10.10.7: Chapter Test

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Chapter Test

Use the given figure for the following exercises.

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

Find /**/\overleftrightarrow {AD} \cap \overline {CD}/**/.

Find /**/{\overline {AB}} \cup {\overline {BC}}/**/.

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

Given that /**/{l_1}/**/ and /**/{l_2}/**/ are parallel lines, solve the angle measurements for all the angles in the given figure.
$Two lines, l subscript 1 and l subscript 2 are intersected by a transversal. The transversal makes four angles labeled 1, 2, 3, and 150 degrees with the line, l subscript 1. The transversal makes four angles numbered 5, 6, 7, and 8 with the line, l subscript 2. 1, 2, 7, and 8 are exterior angles. 3, 150 degrees, 5, and 6 are interior angles.$

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

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

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

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

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

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

20.

Find the length of side /**/b/**/ in the given figure.
$A right triangle. The vertical leg measures b and the hypotenuse measures 14.8 inches. The angle made by the horizontal leg and hypotenuse is marked 24 degrees.$

21.

Find the length of side /**/a/**/ in the given figure.
$A right triangle. The vertical leg measures a and the hypotenuse measures 10 centimeters. The angle made by the horizontal leg and hypotenuse is marked 30 degrees.$

22.

Find the measure of /**/\theta/**/ in the given figure.
$A right triangle. The horizontal leg measures 3 and the hypotenuse measures 7.62. The angle made by the horizontal leg and hypotenuse is marked theta.$

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Chapter Test