Exam 9: An Introduction to Geometry

In the figure below, $l _ { 1 }$  is parallel with $l _ { 2 }$ . Find x , if $a = 5$ , $b = 4$  and $c = 17$ .

Find the area of the shaded part of the figure if $a = 5$ , $b = 3$ .

Find the area of the shaded part of the figure if a = 6, b = 8, c = 4, d = 4.

Name the vertex and the sides of ∠ ABC .

The angles of the triangles shown in the illustration are  $a = 60 ^ { \circ }$ , $b = 60 ^ { \circ }$ . The triangles are congruent because of what property?

A horse trots in a perfect circle around its trainer at the end of a 18-foot-long rope. How far does the horse travel as it circles the trainer once?

Estimate the area of the sail on the windsurfing board. __________ $\mathrm { ft } ^ { 2 }$

Fill in the blanks. The ________ AB , written as $\overline { A B }$ , is the part of a line that consists of points A and B and all points in between. A _______ is the part of a line that begins at some point (say, A ) and continues forever in one direction.

What are two lines which intersect and form right angles called?

Refer to trapezoid MNOP show below. Find x .

Use the protractor to find the measure of ? GQC .

In the figure below, $l _ { 1 }$ is parallel with  $l _ { 2 }$  and $l _ { 2 }$ is parallel with  $l _ { 3 }$ . What can you conclude about $l _ { 3 }$  and $l _ { 1 }$ ? They are __________.

What size is the television screen shown in the illustration? Find d if $a = 20$ in. and $b = 15$ in.. Please round the answer to the nearest tenth. __________ in.

Look at the illustration and match each angle with its type. $\angle 1 = 54 ^ { \circ }$   and $\angle 2 = 36 ^ { \circ }$ . -straight

Find the area of a regular hexagon whose sides measure 6 inches each.

Refer to the figure. Which of the following choices are interior angles?

A man places a mirror on the ground and sees the reflection of the top of a building, as shown in the illustration. $b = 36$ , $c = 252$ , and $h = 28$ .

In the figure below, $a = 51$ . How many degrees from the horizontal position are the wings of the airplane?

Refer to the rectangle ABCD , shown below, where $m ( \angle 4 ) = 18 ^ { \circ }$ .

In the figure below, angle $a = 34 ^ { \circ }$ and angle $b = 68 ^ { \circ }$ . What is the measure of angle x ?