Exam 6: Similar Triangles

In rectangle ABCD , , , and . Find the value of x .

The figure shows right triangle ABC with . Also, . Where , , , , and , what reason allows you to conclude that ?

Which type of triangle has sides of lengths a = 8, b = 15, and c = 17?

For , intersects sides and so that . If and , what is the constant of proportionality k for the extended proportion ?

In , , , and . Considering sides and angles, what classification(s)of triangle are appropriate for ?

In the figure, a bird (at point B)is 36 feet above the ground. Meg is 60 feet from the bird while Mara is 39 feet from the bird. How far apart are Meg and Mara?

For two isosceles triangles, the vertex angles are congruent. How are the two triangles related?

. If , , , and , find DF .

If , then .

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

In , one side has the length 5 inches and another side has length 12 inches. Find all possible lengths of the third side so that the triangle is a right triangle.

In the figure, bisects of . If , , and , find WZ .

The measures of two supplementary angles are in the ratio 2:3. Find the measure of the larger angle.

Given that , , , and , find PQ .

The measures of the three interior angles of are in the ratio 2:3:7. What type of triangle is ?

In the figure, . If and , find the value of x .

Given that (8,15,17)is a Pythagorean Triple, it follows that (24,45,c)is also a Pythagorean Triple. What is the value of c?

Which statement is true?

The owner and a partner in a small business share profits in the ratio 2:1. For a month in which the business realizes a profit of $15,600. what is the owner's share of the profit?

Given that , it follows that .