Geometry
Unit 7 Day 5
Name _________________
WARM UP
Date _______________
1. Identify the three similar right triangles in the given diagram.
2.
Solve for the missing variable. Give your answer in simplest radical form.
3.
Solve for the missing variable. Give your answer in simplest radical form.
4.
Solve for the value of x in the triangle.
5. Solve for the value of x and y in the triangle.
REVIEW NOTES: Today we will review similar right triangles and special right triangles, and
at the end of class today, you will be able to demonstrate understanding on the quiz
PRACTICE
1. The baselines of a baseball field form a square. The distance from home plate to first is 90 feet.
a. Write the equation to find the distance from home plate to second base.
b. Write the equation to find the distance from third base to first.
c. The pitcher’s mound is 60 feet 6 inches from home plate. Is it the midpoint of the diagonal from
home plate to second base? If not, what is the midpoint?
2. You are replacing the roof on the house shown. You are purchasing packages of shingles which cover
a given amount of square feet. So, you want to know the total area of the roof. The roof has a 1 -1
pitch on both sides, which means that it slopes upward at a rate of 1 vertical unit for each 1
horizontal unit.
a. Find the values of “x” and “y “ in the diagram.
b.
Also find the total area of the roof to the nearest square foot.
3.
You are using wood to build a pyramid-shaped skateboard ramp.
You want each ramp surface to incline at an angle of 300 and the
maximum height to be 56 centimeters as shown.
Use the relationship shown in the diagram to determine the
lengths of “a”, “b”, “c”, and “d” to the nearest centimeter.
Solve for x and y. Leave answers in simplest radical form.
4
4.
5.
x
y
x
4
12
y
5
Find the value of x.
6.
7.
11
x
7
x
5
8
Find the value of each variable.
8.
9.
45
y
8
45
y
x
x
2