Question

Indicate the method you would use to prove the two ‘s if no method applies enter none

SSS
SAS
ASA
AAS
NONE

Answer 1

We would use ASA criteria
Because we have one pair of sides are equal
One pair of angles are equal
And one pair of opposite sides are equal
Thus, we use option 3.

Answer 2

(C) ASA method

Explanation:

Given: From the figure, it can be seen that ∠BAC=∠CDE=25° and AC=CD.

To find: Method to prove two triangles are congruent.

Solution: From the figure, it can be seen that ∠BAC=∠CDE=25° and AC=CD, therefore

From ΔABC and ΔCDE, we have

∠BAC=∠CDE=25° (Given)

AC=CD (Given)

∠ACB=∠DCE (Vertically opposite angles)

thus, by ASA rule,

ΔABC ≅ΔCDE

Hence, option C is correct that is by ASA method.