Questions: Similarity in Right Triangles Quiz Geometry A IS (TMHS) / Trigonometric Ratios 2. Write a similarity statement comparing the two triangles. △BCD ~ △DEA △EAD ~ △BDC △BDC ~ △EDA

Similarity in Right Triangles Quiz
Geometry A IS (TMHS) / Trigonometric Ratios
2. Write a similarity statement comparing the two triangles.
△BCD ~ △DEA
△EAD ~ △BDC
△BDC ~ △EDA

Transcript text: Similarity in Right Triangles Quiz Geometry A IS (TMHS) / Trigonometric Ratios 2. Write a similarity statement comparing the two triangles. $\triangle B C D \sim \triangle D E A$ $\triangle E A D \sim \triangle B D C$ $\triangle B D C \sim \triangle E D A$

Solution

Solution Steps

Step 1: Identify corresponding angles

Angle BAC and angle EAD are marked as congruent. Angle C and angle AED are marked as congruent. Angle BDA and angle EDA are both right angles, and thus are congruent.

Step 2: Determine order of similar triangles

Since angle A corresponds with angle A, angle C corresponds with angle AED, and angle B corresponds with angle ADE, the similarity statement can be written as ΔBAC ~ ΔEAD, or other equivalent orderings such as ΔEAD ~ ΔBAC or ΔABC ~ ΔAED.

Final Answer

ΔEAD ~ ΔBAC

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