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AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

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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 $0$

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In the given figure alongside , $B A ∥ D F, C A ∥ E G & B D ∥ E C$ .
prove that
i) $B G = D F$
ii) $E G = C F$

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The following figure shows a triangle $A B C$ in which $A B = A C$ , $M$ is a point on $A B$ and $N$ is a point on $A C$ such that $B M = C N$ . Prove that :
i) $A M = A N$
ii) $Δ A M C ≅ Δ A N B$
iii) $B N = C M$
iv) $Δ B M C ≅ Δ C N B$

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In the adjacent figure, $C D$ and $B E$ are altitudes of an isosceles triangle $A B C$ with $A C = A B$ . Prove that $A E = A D$

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Which of the following pair of triangles are not congruent?

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$△ X Y Z \sim △ D E F$ for the correspondence XYZ $\leftrightarrow$ EFD, If $X Y : E F = 2 : 3$ and the area $△ X Y Z$ is $18$ , then the area of $△ D E F$ is ............

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GEHF is a parallelogram.

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Which of the following statements is true?

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Prove that the bisectors of the interior angles of a rectangle form a rectangle.

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AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false

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AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

Answer

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 $0$

In the given figure alongside , $B A ∥ D F, C A ∥ E G & B D ∥ E C$ .
prove that
i) $B G = D F$
ii) $E G = C F$

The following figure shows a triangle $A B C$ in which $A B = A C$ , $M$ is a point on $A B$ and $N$ is a point on $A C$ such that $B M = C N$ . Prove that :
i) $A M = A N$
ii) $Δ A M C ≅ Δ A N B$
iii) $B N = C M$
iv) $Δ B M C ≅ Δ C N B$

In the adjacent figure, $C D$ and $B E$ are altitudes of an isosceles triangle $A B C$ with $A C = A B$ . Prove that $A E = A D$

Which of the following pair of triangles are not congruent?

$△ X Y Z \sim △ D E F$ for the correspondence XYZ $\leftrightarrow$ EFD, If $X Y : E F = 2 : 3$ and the area $△ X Y Z$ is $18$ , then the area of $△ D E F$ is ............

GEHF is a parallelogram.

Which of the following statements is true?

Prove that the bisectors of the interior angles of a rectangle form a rectangle.

AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false

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AD is an altitude of an isosceles triangles ABC in which AB=AC. Show that AD bisects ∠A.

Answer

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

In the given figure alongside , BA∥DF,CA∥EG&BD∥EC . prove that i) BG=DF ii) EG=CF

The following 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. Prove that : i) AM=AN ii) ΔAMC≅ΔANB iii) BN=CM iv) ΔBMC≅ΔCNB

In the adjacent figure, CD and BE are altitudes of an isosceles triangle ABC with AC=AB. Prove that AE=AD

Which of the following pair of triangles are not congruent?

△XYZ∼△DEF for the correspondence XYZ ↔ EFD, If XY:EF=2:3 and the area △XYZ is 18, then the area of △DEF is ............

GEHF is a parallelogram.

Which of the following statements is true?

Prove that the bisectors of the interior angles of a rectangle form a rectangle.

AB = EC.If the above statement is true then mention answer as 1, else mention 0 if false

Learn with content

Take Toppr Scholastic Test for Aptitude and Reasoning

Win exciting scholarships and plan a great education plan

AD is an altitude of an isosceles triangles ABC in which AB $=$ AC. Show that AD bisects $∠$ A.

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 $0$

In the given figure alongside , $B A ∥ D F, C A ∥ E G & B D ∥ E C$ .
prove that
i) $B G = D F$
ii) $E G = C F$

The following figure shows a triangle $A B C$ in which $A B = A C$ , $M$ is a point on $A B$ and $N$ is a point on $A C$ such that $B M = C N$ . Prove that :
i) $A M = A N$
ii) $Δ A M C ≅ Δ A N B$
iii) $B N = C M$
iv) $Δ B M C ≅ Δ C N B$

In the adjacent figure, $C D$ and $B E$ are altitudes of an isosceles triangle $A B C$ with $A C = A B$ . Prove that $A E = A D$

$△ X Y Z \sim △ D E F$ for the correspondence XYZ $\leftrightarrow$ EFD, If $X Y : E F = 2 : 3$ and the area $△ X Y Z$ is $18$ , then the area of $△ D E F$ is ............

AB = EC.
If the above statement is true then mention answer as 1, else mention 0 if false