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Corresponding Parts of Congruent Triangles

Given trapezi...

Question

Given trapezium ABCD where $Δ D A B ≅ Δ C B A$ .

Which of the following options is true based on the given information?

$B D ≅ C D$

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$∠ B C E ≅ ∠ D A B$

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$D A ≅ D C$

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$∠ A C B ≅ ∠ B D A$

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Solution

The correct option is D
$∠ A C B ≅ ∠ B D A$

Given $Δ D A B ≅ Δ C B A$ .

Among the given options, $∠ A C B$ and $∠ B D A$ are corresponding angles in congruent triangles and are hence congruent.

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Similar questions

In the given figure,ABCD is a ||gm in which AB=CD=5 cm and $B D ⊥ D C$ such that BD=6.8 cm.Then,the area of ABCD=?

(a) $17 c m^{2}$

(b) $25 c m^{2}$

(d) $68 c m^{2}$

Given trapezium ABCD where $Δ D A B ≅ Δ C B A$ .

Which of the following options is true based on the given information?

A B C D

A B

D C

A D = B C

A C = B D

A B C D

A B | | C D

A D | | B C

In the given figure, ABCD is a trapezium. M and N are midpoints of diagonals AC and BD respectively. Which of the following is true?

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