91Ó°ÊÓ

What is the acronym that is used to represent the statement "Corresponding angles of similar triangles are congruent?"

a) Are any two regular pentagons similar? b) Are any two equiangular pentagons similar?

a) Are any two equilateral hexagons similar? b) Are any two regular hexagons similar?

Each side of a rhombus measures 12 in. If one diagonal is 18 in. long, how long is the other diagonal?

\(\triangle A D E \sim \triangle A B C\) Quadrilateral \(M N P Q \sim\) quadrilateral \(W X Y Z\) (not shown), \(P Q=5,\) and \(Y Z=7 .\) If the longest side of \(M N P Q\) is of length \(8,\) find the length of the longest side of \(W X Y Z.\)

A technical drawing shows the \(3 \frac{1}{2}-\) ft lengths of the legs of a baby's swing by line segments 3 in. long. If the diagram should indicate the legs are \(2 \frac{1}{2}\) ft apart at the base, what length represents this distance on the diagram?

While admiring a rather tall tree, Fred notes that the shadow of his 6 -ft frame has a length of 3 paces. On the level ground, he walks off the complete shadow of the tree in 37 paces. How tall is the tree?

Find the length of the altitude to the 26 -in. side of a triangle whose sides are \(10,24,\) and 26 inches in length.

On a blueprint, a 1 -in. scale corresponds to 3 ft. To show a room with actual dimensions 12 ft wide by 14 ft long, what dimensions should be shown on the blueprint?