知DE=6,∠BAC+∠EAD=180°,则弦BC的长为()
Choices:
(A) √{41}
(B) √{61}
(C) 11
(D) 8 | 202 | |
C | (GradeSchool) Geometric | Processed-8dc40369-6a11-4957-8995-20a6328e1aac | <image>
如图,AB是⊙O的直径,点D在AB的延长线上,DC切⊙O于点C,若∠A=25°,则∠D等于()
Choices:
(A) 20°
(B) 30°
(C) 40°
(D) 50° | 203 | |
C | (GradeSchool) Geometric | Processed-e0d4f348-f96f-40ee-97c4-dea108a637a7 | <image>
已知△ABC中,AD∥BC,CD交AB于E,EF∥BC,AE:EB=1:2,S~△ADE~=1,则S~△AEF~=()
Choices:
(A) \frac{1}{3}
(B) \frac{1}{2}
(C) \frac{2}{3}
(D) \frac{3}{4} | 205 | |
A | (GradeSchool) Geometric | Processed-0ffc0484-92a0-4619-aa99-59a224825c24 | <image>
如图,在△ABC中,∠CAB=80°,在同一平面内,将△ABC绕点A旋转到△AB′C′的位置,使得CC′∥AB,则∠BAB′等于()
Choices:
(A) 20°
(B) 35°
(C) 30°
(D) 50° | 206 | |
140° | (GradeSchool) Geometric | Processed-aa218dac-c597-4f2e-9d66-48c32611aa6e | <image>
If AB is the diameter of circle E and ∠BEC = 40°, what is the measure of ∠BED? | 207 | |
20° | (GradeSchool) Geometric | Processed-74833fd9-cb18-4669-a63d-c3a9d1a480f4 | <image>
If AB is the diameter of circle E and ∠BEC = 40°, what is the measure of ∠CDE? | 208 | |
90° | (GradeSchool) Geometric | Processed-43362e21-b596-4130-a9f5-dad5621e2262 | <image>
What is the measure of angle ECF in the rectangle CDEF? | 209 | |
90° | (GradeSchool) Geometric | Processed-845b73c7-ae3b-4683-bd4d-8439057830a2 | <image>
What is the measure of angle ACB? | 210 | |
20° | (GradeSchool) Geometric | Processed-c68c3ebb-3dbd-4bbb-aef5-6713ff27e99f | <image>
In the given circle with center O, if AB is the diameter and ∠AEC = 20°, what is the measure of ∠EDC? | 211 | |
54° | (GradeSchool) Geometric | Processed-2a484d14-c347-45ac-9fb0-57f6548471a5 | <image>
If ∠APB = 126° and ∠AQF = 100°, what is the measure of ∠BPC? | 212 | |
80° | (GradeSchool) Geometric | Processed-9f7e849f-7395-4e0b-99b2-97c3f1a61f28 | <image>
If ∠APB = 126° and ∠AQF = 100°, what is the measure of ∠FQE? | 213 | |
4 | (GradeSchool) Geometric | Processed-af96c040-cb8a-4f39-bc6e-48db51b207e4 | <image>
In the given triangle ABC, if D and E are the midpoints of BC and AC respectively, and BF bisects angle ABC, what is the length of BE if AC = 8? | 214 | |
26° | (GradeSchool) Geometric | Processed-e50db32f-950c-4c5b-9e6c-5632bf5f5831 | <image>
If ∠CBE = 52°, what is the measure of ∠DBC? | 215 | |
10 | (GradeSchool) Geometric | Processed-b7502a21-3f52-4c3d-a4c4-c1aa2c10169d | <image>
Given that AB intersects CD at point E, AD is parallel to BC, and the ratio of BE to AE is 3 to 5, if the length of CD is 16, what is the length of AE? | 216 | |
25° | (GradeSchool) Geometric | Processed-810bbf28-a892-4c60-8141-7023905f2849 | <image>
If ∠A = 65° in triangle ABC, what is the measure of ∠B? | 217 | |
2 | (GradeSchool) Geometric | Processed-23c0624e-fa63-4f3e-b949-d3954716f224 | <image>
If AB is the diameter of circle O and CD is a chord on circle O, with ∠DCB=30°, and AB=4, what is the length of chord CD? | 218 | |
46° | (GradeSchool) Geometric | Processed-02fa95e7-c2fb-49e3-a5ba-4be38c1a9cb7 | <image>
如图,点A、B、C都在⊙O上,若∠A=44°,则∠ACB的度数为多少？ | 219 | |
60° | (GradeSchool) Geometric | Processed-558a0155-1cc8-4f7a-a033-b20161bfd56c | <image>
If AB is the diameter of circle O and ∠D is 30°, what is the measure of ∠DOB? | 220 | |
65° | (GradeSchool) Geometric | Processed-06088180-3c26-4cf3-8580-9310126354bf | <image>
Given that AD is the diameter of circle O and ∠ABC = 25°, what is the measure of ∠BAC? | 221 | |
30° | (GradeSchool) Geometric | Processed-a7de6cbb-e954-4ef8-8ecc-5a9841f85527 | <image>
If ∠A = 120° and BD is the angle bisector of ∠ABC, what is the measure of ∠ABD? | 222 | |
2 | (GradeSchool) Geometric | Processed-dc3efdd4-adfb-4600-bf54-571c704a257e | <image>
What is the length of segment AE in the square ABCD if AG = 2? | 223 | |
3 | (GradeSchool) Geometric | Processed-e922b306-2d88-4cc7-83e7-4aa891c11373 | <image>
Given that DE is parallel to BC in triangle ABC, and AD:DB = 1:2, if the length of DE is 3, what is the length of segment AE? | 224 |
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