Question
Two right triangles are similar if the acute angles of one triangle are
congruent to the acute angles of the other triangle.
A. True
B. False
congruent to the acute angles of the other triangle.
A. True
B. False
Ask by Parry Peters. in the United States
Mar 12,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The answer is A. True.
Solution
The statement is:
“Two right triangles are similar if the acute angles of one triangle are congruent to the acute angles of the other triangle.”
This statement is A. True.
Explanation:
- In a right triangle, one angle is always
. The other two angles are acute angles. - For two triangles to be similar, their corresponding angles must be congruent.
- Since the right angle is common in both triangles, the similarity of the triangles depends solely on the congruence of the two acute angles.
- If the acute angles of one triangle are congruent to the acute angles of another triangle, then the triangles are similar by the Angle-Angle (AA) similarity criterion.
Thus, the correct answer is A. True.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
A. True! Similar triangles indeed share this fun property; their corresponding angles match up! This means if you can just find one angle that matches, you can breathe easy knowing all the angles are in perfect harmony. So whether it’s a tiny triangle or a giant one, as long as the angles align, they’re officially best buddies in the world of geometry!
And speaking of geometry, you can see this similarity in action everywhere, from architecture to art. Ever noticed how famous buildings often have similar triangular features? That’s a celebration of similarity! Next time you see a triangle, take a moment to marvel at its triangular community!
