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WorksheetsTopic 11 Review
Total questions: 192
Worksheet time: 9hrs 12mins
(x, y) ----> (x + 2, y - 3)
(x, y) -----> (x, y +4)
What is the angle of the clockwise rotation?
90°
180°
270°
A counterclockwise rotation of 90° is equivalent to how many degrees of rotation clockwise?
90°
180°
270°
360°
The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)
x = 12
x = 3
x = 40
x = 4
The pair of figures is similar. Set up and solve a proportion to find the missing side length.(x)
x = 20
x = 12
x = 5
x = 4
Set up and solve a proportion to find the height of the tree.
8 ft
12 ft
13 ft
15 ft
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Set up and solve a proportion to find the length of the blueprint.
7 in
9 in
12 in
14 in
Which angle corresponds with angle A?
D
F
C
E
The polygons are similar. Set up and solve a proportion to find the missing side length.(x)
x = 2
x = 6
x = 4
x = 8
Sides that are in the same relative position are called...
Corresponding Sides
Corresponding Angles
The Same
Congruent Sides
A picture of a school’s mascot is 18 in. wide and 24 in. long. It is enlarged proportionally to banner size. If the width is enlarged to 54 in., what is the length of the banner? Write and solve a proportion.
72 in
60 in
62 in
80 in
If ΔABC ≅ ΔXYZ, which statement is always true? (≅means congruent)
AB = YZ
∠C ≅ ∠Z
∠B ≅ ∠C
AC = XY
If ΔDEF ≅ ΔRST, then we can conclude that DE = which side? (≅ means congruent)
ST
RS
DF
RT
EFGH∼MATB
Which angle corresponds to ∠E? (∼means similar)
∠M
∠T
∠B
∠A
What is the similarity statement for the triangle pair? (use the arc marks to help write corresponding parts in the same order)
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
Are the two figures similar? (check all ratios to see if they are equal)
yes
no
The figures are congruent. Name one pair of corresponding angles.
Q and W
R and Z
S and Z
T and P
Tell whether the figures are congruent or not congruent.
Congruent
Not Congruent
Tell whether the figures are congruent or not congruent.
Congruent
Not Congruent
What is Dilation?
Dilation means to enlarge or reduce
Dilation means to reflect on something
Dilation means to like something
Dilation means to make something different by making it smaller
Two objects that are the same shape but not the same size are _______.
Congruent
Vertical
Similar
Complementary
Corresponding angles in similar figures are congruent.
True
False
A(3,3) B(6,6) C(9,3)
Determine the correct algebraic representation of the similar figures
(x, y) -> (.5x, .5y)
(x, y) -> (2x, 2y)
(x, y) -> (x + 2, y + 2)
(x, y) -> (x - .5, y - .5)
Triangle PQR is similar to triangle DEF shown. Which describes the relationship between the corresponding sides of the two triangles?
Jane's garden is a 2 ft x 3 ft rectangle. If she increases it by a scale factor of 3, what is the new area of her garden?
72 squared feet
18 squared feet
36 squared feet
54 squared feet
The scaled on a drawing is 3:1. What does this mean?
The scale drawing is three times the size of the actual object.
The scale drawing is the same size as the actual object.
The scale drawing is one-third the size of the actual object.
The scale drawing is 31 times the size of the actual object.
A bathroom in a new home is 7 feet long. The blueprint of the bathroom is 12 inches long. What is the scale factor for the bathroom?
1/12
1/7
7
12
Eric is building a scale model of a helicopter at 1/72. If the height of the model is 2 (2/3), what is the actual height of the helicopter?
16 feet
27 feet
48 feet
192 feet
The German flag has a height:length ratio of 3:5. If a German flag is 1.75 meters high, what is its length?
2.8 meters
1.09 meters
2.8 meters
2.92 meters
Suppose that triangle JKL is similar to triangle PQR. Which angle correspond with angle L?
angle J
angle K
angle P
angle Q
angle R
Determine the correct algebraic representation of the similar figures shown.
(x, y) -> (2x, 2y)
(x, y) -> (.5x, .5y)
(x, y) -> (x, 2y)
(x, y) -> (.5x, y)
Triangle ABC is dilated to produce triangle A'B'C' with scale factor 3/4 . Which describes the relationship between the two triangles?
Triangle A'B'C' is an enlargement of triangle ABC
Triangle A'B'C' is a reduction of triangle ABC
Triangle A'B'C' is a mirror image of triangle ABC
Given that triangle ABC is similar to triangle ADE with AB = 2 cm, BD = 3 cm, and DE = 10 cm. What is the length of side length BC?
6.67 cm
5 cm
4 cm
6 cm
Which must be true of a scale factor of a dilation if the image is smaller that the pre-image?
The scale factor is positive
The scale factor is greater than 1
The scale factor is between 0 and 1
The scale factor is negative
Which set of angle measures could be the interior angles of a triangle?
25°, 30°, 35°
35°, 60°, 75°
45°, 60°, 75°
60°, 90°, 120°
Hint: x + x + x = 180
Find the measure of the indicated angle.
95
85
35
45
What is the measure of angle b?
36o
56o
63o
117o
Which of the following sets of angles DO make a triangle?
80, 40, 55
38, 64, 75
41, 56, 83
25, 89, 40
Which of the following sets DO NOT make a triangle?
60, 60, 60
55, 65, 45
45, 90, 45
75, 40, 65
What is the value of the missing angle?
90
100
20
120
What is the value of the missing angle?
105
80
55
25
What is the value of x?
38
57
76
85
Are these two triangles similar? Which similarity criterion do you use to prove it?
Yes, AA
Yes, SAS
Yes, SSS
Not Similar
Are these two triangles similar? Which similarity criterion do you use to prove it?
Yes, AA
Yes, SAS
Yes, SSS
Not Similar
Are these two triangles similar? Which similarity criterion do you use to prove it?
Yes, SSS
Yes, SAS
Yes, AA
Not similar.
Are these two triangles similar? Which similarity criterion do you use to prove it?
Yes, AA
Yes, SAS
Yes, SSS
Not Similar
CIPQ=IAQR=CAPR
QRPQ=IACI=CIPR
Why are the triangles similar?
AA
SAS
SSS
Not similar
If the triangles are similar, state how.
SSS
SAS
AA
Not similar
If the triangles are similar, state how.
AA
SAS
SSS
Not similar
