Exam 6: Similar Triangles

In a 30°-60°-90° right triangle with hypotenuse of length 12 inches, the shorter leg measures 6 inches.

In a 45°-45°-90° triangle, the length of a leg is the number a. What expression represents the length of the hypotenuse of this triangle?

Suppose that you have proved that and , in turn, that . What reason would you use to further conclude that ?

In the proportion , the number b is known as the geometric mean for a and c .

In the figure, . What reason allows you to conclude that ?

The triple (13,15,18)is a Pythagorean Triple.

In the figure, . If , , and , find VZ .

If bisects , then .

Where , , and , determine the Pythagorean Triple generated by and .

Given that , CSSTP leads to the extended proportion .

In , and the length of the hypotenuse is 10. If one leg is twice as long as the other leg, find the length of the shorter leg. Express answer as a simplified square root.

In , and . If the length of is represented by 2 a , find an expression for the length of .

The most simplified form of the extended ratio 30° : 60° : 90° is 15 : 30 : 45.

In , bisects . If , , and , find XW .

In the proportion , which numbers are the means?

What is the name of this property? If , then .

Write the acronym (the abbreviated form)for the statement, "Corresponding sides of similar triangles are proportional."

Each side of square MNPQ measures 8 inches. When the midpoints of the sides of the square are joined in order, quadrilateral HJKL is formed. What is the perimeter of HJKL?

Given that and , which method justifies that ?

The notation SAS is used to prove that two triangles are congruent.