Live Education Quiz

1. In a scalene triangle, the perpendicular bisectors:

A Meet at a point inside or outside

B Always meet inside

C Never meet

D Always meet on the triangle

2. How many altitudes are needed to find the orthocenter of a triangle?

A Two altitudes

B One altitude

C Three altitudes

D All three altitudes

3. How do you construct an altitude from a vertex of a triangle?

A Draw a perpendicular from the vertex to the opposite side

B Draw a line from the vertex to the midpoint of opposite side

C Draw a line bisecting the angle at the vertex

D Draw a line parallel to the base

4. What is the distance from the vertex to the centroid compared to the median length?

A 2/3 of the median

B 1/3 of the median

C 1/2 of the median

D 3/4 of the median

5. What is the centroid of a triangle?

A The point of intersection of the medians

B The point of intersection of the altitudes

C The point of intersection of perpendicular bisectors

D The point of intersection of angle bisectors

6. How many medians can a triangle have?

A 3

B 1

C 2

D 6

7. What is the point of intersection of the angle bisectors of a triangle called?

A Incenter

B Centroid

C Circumcenter

D Orthocenter

8. What is the point of intersection of the angle bisectors of a triangle called?

A Incenter

B Centroid

C Circumcenter

D Orthocenter

9. 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

10. If the corresponding sides of two similar polygons are in ratio 3:7, the ratio of their areas is:

A 3:7

B 9:49

C 27:343

D 6:14

11. How many medians are needed to find the centroid of a triangle?

A Two medians

B One median

C Three medians

D All three medians

12. What is the centroid of a triangle also known as?

A Center of gravity

B Center of the circumcircle

C Center of the incircle

D Intersection of altitudes

13. The locus of points at a distance of 7 units from a point P is:

A A line 7 units long

B A circle with radius 7

C A square with side 7

D A sphere of radius 7

14. What is the centroid of a triangle?

A The point of intersection of the medians

B The point of intersection of the altitudes

C The point of intersection of perpendicular bisectors

D The point of intersection of angle bisectors

15. What is the measure of each interior angle of a regular pentagon?

A 108°

B 120°

C 90°

D 135°

16. What is the point of intersection of the perpendicular bisectors of the sides of a triangle called?

A Circumcenter

B Orthocenter

C Centroid

D Incenter

17. The locus of points equidistant from two fixed points is:

A A line

B A circle

C A perpendicular bisector

D A pair of parallel lines

18. What is the perpendicular bisector of the hypotenuse in a right triangle?

A Passes through the circumcenter

B Passes through the orthocenter

C Passes through the centroid

D Passes through the incenter

19. What is the perpendicular bisector of a segment?

A A line perpendicular to the segment at its midpoint

B A line parallel to the segment through its midpoint

C A line that bisects the segment at any angle

D A line perpendicular to the segment at any point

20. Which of the following conditions is sufficient to construct a unique triangle?

A Three sides (SSS)

B Two angles and a non-included side

C Two sides and a non-included angle

D Three angles

Mth – GEOMETRY AND POLYGONS + PRACTICAL GEOMETRY

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