Post on 09-Jun-2015
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Righttriangle
similarity
Proportionsin
triangles
Ratios andsimilarfigures
Proving triangles similar
Similar figures
Proportions
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Solve the proportion.
x
6
6
5
2.7 ,5
17 ,
5
36x
Solve the proportion.
32.7
53
x
9x
Solve the proportion.
5
2
6
7
xx
47x
Solve the proportion.
5
1253
y
y
3.8 ,3
18 ,
3
25x
Solve the proportion.
1
109
x
x
x
x
5.4x
The figures are similar. Find the value of the variable.
16x
The figures are similar. Give the similarity ratio.
5
7or
7
5x
The figures are similar. Write a similarity statement.
FEDABC ~
The figures are similar. Find the value of the variables.
10
8
6
z
y
x
A map has dimensions 9 in. by 15 in. You want to reduce the map so that it will fit on a 4 in. by 6 in.
index card. What are the dimensions of the largest
possible complete map you can fit on the index card?
in. 6by in. 6.3
Are the two triangles similar? If yes, justify your answer.
Yes. AA Sim.
Are the two triangles similar? If yes, justify your answer.
Yes. SAS Sim.
Are the two triangles similar? If yes, justify your answer.
Yes. SSS Sim.
Are the two triangles similar? If yes, justify your answer.
No. Not enough information
Are the two triangles similar? If yes, justify your answer.
No!
3222
4530
6040
Find the geometric mean between 5 and
125.
25
Find the value of the variable.
9
Complete the proportion.
cb
s
b
Find the value of the variables.
10.6or 74or 112
9.7or 73or 63
12
z
y
x
Complete the similarity statement.
KNL; JNK
Complete the proportion.
cb
a
fe
d
Find the value of the variable.
35
Find the value of the variable.
8
Find the value of the variable.
9.6
Complete the proportion.
QT
PT
KQ
KP
For the similar figures, determine the ratios of their perimeters and
their areas.
25
9
5
3perimeter area
Find the similarity ratio for two figures with areas 10 yd2 and 360 yds2.
6
1
For the similar figures, find the area of the larger figure to the
nearest whole number.
386 cm2
For the similar figures, if the perimeter of the smaller figure is 12.8
cm, find the perimeter of the larger figure.
32
For the two similar right triangles, find the lengths of the sides of the smaller triangle if the area of the
smaller triangle is 27 in2.
y
x
24
16
9
6
y
x