Question

1. Which correspondence accurately describes the two congruent triangles shown here?

triangleABE = triangleBCD
triangleAEB = triangleCBD
triangleEAB = triangleDBC
triangleABE = triangleCBD


60°

180°

30°

Not enough information given

Thank you :)

Answer 1

traiangle ABE = triangle CBD this is wrote right

bc. to angle A corespond angle C
and to angle B corespond angle B
and to angle E corespond angle D

so and than you check this posted image these coresponding angles are congruent angles what mean that these two triangles are congruent

Answer 2

In the first image, the congruence can be written in three ways:

`\triangle DCB \cong \triangle EAB\\\triangle ABE \cong \triangle CBD\\\triangle AEB \cong \triangle CDB`

As you can see, among the given options, the correct answer is the last one:

`triangle ABE \cong \triangle CBD`

Because, with this arrangement, all congruent parts are at their corresponding position, that is:

`\angle A \cong \angle C\\\angle E \cong \angle D\\\angle B \cong \angle B\\AB \cong CB\\BE \cong BD\\AE \cong CD`

The other image is about an equilateral triangle, because it shows all sides congruent. From the definition of this triangle, it's deducted that all angles are equal, and we now that the sum of all internal angles in a triangle must sum 180°. That means that each angles measures 60°, because 60+60+60=180

Therefore, in the second image, the answer is 60°.