Then,
Answer: DC produced bisects BC at right angle.
If true then enter 1 else if False enter 0

Question

Then,
Answer: DC produced bisects BC at right angle.
If true then enter 1 else if False enter 0

Answer 1

Let $△ A B C$ be an isosceles.
$A B = A C ⟶ (1)$

Hence $△ D B C$ is isosceles,
$D B = D C ⟶ (2)$
In $△ A B D$ and $△ D B C, A B = A C [From (1)], B D = D C (From (2)) A D = A D (common)$
$t h e r e f o r e △ A B D ≅ △ A C D (SSS congruence rule.)$
The statement is false.

Answer 2

Let

△ A B C

be an isosceles.

A B = A C ⟶ (1)

Hence

△ D B C

is isosceles,

D B = D C ⟶ (2)

In

△ A B D

and

△ D B C, A B = A C [From (1)], B D = D C (From (2)) A D = A D (common)

t h e r e f o r e △ A B D ≅ △ A C D (SSS congruence rule.)

The statement is false.

Then,
Answer: DC produced bisects BC at right angle.
If true then enter 1 else if False enter 0

Answer

Let $△ A B C$ be an isosceles.
$A B = A C ⟶ (1)$

Hence $△ D B C$ is isosceles,
$D B = D C ⟶ (2)$
In $△ A B D$ and $△ D B C, A B = A C [From (1)], B D = D C (From (2)) A D = A D (common)$
$t h e r e f o r e △ A B D ≅ △ A C D (SSS congruence rule.)$
The statement is false.

Practice important Questions

Class 9 Maths Chapter 1 to 30

Related questions

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then $∠ C A D = ∠ B A E$
If true then enter $1$ and if false then enter $0$

There is an equilateral triangle $A B C$ on a plane. How many points 'X' can you find inside this triangle so that the area of triangle $A B X, B C X$ and $A C X$ are equal?

Hence, $∠ A E B = 9 0^{\circ}$
Say true or false.

In the given figure, $A P$ bisects $∠ A$ , and $A B$ = $A C$ .
Is $B P$ > $P Q$ .

Which of the following is not a criterion for congruence of triangle?

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

$∠ C A D = ∠ B A E$
State whether the above statement is true or false.

In $△ A B C, ∠ A = 8 0^{o}, ∠ B = 6 0^{o}$ if $△ A B C \sim △ R Q P$ , find the value of $∠ P$ .

Which of the following is false for two congruent triangles

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Then, Answer: DC produced bisects BC at right angle. If true then enter 1 else if False enter 0

Answer

Let △ABC be an isosceles.AB=AC⟶(1) Hence △DBC is isosceles,DB=DC⟶(2)In △ABD and △DBC,AB=AC [From (1)],BD=DC (From (2))AD=AD (common)therefore△ABD≅△ACD (SSS congruence rule.)The statement is false.

Practice important Questions

Class 9 Maths Chapter 1 to 30

Related questions

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then ∠CAD=∠BAE If true then enter 1 and if false then enter 0

There is an equilateral triangle ABC on a plane. How many points 'X' can you find inside this triangle so that the area of triangle ABX,BCX and ACX are equal?

Hence, ∠AEB=90∘ Say true or false.

In the given figure, AP bisects ∠A, and AB = AC. Is BP>PQ .

Which of the following is not a criterion for congruence of triangle?

Without drawing the triangles write all size pairs of equal measures in each of the following pairs of congruent triangles. △YZX≅△PQR

∠CAD=∠BAEState whether the above statement is true or false.

ΔABC and ΔDBC are two isosceles triangle on the same base BC and vertices A and D are on the same side of BC (see fig7.39). If AD is extended to intersect BC at P, show that (i) ΔABD≅ΔACD (ii) ΔABP≅ΔACP (ii) AP bisects ∠A as wll as ∠D. (Iv) AP is the perpendicular bisector of BC.

In △ABC,∠A=80o,∠B=60o if △ABC∼△RQP, find the value of ∠P.

Which of the following is false for two congruent triangles

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

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Then,
Answer: DC produced bisects BC at right angle.
If true then enter 1 else if False enter 0

Let $△ A B C$ be an isosceles.
$A B = A C ⟶ (1)$

Hence $△ D B C$ is isosceles,
$D B = D C ⟶ (2)$
In $△ A B D$ and $△ D B C, A B = A C [From (1)], B D = D C (From (2)) A D = A D (common)$
$t h e r e f o r e △ A B D ≅ △ A C D (SSS congruence rule.)$
The statement is false.

On the sides AB and AC of triangle ABC, equailateral triangle ABD and ACE are drawn, then $∠ C A D = ∠ B A E$
If true then enter $1$ and if false then enter $0$

There is an equilateral triangle $A B C$ on a plane. How many points 'X' can you find inside this triangle so that the area of triangle $A B X, B C X$ and $A C X$ are equal?

Hence, $∠ A E B = 9 0^{\circ}$
Say true or false.

In the given figure, $A P$ bisects $∠ A$ , and $A B$ = $A C$ .
Is $B P$ > $P Q$ .

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

$∠ C A D = ∠ B A E$
State whether the above statement is true or false.

In $△ A B C, ∠ A = 8 0^{o}, ∠ B = 6 0^{o}$ if $△ A B C \sim △ R Q P$ , find the value of $∠ P$ .