Explain why the triangles are similar. Then find the missing length, x. 4 in. 21 in. 7 in. ..... Choose the reason that the triangles are similar. O A. Both triangles are right and scalene. O B. The Pythagorean theorem states that a +b = c. Thus, the corresponding sides are proportional. C. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle. D. All right triangles 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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8 10.2

Explain why the triangles are similar. Then find the missing length, x.
4 in.
21 in.
7 in.
.....
Choose the reason that the triangles are similar.
A. Both triangles are right and scalene.
В.
The Pythagorean theorem states that a + b =c. Thus, the corresponding sides are proportional.
C. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the
large triangle are equal in measure to two angles of the small triangle.
D. All right triangles are similar.
Transcribed Image Text:Explain why the triangles are similar. Then find the missing length, x. 4 in. 21 in. 7 in. ..... Choose the reason that the triangles are similar. A. Both triangles are right and scalene. В. The Pythagorean theorem states that a + b =c. Thus, the corresponding sides are proportional. C. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle. D. All right triangles are similar.
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