You visited us 1 times! Enjoying our articles? Unlock Full Access!

Congruency of Triangles

Given, ABC∼...

Question

Given, $△ A B C \sim △ E D C$ .
Find the condition that must be true according to the given information.

¯ ¯¯¯¯¯¯ ¯ A E ∥ ¯ ¯¯¯¯¯¯¯ ¯ B D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

¯ ¯¯¯¯¯¯ ¯ A E ⊥ ¯ ¯¯¯¯¯¯¯ ¯ B D

No worries! We‘ve got your back. Try BYJU‘S free classes today!

¯ ¯¯¯¯¯¯ ¯ A B ∥ ¯ ¯¯¯¯¯¯¯ ¯ D E

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

¯ ¯¯¯¯¯¯ ¯ A B ⊥ ¯ ¯¯¯¯¯¯¯ ¯ D E

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $¯ ¯¯¯¯¯¯ ¯ A B ∥ ¯ ¯¯¯¯¯¯¯ ¯ D E$
$△ A B C \sim △ E D C$ ....Given
so $∠ A B C ≅ ∠ E D C$
so $A B ∥ D E$ , ( the alternate angle criteria.)

Suggest Corrections

Similar questions

A B ∥ D E

∠ A B C = 115^{o}

∠ E D C = 140^{o}

x

A C = A D

∠ C A B = ∠ B A D

△ A B C ≅ △ A B D

9 n △ A B C

△ A B D

A C = A D

∠ C A B = ∠ B A D

A B = B A

△ A B C ≅ △ A B D

B C = B D

A B = 12 c m, C D = 8 c m, B D = 20 c m

∠ A B D = ∠ A E C = ∠ E D C = 90^{\circ}

B E = x

A B C D E

A B = A E, B C = E D

∠ A B C = ∠ A E D

∠ B C D = ∠ E D C

Join BYJU'S Learning Program