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Mth – GEOMETRY AND POLYGONS

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Question 1 of 20 0% read

1. A conjecture is a statement that is:

A Proven to be true
B Accepted without proof
C Believed to be true but not yet proven
D Always false

2. A theorem is different from an axiom because a theorem:

A Is accepted without proof
B Requires proof
C Is always false
D Is a definition

3. If two polygons are similar, their corresponding sides are:

A Equal
B Proportional
C Parallel
D Perpendicular

4. If two polygons are similar, their corresponding angles are:

A Equal
B Proportional
C Supplementary
D Complementary

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

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

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. What is the sum of interior angles of a quadrilateral?

A 180°
B 270°
C 360°
D 540°

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

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

10. The locus of points equidistant from the sides of an angle is the:

A Perpendicular bisector
B Angle bisector
C Circle
D Line segment

11. If the radius of a sphere is tripled, the volume becomes how many times?

A 3 times
B 6 times
C 9 times
D 27 times

12. What is the measure of each interior angle of a regular decagon?

A 136°
B 140°
C 144°
D 150°

13. 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

14. 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

15. The locus of a point that moves such that its distance from a fixed line is constant is:

A A circle
B A pair of parallel lines
C A line segment
D A parabola

16. The measure of each interior angle of a regular polygon is 150°. How many sides does it have?

A 10
B 12
C 15
D 18

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

A 30°
B 45°
C 60°
D 90°

18. If two similar figures have side length ratio 5:2, what is the ratio of their volumes?

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

19. 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

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

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