Question

WILL AWARD BRAINLIEST

Answer 1

Answer:

ΔABC is similar to ΔCDE

Step-by-step explanation:

Statement                               Reason

DE ║AB                                  Given

∠CDE ≅ ∠CAB                      Corresponding Angles Theorem

∠C ≅ ∠C                                Reflexive property of congruence

ΔABC is similar to ΔCDE      AA postulate

The Corresponding Angles Theorem states: If two parallel lines (DE and AB) are cut by a transversal (CA), then the pairs of corresponding angles are congruent (∠CDE and ∠CAB).

Reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself (∠C is congruent to itself).

Angle Angle (AA) postulate states that two triangles are similar if they have two corresponding angles congruent (∠CDE ≅ ∠CAB and ∠C ≅ ∠C)