GEOMETRY AND POLYGONS

1

If two similar triangles have side lengths in ratio 3:5, what is the ratio of their areas?

A 3:5 B 9:25 C 27:125 D 6:10

2

If the side length of a cube is doubled, the volume becomes:

A 2 times B 4 times C 6 times D 8 times

3

If the ratio of areas of two similar triangles is 16:25, what is the ratio of their corresponding sides?

A 4:5 B 16:25 C 2:5 D 8:10

4

If the ratio of volumes of two similar spheres is 1:8, what is the ratio of their radii?

A 1:2 B 1:4 C 1:8 D 1:16

5

What is the scale factor between two similar figures if the ratio of corresponding sides is 2:3?

A 2/3 B 3/2 C 4/9 D 9/4

6

If two similar pyramids have base areas in ratio 9:16, what is the ratio of their heights?

A 3:4 B 9:16 C 27:64 D 4:3

7

How many sides does a regular polygon have if each interior angle is 156°?

A 10 B 12 C 15 D 18

8

If two similar rectangles have corresponding sides in ratio 2:5, what is the ratio of their areas?

A 2:5 B 4:25 C 8:125 D 4:10

9

What is the measure of each exterior angle of a regular hexagon?

A 30° B 45° C 60° D 90°

10

What is a statement that is accepted as true without proof called?

A Axiom B Theorem C Conjecture D Corollary

11

A conjecture becomes a theorem when it is:

A Accepted as truth B Disproved C Proven using logical reasoning D Published

12

If two similar cylinders have heights in ratio 2:5, what is the ratio of their curved surface areas?

A 2:5 B 4:25 C 8:125 D 2:10

13

What is the measure of each interior angle of a regular nonagon?

A 120° B 135° C 140° D 150°

14

If two similar triangles have areas in ratio 1:9, what is the ratio of their corresponding sides?

A 1:3 B 1:9 C 1:81 D 3:1

15

What is the locus of points that are at a distance less than 5 units from a fixed point?

A Circle of radius 5 B Interior of a circle of radius 5 C Line segment D Square

16

What is the number of sides of a regular polygon if the measure of each interior angle is 135°?

A 6 B 8 C 10 D 12

17

If the scale factor of two similar solids is 2, the ratio of their surface areas is:

A 2:1 B 4:1 C 8:1 D 6:1

18

If two polygons are similar, their corresponding sides are:

A Equal B Proportional C Parallel D Perpendicular

19

If two similar triangles have perimeters in ratio 2:3, the ratio of their areas is:

A 2:3 B 4:9 C 8:27 D 3:2

20

If the scale factor between two similar figures is 3:4, the ratio of their volumes is:

A 3:4 B 9:16 C 27:64 D 6:8

21

What is the sum of interior angles of a regular hexagon?

A 360° B 540° C 720° D 900°

22

If two similar solids have side lengths in ratio 1:4, what is the ratio of their volumes?

A 1:4 B 1:16 C 1:64 D 1:8

23

What is the measure of each exterior angle of a regular octagon?

A 30° B 45° C 60° D 90°

24

If two similar polygons have areas in ratio 4:9, what is the ratio of their perimeters?

A 2:3 B 4:9 C 16:81 D 4:6

25

A polygon with all sides equal and all angles equal is called:

A Regular polygon B Irregular polygon C Convex polygon D Concave polygon