Ratios
Proportions
Similar Polygons
Similar Triangles
Parallel Lines and Proportional Parts
100
Write the following as a ratio (Fraction Form) and simplify:
3 apples to 9 Bananas
1/3
100
y = 15/8
or 1.875
100
List all pairs of congruent angles, and write a proportion of statement of similarity.
a congruent to z
b congruent to y
c congruent to x
AC/ZX = BC/YX = AB/ZY
100
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
Yes, YXZ ~ VWZ by AA similarity.
100
XY = 10
200
Write and simplify the following ratio:
16 watermelons to 22 cantaloupes
8/11
200
w = 3.2
200
Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor.
No
200
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
Yes, BAC ~ DFE by SAS Similarity.
200
NZ = 24
300
A model car is in a ratio of 5 inches: 30 feet. If the actual car is 65 feet, how many inches is it's model car?
10.83 inches
300
x = 8
300
Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor.
Yes ABC ~ HFJ since angle a is congruent to angle H, and angle B is congruent to angle f, and angle c is congruent to angle j. Scale factor: 2
300
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
Yes, JLK ~ SRQ by SSS Similarity.
300
no
26/50=33.5/65
26*65=50*33.5
1690=1675
400
The ratio of the measures of the angles of a triangle is 1:5:6. Find the measure of each angle.
15 degrees
75 degrees
90 degrees
400
a = 10
400
x = 16
400
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
No, corresponding sides are not proportional.
400
2/x=2.5/10.5
2.5x=21
x=8.4
500
The ratio of the measures of the sides of a triangle is 2:3:4, and the perimeter is 102 inches. Find the measure of the longest side.
45.3 inches
500
x = 5
500
x = 6
500
Determine whether the triangles are similar. If so, write a similarity statement. Explain your reasoning.
No, not enough information is given to form a conclusion.
500
Find the distance between 1st and 2nd street along Pike Ave.
160/40=300/x
160x=300*40
160x=12000
x=75ft