Read each statement and decide whether it is ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE. 1. Right triangles are similar. 2. Two squares of side 4 cm and 5 cm are congruent. 3. If two quadrilaterals have angles all equal to 90°, then they are similar.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.3: Proving Triangles Similar
Problem 3E: Classify as true or false: a If the vertex angles of two isosceles triangles are congruent, the...
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C. AMI TRUE? Read each statement and decide whether it is ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE.
1. Right triangles are similar.
Two squares of side 4 cm and 5 cm are congruent.
2.
If two quadrilaterals have angles all equal to 90°, then they are similar.
4. Equiangular triangles are similar.
5. Isosceles right triangles are similar.
6. If two triangles are similar, their perimeters have the same ratio as that of the ratio of their
corresponding sides.
7. The equality of two ratios is called proportion.
In a proportion, the product of the means is equal to the product of the extremes.
3.
8.
Two regular polygons are similar.
10. Two isosceles right triangles whose longest sides measure 5 cm and 5 in are congruent.
Transcribed Image Text:C. AMI TRUE? Read each statement and decide whether it is ALWAYS TRUE, SOMETIMES TRUE or NEVER TRUE. 1. Right triangles are similar. Two squares of side 4 cm and 5 cm are congruent. 2. If two quadrilaterals have angles all equal to 90°, then they are similar. 4. Equiangular triangles are similar. 5. Isosceles right triangles are similar. 6. If two triangles are similar, their perimeters have the same ratio as that of the ratio of their corresponding sides. 7. The equality of two ratios is called proportion. In a proportion, the product of the means is equal to the product of the extremes. 3. 8. Two regular polygons are similar. 10. Two isosceles right triangles whose longest sides measure 5 cm and 5 in are congruent.
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