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Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 7

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IMPORTANT

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A line segment $A B$ is bisected at point $P$ and through point $P$ another line segment $P Q$ , which is perpendicular to $A B$ , is drawn. Show that $Q A = Q B$ .

Important Questions on Triangles [Congruency in Triangles]

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9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 8

If

A P

bisects angle

B A C

and

M

is any point on

A P

, prove that the perpendiculars drawn from

M

to

A B

and

A C

are equal.

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Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 9

From the given diagram, in which $A B C D$ is a parallelogram, $A B L$ is a line segment and $E$ is mid-point of $B C$ . Prove that $△ D C E ≅ △ L B E$

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9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 9

From the given diagram, in which $A B C D$ is a parallelogram, $A B L$ is a line segment and $E$ is mid-point of $B C$ . Prove that $A B = B L$ .

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HARD

9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 9

From the given diagram, in which $A B C D$ is a parallelogram, $A B L$ is a line segment and $E$ is mid-point of $B C$ . Prove that $A L = 2 D C$ .

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9th ICSE

IMPORTANT

Concise Mathematics I.C.S.E - Class IX>Chapter 9 - Triangles [Congruency in Triangles]>EXERCISE>Q 10

194521

In the given figure, $A B = D B$ and $A C = D C$ . If $∠ A B D = 58 °, ∠ D B C = (2 x - 4) °, ∠ A C B = y + 15 °$ and $∠ D C B = 63 °$ ; find the values of $x$ and $y$ .