Chapter 11 Basic Geometry Homework Name___________________________________
You may use a calculator.
Sketch and label.
1) Acute 2ABC
Find the square root.
2)
For #3 and #4, find the measure of the requested angle.
3) Find the complement of 41°.
4) What is the measure of the angle that is supplementary to 119°?
In a right triangle, find the length of the side not given. Let c represent the length of the hypotenuse. Use correct units in your answer.
5) a = 7 in., b = 24 in.
For #6 – #9, find the perimeter and area. Use correct units in your answers.
6) A square with side 1.5 in.
7) An equilateral triangle with side 25 ft
8)
10 m
24 m
9) The sides are each 3.6 feet in length.
8 ft
10) Find the area and circumference. Use correct units in your answers. Use Use u = 3.14 to approximate pi.
11) Find the perimeter. Use correct units in your answer.
9 in.
4 in.
5 in.
7 in.
8 in.
For #12 – #13, find the volume. Use u = 3.14 when needed. Use correct units in your answers.
12)
7.5 cm
6.8 cm
4.5 cm
13)
r = 36
For #14 and #15, find the unknown values for side lengths or angle measurements. Use correct units in your answers.
14)
35°
15)
6 cm c
8 cm
The two triangles below are similar. Find x and y.
16)
17) The picture shows the intersection of several streets in a city. Is the angle formed by E Post Street and Sampson Street below Post Street acute or obtuse?
For #18 – #20, solve. Use u = 3.14 when necessary.
18) A water sprinkler sends water out in a circular pattern. The radius of watering is 6 feet. Determine how large an area is watered. Write your answer in complete sentence form and include correct units.
19) An airplane flying due south is 300 miles from the airport. Another airplane flying due west is 325 miles from the airport. How far apart are the two airplanes? Round to the nearest mile. Write your answer in complete sentence form and include correct units.
20)
A one- story building is 400 ft by 320 ft. If a square patio with sides 29 ft occupies the center of the building, how much area remains for offices? Write your answer in complete sentence form and include correct units.
