A. Write A if the statement is always true, S if it is sometimes true, and N if is is never true for all cases. 1. Two right triangles are similar. 2. The legs of a 45°- 45°- 90° Triangle are congruent. 3. The shorter leg of a 30°-60°-90° Triangle is half as long of its hypotenuse.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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S. 2020)
A. Write A if the statement is always true, S if it is sometimes true, and N if is is never true
for all cases.
1. Two right triangles are similar.
2. The legs of a 45°- 45°- 90° Triangle are congruent.
3. The shorter leg of a 30°- 60°- 90° Triangle is half as long of its hypotenuse.
4. If the legs of a right triangle are proportional to the legs of another right triangie then the
triangles are similar.
5. The longer leg of a 30°- 60°- 90° Triangle is twice as long of its hypotenuse.
6. Two right triangles are congruent.
7. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is right.
8. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is obtuse.
9. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is obtuse.
10. If the lengths of the sides of a right triangle are 4, 5 and 7 , then the triangle is acute.
Transcribed Image Text:S. 2020) A. Write A if the statement is always true, S if it is sometimes true, and N if is is never true for all cases. 1. Two right triangles are similar. 2. The legs of a 45°- 45°- 90° Triangle are congruent. 3. The shorter leg of a 30°- 60°- 90° Triangle is half as long of its hypotenuse. 4. If the legs of a right triangle are proportional to the legs of another right triangie then the triangles are similar. 5. The longer leg of a 30°- 60°- 90° Triangle is twice as long of its hypotenuse. 6. Two right triangles are congruent. 7. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is right. 8. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is obtuse. 9. If the lengths of the sides of a right triangle are 3,4, and 5, then the triangle is obtuse. 10. If the lengths of the sides of a right triangle are 4, 5 and 7 , then the triangle is acute.
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