Donna Kirk

Chapter Test

Use the given figure for the following exercises.

A line with four points, A, B, C, and D marked on it.

1 .

Find

\overleftrightarrow {AD} \cap \overline {CD}

.

2 .

Find

{\overline {AB}} \cup {\overline {BC}}

.

3 .

Use the given figure to find the angle measurements.
A horizontal line with two rays originating from its center. The first ray makes an angle, 9 x minus 6 degrees with the horizontal line. The angle formed between the two rays is labeled 8 x plus 3 degrees. The second ray makes an angle, 28 x plus 3 degrees with the horizontal line.

A horizontal line with two rays originating from its center. The first ray makes an angle, 9 x minus 6 degrees with the horizontal line. The angle formed between the two rays is labeled 8 x plus 3 degrees. The second ray makes an angle, 28 x plus 3 degrees with the horizontal line.

4 .

Given that

{l_1}

and

{l_2}

are parallel lines, solve the angle measurements for all the angles in the given figure.
Two lines, l subscript 1 and l subscript 2 are intersected by a transversal. The transversal makes four angles labeled 1, 2, 3, and 150 degrees with the line, l subscript 1. The transversal makes four angles numbered 5, 6, 7, and 8 with the line, l subscript 2. 1, 2, 7, and 8 are exterior angles. 3, 150 degrees, 5, and 6 are interior angles.

Two lines, l subscript 1 and l subscript 2 are intersected by a transversal. The transversal makes four angles labeled 1, 2, 3, and 150 degrees with the line, l subscript 1. The transversal makes four angles numbered 5, 6, 7, and 8 with the line, l subscript 2. 1, 2, 7, and 8 are exterior angles. 3, 150 degrees, 5, and 6 are interior angles.

5 .

Find the angle measurements in the given figure.
A horizontal ray and a vertical ray are forming a right angle. Two rays originate from the intersection of the horizontal and vertical rays. The first ray makes an angle, 7 x plus 3 degrees with the horizontal ray. The angle formed between the two rays is labeled 3 x plus 4 degrees. The second ray makes an angle, 6 x plus 3 degrees with the vertical ray.

A horizontal ray and a vertical ray are forming a right angle. Two rays originate from the intersection of the horizontal and vertical rays. The first ray makes an angle, 7 x plus 3 degrees with the horizontal ray. The angle formed between the two rays is labeled 3 x plus 4 degrees. The second ray makes an angle, 6 x plus 3 degrees with the vertical ray.

6 .

The two triangles shown are congruent by what theorem?
Two right triangles. The vertical legs in both triangles are of equal length. One of the angles in the first triangle is congruent with an angle in the second triangle.

Two right triangles. The vertical legs in both triangles are of equal length. One of the angles in the first triangle is congruent with an angle in the second triangle.

7 .

Find the sum of the interior angles of a regular heptagon.

8 .

Determine the scaling factor between these two similar triangles.
Two right triangles. In the first triangle, the legs measure 3.5 centimeters and 7 centimeters. The hypotenuse measures 8 centimeters. In the second triangle, the legs measure y centimeters and 2.18 centimeters. The hypotenuse measures 5 centimeters.

Two right triangles. In the first triangle, the legs measure 3.5 centimeters and 7 centimeters. The hypotenuse measures 8 centimeters. In the second triangle, the legs measure y centimeters and 2.18 centimeters. The hypotenuse measures 5 centimeters.

9 .

Find the measure of the missing angles in the figure shown.
A triangle with two equal sides. The angles are marked 25 degrees, x, and y.

10 .

Calculate the perimeter of a regular octagon with a side length of 5 cm.

11 .

Find the measurement of an interior angle of a regular heptagon.

12 .

Find the sum of the interior angles of a regular pentagon.

13 .

Find the measure of an exterior angle of a regular pentagon.

14 .

Find the circumference of the circle with a radius of 3.5 cm.

15 .

What are the four transformations that are used to produce tessellations?

16 .

Find the surface area of the triangular prism shown.
A right triangular prism. The legs of the triangle measure 5.2 inches and 6 inches. The hypotenuse measures 7.9 inches. The length of the prism is 10 inches.

A right triangular prism. The legs of the triangle measure 5.2 inches and 6 inches. The hypotenuse measures 7.9 inches. The length of the prism is 10 inches.

17 .

Find the volume of the right cylinder in the given figure.
A cylinder with its radius and height marked 2.5 centimeters and 14 centimeters.

18 .

Find the missing length in the given figure.
A right triangle. The legs are marked 5 centimeters and x. The hypotenuse is marked 6 centimeters.

19 .

Find the missing length in the given figure.
A right triangle. The vertical leg measures 10 inches and the hypotenuse measures x. The angle made by the horizontal leg and hypotenuse is marked 45 degrees.

A right triangle. The vertical leg measures 10 inches and the hypotenuse measures x. The angle made by the horizontal leg and hypotenuse is marked 45 degrees.

20 .

Find the length of side

b

in the given figure.
A right triangle. The vertical leg measures b and the hypotenuse measures 14.8 inches. The angle made by the horizontal leg and hypotenuse is marked 24 degrees.

A right triangle. The vertical leg measures b and the hypotenuse measures 14.8 inches. The angle made by the horizontal leg and hypotenuse is marked 24 degrees.

21 .

Find the length of side

a

in the given figure.
A right triangle. The vertical leg measures a and the hypotenuse measures 10 centimeters. The angle made by the horizontal leg and hypotenuse is marked 30 degrees.

A right triangle. The vertical leg measures a and the hypotenuse measures 10 centimeters. The angle made by the horizontal leg and hypotenuse is marked 30 degrees.

22 .

Find the measure of

\theta

in the given figure.
A right triangle. The horizontal leg measures 3 and the hypotenuse measures 7.62. The angle made by the horizontal leg and hypotenuse is marked theta.

A right triangle. The horizontal leg measures 3 and the hypotenuse measures 7.62. The angle made by the horizontal leg and hypotenuse is marked theta.