Section 7-1 Ratios & Proportions
7-2 Similar Polygons
Vertical, Adjacent, Complementary, and Supplementary
7-5 Proportions in Triangles
7-6 Scale Models and Drawings
100
Solve the proportion.
x/7=18/21
x = 6
100
Name each triangle.
Remember each triangle is named by its side length and angle measures.
Right scalene
right scalene
100
Supplementary angles add up to__________ degrees.
Complementary angles add up to ________ degrees.
A straight line is ________ degrees.
90
180
180
100
Write a proportion to solve for x. You do NOT need to solve the proportion.
Multiple answers
100
A model boat is 4 inches long. The scale factor is 1in to 24 in. How long is the actual boat?
96 inches
200
Solve the proportion.
8/(x+9)=2/(x-3)
x = 7
200
Determine whether the polygons are similar by setting up ratios for corresponding sides. Reduce and determine if they are equivalent.
Yes, they are similar
200
Vertical angles are opposite and _________.
_________ angles are next to each other.
1. congruent
2. adjacent
200
Find the length of side JK:
JK = 7.5 in.
200
What is the scale if for every 1 cm on a map, there is really 5 meters of road?
What is 1 to 5?
300
A cell phone is 84 mm long and 46 mm wide.
What is the ratio of the width to the length?
23:42
300
The number 5 is blue. The number 4 is green. The number 1 is red. The number 9 is pink. What color is the number 3?
Acceptable Answers:
cyan
yellow
300
Determine whether the triangles are similar. If so, name the postulate you used. If not, explain.
Similar by SSS~
300
Solve for x.
3.2
300
Mike built a model of a 40-ft building using a scale of 2 cm = 5 ft. What is the height of the model?
What is 16 cm?
400
A high school has 16 math teachers for 1856 math students.
What is the ratio of math teachers to students?
1:116
or
1/116
400
The polygons are similar. Find the value of each variable.
x = 6
y = 8
400
Two angles are supplementary. The first is 2x-5 and the second is 71. Find x and find the measure of the first angle.
38
76 degrees
400
The two triangles shown above are similar. Find the length of QR.
x = 8, so QR = 42
400
A map of Texas has a scale of 1 in:65 mi. The distance from Dallas to San Antonio is 260 mi. What is the distance in inches between these two cities on the map?
4 in
500
The measures of the angles of a triangle are in the extended ratio of 4:3:2.
What is the measure of the largest angle?
80 Degrees
500
The polygons are similar. Find the value of each variable.
a = 7.2
b = 6
500
1.Two angles are opposite and congruent. Name that type of angle.
2. The two measurements for those angles are 3x-9 and 105. Find x.
1. Vertical angles
2. x = 32
500
Solve for x.
6
500
Hot Wheels are created on a scale factor of 1:64. If a Dodge Ram is 204 inches long, how many inches will the toy car be?
3.1875