Question

question 21 of 25

two right triangles that are not similar still may have one congruent acute angle in common.

a. true
b. false

Explanation:

Analyze the properties of right triangles

Using the Similar Triangles knowledge point, we know that all right triangles contain a right angle measuring \(90^\circ\). If two right triangles also share one congruent acute angle, they will have two pairs of congruent angles.

Apply similarity criteria

Using the AA Similarity Postulate knowledge point

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Evaluate the statement

Since any two right triangles with a congruent acute angle must be similar by AA similarity, it is impossible for them to be non-similar. Therefore, the statement "Two right triangles that are not similar still may have one congruent acute angle in common" is false.

Answer:

• A. True
• B. False (Correct answer)