Which statement and reason accurately completes the proof? 3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-

Question

katrin2010 [14]

2 years ago

14

Which statement and reason accurately completes the proof? 3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-

Angle (AA) Similarity Postulate 3. ΔBDE ~ ΔBAC; Corresponding Angles Postulate 5. ∠BDE ~ ∠BAC; Angle-Angle (AA) Similarity Postulate 3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate 3. ∠BDE ≅ ∠BAC; Congruent Angles Postulate 5. ΔBDE ~ ΔBAC; Side-Angle-Side (SAS) Similarity Postulate

Mathematics

1 answer:

ElenaW [278] · Answer 1 · 2022-04-25T10:51:40+03:00

Answer:

3. ∠BDE ≅ ∠BAC; Corresponding Angles Postulate 5. ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

Step-by-step explanation:

3) Statement ∠BDE ≅ ∠BAC;

Corresponding Angles Postulate

The Corresponding Angles Postulate states that given two parallel lines, in this case DE and AC cut by a transversal one (AB) than these corresponding angles are congruent.

5) ΔBDE ~ ΔBAC; Angle-Angle (AA) Similarity Postulate

If two pairs of corresponding angles are congruent (∠D and ∠A, ∠E and ∠C) than these triangles are similar.