Solve the proportion.
x/7=18/21
x = 6
Name each triangle.
Remember each triangle is named by its side length and angle measures.
Right scalene
right scalene
Supplementary angles add up to__________ degrees.
Complementary angles add up to ________ degrees.
A straight line is ________ degrees.
90
180
180
Write a proportion to solve for x. You do NOT need to solve the proportion.
Multiple answers
A model boat is 4 inches long. The scale factor is 1in to 24 in. How long is the actual boat?
96 inches
Solve the proportion.
8/(x+9)=2/(x-3)
x = 7
Determine whether the polygons are similar by setting up ratios for corresponding sides. Reduce and determine if they are equivalent.
Yes, they are similar
Vertical angles are opposite and _________.
_________ angles are next to each other.
1. congruent
2. adjacent
Find the length of side JK:
JK = 7.5 in.
What is the scale if for every 1 cm on a map, there is really 5 meters of road?
What is 1 to 5?
A cell phone is 84 mm long and 46 mm wide.
What is the ratio of the width to the length?
23:42
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
Determine whether the triangles are similar. If so, name the postulate you used. If not, explain.
Similar by SSS~
Solve for x.
3.2
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?
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
The polygons are similar. Find the value of each variable.
x = 6
y = 8
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
The two triangles shown above are similar. Find the length of QR.
x = 8, so QR = 42
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
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
The polygons are similar. Find the value of each variable.
a = 7.2
b = 6
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
Solve for x.
6
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