Cumulative Exam — Cumulative exam Answers

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.What is the height of the cylinder?

A line segment has endpoints at (3, 2) and (2, –3). Which reflection will produce an image with endpoints at (3, –2) and (2, 3)?

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

An oblique prism has trapezoidal bases and a vertical height of 10 units.

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has verticesR'(0, –2), S'(0, –4), and T'(–3, –1). Which rule describes the transformation?

Rectangle ABCD was dilated to create rectangle A'B'C'D.

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

The area of the regular octagon is 10.15 cm2.

Which shows the pre-image of triangle X'Y'Z' before the figure was rotated 90° about the origin?

A solid piece of wood shaped as a cylinder with an 8-centimeter diameter is cut as shown.

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

Ricardo has a square hot tub. He wants to build a square pool next to it that is a dilation of the hot tub using a scale factor of 5.

Triangle FGH is an equilateral triangle with sides measuring units.

On a coordinate plane, 3 triangles are shown. Triangle A B C has points (5, 2), (2, 4), (2, 1). Triangle A prime B prime C prime has points (negative 2, 5), (negative 4, 2), (negative 1, 2). Triangle A double-prime B double-prime C double-prime has points (negative 2, negative 5), (negative 4, negative 2), (negative 1, negative 2).

In the triangle below, represents which ratio?

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?