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Mrs. Rivas
International Studies Charter
School.
HomeworkWorksheet Practice 7-1 to 7-5
Section 7-1Algebra Solve each proportion.
1.
ππ (π π+π)=ππππππ+ππ=πππ
ππ=π ππ=π
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-1
Algebra Solve each proportion.
2.
π(π+π)=π(ππ)ππ+π=πππ
ππ=ππππ=ππ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
List the pairs of congruent angles and determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain.
3.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
List the pairs of congruent angles and determine whether the polygons are similar. If so, write a similarity statement and give the scale factor. If not, explain.
4.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
Algebra Find the value of y. Give the scale factor of the polygons.
5. ABCD ~ TSVU ππ βπ .ππ π+π
=ππππ .π
ππ .π(π π βπ .π)=ππ(ππ+π)
ππ .π πβππ .ππ=ππ π+πππ
ππ .π πβππ .ππ=πππ
ππ .π π=πππ .ππ
π=π .π
Scale Factor
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.
6. the scale factor of PRQ to DEF
Scale Factor
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.
7.
ππΒ°
ππΒ°
ππΒ° ππΒ°
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.8.
ππΒ°
ππΒ°
ππΒ° ππΒ°
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.9.
ππΒ°
ππΒ°
ππΒ° ππΒ°
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.
10.
πππ
=ππππ
π
πππ=ππ βππ
πππ=ππππ=ππ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-2
In the diagram below, PRQ ~ DEF. Find each of the following.11.
πππ
=ππππ
π
πππ=ππ βππ
πππ=ππππ=ππ .π
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-3
Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.12.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-3
Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.13.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-3
Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.14.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-3
Determine whether the triangles are similar. If so, write a similarity statement and name the postulate or theorem you used. If not, explain.15.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-3
16. A stick 2 m long is placed vertically at point B. The top of the stick is in line with the top of a tree as seen from point A, which is 3 m from the stick and 30 m from the tree. How tall is the tree?
F: G:
Height of the tree.
Height of stick 2 mBase of stickβs 3 mBase of Treeβs 30 m
H: StickH: Tree = B: Stick
B: Tree2 mTree = 3 m
30 m 2 Γ 30 Γ· 3 = 20 m
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Use the figure at the right to complete each proportion.
17. 18.
19. 20.
21. 22.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
23.
aGM
=b
GM
ππ
=π
π+π
ππ=ππ
π=βππ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
23.
aGM
=b
GM
ππ
=π
π+π
ππ=ππ
π=βππ ΒΏβπ βπ βπ βπ π=πβππ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
24.
ππ
=π
π+π
ππ=πππ=βππ ΒΏβπ βπ βπ βπ βππ=π βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM24.
ππ
=π
π+π
ππ=πππ=βππ π=π βπ
ππ
=ππ
ππ=πππ=βππ π=πβπ
ΒΏβπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM25.
πππ
=πππ
π π=πππ
π=ππ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
26.
ππ
=π
π+ππ
ππ=ππππ=βπππ π=πβππ
ΒΏβπ βπ βπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
26.
ππ
=π
π+ππ
ππ=ππππ=βπππ π=πβππ
ππ
=πππ
ππ=πππ=βππ π=πβππ
ΒΏβπ βπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
27.
πππ
=π
ππ+π
ππ=ππππ=βπππ π=πβπ
ΒΏβπ βπ βπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM27.
πππ
=π
ππ+π
ππ=ππππ=βπππ π=πβπ
ππ
=π
π+ππππ=ππ
π=βππ π=πβπ
ΒΏβπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
27.
πππ
=π
ππ+π
ππ=ππππ=βπππ π=πβπ
ππ
=π
π+ππππ=ππ
π=βππ π=πβπ
ππ
=πππ
ππ=πππ=βππ π=π
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM
28.
πππ
=πππ+π
π (π+π )=πππππ+π π=πππ
π π=πππ=π
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM= 10
28.
πππ
=πππ+π
π (π+π )=πππππ+π π=πππ
π π=πππ=π
ππ
=πππ
ππ=πππ=βππ π=πβπ
ΒΏβπ βπ βπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-4
Algebra Solve for the value of the variables in each right triangle.
aGM
=b
GM= 10
28.
πππ
=πππ+π
π (π+π )=πππππ+π π=πππ
π π=πππ=π
ππ
=πππ
ππ=πππ=βππ π=πβπ
πππ
=πππ
ππ=ππππ=βπππ π=πβπ
ΒΏβπ βπ βπ βπ βπ
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
12 β x
x + 3 = 6
4
4(12 β x) = 6(x + 3)
48 β 4x = 6x + 18 30 β 4x = 6x
30 = 10x3 = x
29.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
12
3 = 2x β
3 x β 5
3(2x β 3) = 12(x - 5)
6x β 9 = 12x - 60
6x = 12x - 51
-6x = -51
8.5 = x
30.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
x + 4
4x + 1
= 8
20
20(x + 4) = 8(4x + 1) 20x + 80 = 32x + 8 20x + 72 = 32x
72 = 12x6 = x
31.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
20
4=16
x
4(16) = 20(x)
3.2 = x
64 = 20x
32.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
20
8=35 - x
x
20x = 8(35 β x)
10 = x
20x = 280 β 8x
28x = 280
33.
35 - x
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
12
20= x
40 β x
20x = 12(40 β x)
15 = x
20x = 480 β 12x
32x = 480
34.
40 - x
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
21
x= 15
12
21(12) = 15(x)
16.8 = x
252 = 15x
35.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
xx + 4
= 3x + 2
3(x + 4) = x(x + 2)
3x + 12 = xΒ² + 2x 12 = xΒ² - x
0 = xΒ² - x - 12
X = 4
(x + 3)(x β 4) = 0x + 3 = 0 x β 4 = 0
x = -3
36.
Mrs. Rivas
International Studies Charter
School.
HomeworkSection 7-5
Algebra Solve for x.
1510
= 18 - xx
10(18 - x) = 15(x)
7.2 = x
180 β 10x = 15x 180 =
25x
37.
