CameraIcon

SearchIcon

MyQuestionIcon

1

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

Congruency of Triangles

ABCD is a tra...

Question

ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Then, AC = BD.

A

True

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

B

False

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

Open in App

Solution

The correct option is A True
We observe that,
AB = BA (Common side)
BC = AD (Given)
$∠ B = ∠ A$ (Proved before)
$Δ A B C ≅ Δ B A D$ (SAS congruence rule)
hence, AC = BD (CPCT)

Suggest Corrections

thumbs-up

0

Similar questions

Q. ABCD is a trapezium in which AB || CD and AD = BC (see the given figure). Then,

Q. Question 12 (iv)
ABCD is a trapezium in which AB || CD and AD =BC (see the given figure). Show that Diagonal AC=diagonal BD.

State True or False

A B C D

is trapezium in which

A B | | C D

A D | | B C

Q. ABCD is a trapezium in which AB | | CD and AD =BC (see the given figure). Show that

Δ A B C ≅ Δ B A D

Q. ABCD is a trapezium in which AB parallel CD and AD =BC (see the given figure). Show that

∠ A = ∠ B

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Congruency of Triangles

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon