# 9th Class Math Chapter 12 Line Bisectors and Angle Bisectors Short Questions Answer

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## 9th Class Math Chapter 12 Line Bisectors and Angle Bisectors Short Questions Answer

Bisector of a line segment:

A line passing through the midpoint of a segment is called the bisector of line segment.

Bisector of an angle:

A ray that bisects an angle is called bisector of the angle.

Solution:

∆ABC is equilateral

m*∠*A = m*∠*B = m*∠*C = 60°

∴*∠*° = 60°

AD is bisector of A

x° = y° = m*∠*A

= ½ (60°) = 30°

x° = y° = 30°

Solution:

Corresponding sides of congruent triangles ∆LMO and ∆LNO.

LM ≅ LN

∴ 2x + 6 = 18

⟹ 2x = 18 – 6 = 12

x = 12/2 = 6

Given that mON = 12

Since given triangles are congruent therefore mOM = mON = 12

mOM = m = 12

If m AB = 6 cm, then find the m AL and m LB

If m BD = 4 cm, then find the m AD

Solution:

CD is right bisector

∴ AL ≅ BL

∴ mAL = mBL

= ½ m AB = ½ (6cm) = 3cm

m AL = m BL = 3cm

In ∆ALD ↔ ∆BLD

AL ≅ BL

BLD ≅BLD

and DL ≅ DL

∆ALD ≅ ∆BLD

So, m AD ≅ m BQ = 4cm

m AD = 4cm