The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Hence,AM = AN

State true or false.

Question

The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Hence,AM = AN

State true or false.

Answer 1

Given: $A B = A C$
Also, $B M = C N$
hence, $A B - B M = A C - C N$
$A M = A N$

Answer 2

Given:

A B = A C

Also,

B M = C N

hence,

A B - B M = A C - C N

A M = A N

The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Hence,AM = AN

State true or false.

True

False

Answer

Given: $A B = A C$
Also, $B M = C N$
hence, $A B - B M = A C - C N$
$A M = A N$

Practice important Questions

Class 9 Maths Chapter 1 to 30

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The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.Hence,AM = AN State true or false.

True

False

Answer

Given: AB=AC Also, BM=CN hence, AB−BM=AC−CN AM=AN

Practice important Questions

Class 9 Maths Chapter 1 to 30

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Take Toppr Scholastic Test for Aptitude and Reasoning

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The given figure shows a triangle ABC in which AB = AC. M is a point on AB and N is a point on AC such that BM = CN.
Hence,AM = AN

State true or false.

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Also, $B M = C N$
hence, $A B - B M = A C - C N$
$A M = A N$

In the fig shown $D E ∥ B C$ and $A D = 3 x - 2, A E = 5 x - 4, B D = 7 x - 5, C E = 5 x - 3$ then find the value of $x$

In a square ABCD, diagonals meet at O. P is a point on BC such that OB = BP.
$∠ B O P = 3 ∠ C O P$

State whether the above statement is true or false.

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles.
$△ Y Z X ≅ △ P Q R$

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then, $∠ A O B = 9 0^{\circ}$

State whether the above statement is true or false.

the perpendiculars from B and C to the opposite sides are equal.
If the above statement is true then mention answer as 1, else mention 0 if false

State whether the given statement is true or false
A triangle ABC in which DE||BC, and intersects AB in D and AC in E
Hence,
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