Explain why the triangle are similar and write a similarity statement. a.∠A=∼∠BED and ∠C=∼∠BDE by the Alternate Interior Angles Theorem. △ABC∼△EBD by AA Similarity. b.∠A=∼∠BDE and ∠C=∼∠BED by the Corresponding Angles Postulate. △ABC∼∠DBE by AA Similarity. c.∠A=∼∠BDE and ∠C=∼∠BED by the Corresponding Angles Postulate. △ABC∼△EBD by AA Similarity. d.∠A=∼∠BDE and ∠C=∼∠BED by the Alternate Interior Angles Theorem. △ABC∼△DBE by AA Similarity.

Question

Explain why the triangle are similar and write a similarity statement.    a.∠A=∼∠BED and ∠C=∼∠BDE by the Alternate Interior Angles Theorem.  △ABC∼△EBD by AA Similarity.  b.∠A=∼∠BDE and ∠C=∼∠BED by the Corresponding Angles Postulate.  △ABC∼∠DBE by AA Similarity.  c.∠A=∼∠BDE and ∠C=∼∠BED by the Corresponding Angles Postulate.  △ABC∼△EBD by AA Similarity.  d.∠A=∼∠BDE and ∠C=∼∠BED by the Alternate Interior Angles Theorem.  △ABC∼△DBE by AA Similarity.

jlo2niT · Accepted Answer

Step 1  Given:  Two triangles are given.  Step 2  From the given figure:  ⇒∠A=∼∠BDE   (Corresponding angles postulate)  ⇒∠C=∼∠BED   (Corresponding angles postulate)  So,  ⇒△ABC∼△DBE   (AA similarity postulate)  Option b is correct.

Explain why the triangle are similar and write a similarity statement a \angle A\cong \angle BED\ and\ \angle C\cong \angle BDE

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