Ratios & Proportions
Similar Polygons
Proving Triangles Similar
Proportions in Triangles
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
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.
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
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
500
The measures of the angles of a triangle are in the 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