Vocabulary
Section 7-1 Ratios & Proportions
7-2 Similar Polygons
7-3 Proving Triangles Similar
7-5 Proportions in Triangles
7-6 Scale Models and Drawings
100
The comparison of two quantities by division.
Ratio
100
Solve the proportion.
x/7=18/21
x = 6
100
Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain.
Not Similar, sides aren't proportional
100
Are these triangles similar by AA Similarity? Explain.
Yes since angle P is congruent to angle L and angle PMN is congruent to angle KML, then the triangles are similar by AA similarity.
100
Create 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
An equation that states two ratios are equal.
Proportion
200
Solve the proportion.
8/(x+9)=2/(x-3)
x = 7
200
Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain.
The polygons are similar.
CDEF ~ QRST
Scale Factor: 1:2
200
Determine whether the triangles are similar. If so, name the postulate you used. If not, explain.
Similar by SAS~
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
The two main characteristics of similar figures.
1) Congruent Angles
2) Proportional Sides
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
In the above picture, side AC corresponds to what side in triangle XYZ?
Side ZX or Side XZ
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
What is the difference between similar polygons and congruent polygons?
Similar polygons have congruent corresponding angles but proportional sides.
Congruent polygons have congruent corresponding angles and sides.
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
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 three postulates used to prove two triangles are Similar.
1) AA~
2) SAS~
3) SSS~
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
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