E M B I B E

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 13

HARD

9th CBSE

IMPORTANT

Earn 100

$A B$ is a line segment. $P$ and $Q$ are points on opposite sides of $A B$ such that each of them is equidistant from the points $A$ and $B$ (See figure). Show that the line $P Q$ is the perpendicular bisector of $A B .$

Important Questions on Congruent Triangles

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 1

$BD$ and $CE$ are bisectors of $∠ B$ and $∠ C$ of an isosceles $Δ ABC$ with $AB = AC$ . Prove that $BD = CE$ .

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MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 2

In the given figure, it is given that $R T = T S, ∠ 1 = 2 ∠ 2$ and $∠ 4 = 2 ∠ 3$ . Prove that $Δ R B T ≅ Δ S A T$ .

Question Image

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 3

Two lines

A B

and

C D

intersect at

O

such that

B C

is equal and parallel to

A D

. Prove that the lines

A B

and

C D

bisect at

O .

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 1

In two right triangles one side and an acute angle of one are equal to the corresponding side and angle of the other. Prove that the triangles are congruent.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 2

If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 3

In an isosceles triangle, if the vertex angle is twice the sum of the base angles, calculate the angles of the triangle.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 4

Prove that each angle of an equilateral triangle is

60 °

.

MEDIUM

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 12 - Congruent Triangles>EXERCISE>Q 5

Angles

A, B, C

of a triangle

A B C

are equal to each other. Prove that

∆ A B C

is equilateral.

Learn and Prepare for any exam you want !

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AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See figure). Show that the line PQ is the perpendicular bisector of AB.

Important Questions on Congruent Triangles

Learn and Prepare for any exam you want !

$A B$ is a line segment. $P$ and $Q$ are points on opposite sides of $A B$ such that each of them is equidistant from the points $A$ and $B$ (See figure). Show that the line $P Q$ is the perpendicular bisector of $A B .$