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.
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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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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