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9th mathematics Chapter12 Line bisectors and angle bisectors

Sr #QuestionsABCD
1

In an isosceles triangle, the angle bisector of the vertex angle is also the:

 Altitude Median Perpendicular bisector None of the above
2

The angle bisector of an isosceles triangle divides the base into segments that are:

 Equal Congruent Proportional Perpendicular
3

If a line bisects a segment at a right angle, it is called a:

 Perpendicular bisector Median Altitude Angle bisector
4

In a triangle, the angle bisector is the same as:

 Perpendicular bisector Median Altitude None of the above
5

The point of concurrency of the angle bisectors in a triangle is called the:

 Incenter Centroid Circumcenter Orthocenter
6

If the angle bisector of an angle in a triangle is also the median, the triangle is:

 Acute-angled Obtuse-angled Right-angled Equilateral
7

The incenter of a triangle is equidistant from:

 The vertices of the triangle The midpoints of the sides of the triangle The intersection points of angle bisectors The circumcenter of the triangle
8

The point where the perpendicular bisectors of the sides of a triangle intersect is called the:

 Incenter Circumcenter Centroid Orthocenter
9

If a line bisects a segment, the two resulting segments are:

 Congruent Proportional Perpendicular Supplementary
10

The incenter of an equilateral triangle is also its:

 Circumcenter Centroid Orthocenter None of the above
11

What is the exterior angle bisector theorem?

 The exterior angle bisector of a triangle is always equal to half of the exterior angle. The exterior angle bisector of a triangle divides the opposite side proportionally to the adjacent sides. The exterior angle bisector of a triangle divides the opposite side in the ratio of the other two sides. The exterior angle bisector of a triangle is perpendicular to the interior angle bisector.
12

What is the angle bisector theorem?

 The bisector of an angle in a triangle divides the opposite side in the ratio of the other two sides. The bisector of an angle in a triangle divides the opposite side proportionally to the adjacent sides. The bisector of an angle in a triangle is always equal to half of the angle. The bisector of an angle in a triangle bisects the opposite side.