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GEOMETRY AND POLYGONS + PRACTICAL GEOMETRY

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Question 1 of 10 0% read

1. The incenter of a triangle is the point of concurrency of:

A Angle bisectors
B Medians
C Altitudes
D Perpendicular bisectors

2. 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

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

A 360°
B 540°
C 720°
D 900°

4. 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

5. 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

6. 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

7. 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

8. Can a triangle be constructed if two sides and the included angle are given?

A Yes, by SAS criterion
B Yes, but only one triangle is possible
C No, not sufficient information
D Yes, if the angle is obtuse

9. How many perpendicular bisectors does a triangle have?

A 3
B 1
C 2
D 6

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

A 180°
B 270°
C 360°
D 540°

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