If
4. which similarity postulate or theorem proves the triangles are similar? (1 point)

5. what are the congruent angles and/or proportional segments that justify the answer in number 4?

note- picture is attached and the answer is not the hypotenuse leg theorem

Part 4) AA Similarity Postulate

Part 5)

The congruent angles are

m<ACB=m<CED , m<ABC=m<CDE, m<BAC=m<DCE

The proportional segments are

Step-by-step explanation:

Part 4) we know that

If BC is parallel to DE

then

Triangles ABC and CDE are similar by AA Similarity Postulate ( the three interior angles are congruent)

so

m<ACB=m<CED ------> by corresponding angles

m<ABC=m<CDE -----> both angles measure is 90 degrees

m<BAC=m<DCE -----> the sum of the interior angles of a triangle must be equal to 180 degrees

If two figures are similar, then the ratio of its corresponding sides is equal

so

substitute the values

Find DE

In the triangle ABC

Applying Pythagoras Theorem

Find AC

Find CE

(23*2)-12=x     x=34

step-by-step explanation: