Unit Test — Cumulative exam Answers

Triangle R S T is shown. Angle T R S is a right angle. The length of R T is 5, the length of R S is 12, and the length of hypotenuse S T is 13.

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.Which circle could represent the base of the vase? Use 3.14 for .

A solid right pyramid has a square base with an edge length of s units and a height of h units.

Circle Y is shown. Line segments X Y and Z Y are radii. The length of X Y is 16. Sector X Y Z of the minor angle is shaded.

On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1).

Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x.

A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

Triangle X Y Z is reflected over its hypotenuse to form kite X Y Z Y prime. Hypotenuse X Z has a length of 13, X Y is 5, and Y Z is 12.

On a coordinate plane, rhombus W X Y Z has points (negative 3, 1), (1, 4), (5, 1), and (1, negative 2).

is tangent to circle P at point Q.

What is the center of a circle represented by the equation (x+9)2+(y−6)2=102?

Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees.

Arc QVT measures 156°.

Triangle QRS is transformed as shown on the graph.

Galina is finding the area of triangle RST. To do so, she follows the steps in the table.Step 1Draw a rectangle around triangle RST.Step 2Find the area of the rectangle.Step 3Find the area of the three right triangles created by the sides of the rectangle and the intersection with each vertex of the triangle.Step 4Subtract the area of the right triangles from the area of the rectangle.

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

Polygon LMNOP was transformed to create polygon L'M'N'O'P'.

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.

Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches.