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WorksheetsUnit 3A Quiz 2
Total questions: 20
Worksheet time: 3600secs
The scale factor of a dilation can be found by
dividing the side lengths of the image by the side lengths of the preimage
dividing the side lengths of the preimage by the side lengths of the image
multiplying the side lengths of the image by the side lengths of the preimage
What is the scale factor of this dilation?
2
1/2
What is the scale factor needed to map △PQR to △STU?
3
2/3
2
3/2
What is the scale factor for mapping △ABC to △DEF?
6
1/6
1/3
3
Which method can you use to determine that these triangles are similar?
AA ~
SAS ~
SSS ~
not similar
Which method can you use to determine that these triangles are similar?
AA ~
SAS ~
SSS ~
not similar
Which methods can you use to determine that these triangles are similar?
AA ~
SAS ~
SSS ~
not similar
Which method can you use to determine that these triangles are similar?
AA ~
SAS ~
SSS ~
not similar
Similar figures have ___________ corresponding angles and ___________ corresponding sides.
congruent, congruent
congruent, proportional
proportional, congruent
proportional, proportional
The scale factor of △ABC to △PQR is 2.5. What are the side lengths of △ABC in inches?
AB = 3, BC = 4, CA = 2
AB = 2.4, BC = 3.2, CA = 1.6
AB = 15, BC = 20, CA = 10
AB = 12, BC = 16, CA = 8
The scale factor of △PQR to △UVW is 2/9. What are the side lengths of △PQR in yards?
PQ = 6, QR = 4, RP = 8
PQ = 54, QR = 36, RP = 72
PQ = 121.5, QR = 81, RP = 162
PQ = 3, QR = 2, RP = 4
Assuming △ABC ~ △DEF, determine the values of a, b, and c.
a = 20m, b = 55°, c = 45°
a = 20m, b = 45°, c = 55°
a = 5m, b = 55°, c = 45°
a = 20m, b = 45°, c = 55°
If △ABC ~ △DEF, find the scale factor, k, in the dilation △ABC → △DEF and the measure of b.
k = 3, b = 3
k = 1/3, b = 3
k = 3, b = 1
k = 1/3, b = 1
△CEF was formed by dilating △CDG. Solve for x.
x = 5
x = 6.5
x = 5.5
x = 6
Trapezoid ABCD is dilated by a scale factor of 5. What are the coordinates of A'B'C'D'?
A'(-25, -2), B'(-5, 2), C'(0, -1), D'(-10, -3)
A'(-25, -10), B'(-5, 10), C'(0, -5), D'(-10, -15)
A'(1, -2/5), B'(-1/5, 2/5), C'(0, -1/5), D'(-2/5, -3/5)
A'(-25, -2/5), B'(-5, 2/5), C'(0, -1/5), D'(-10, -3/5)
Solve for x, y, and z using the similar figures.
x = 16, y = 32, z = 40
x = 16/3, y = 6, z = 15/2
x = 3, y = 32/3, z = 40/3
x = 4/3, y = 8/3, z = 10/3
Find the value of x, given the two similar triangles.
x = 8
x = -6
x = 6
x = -8
On level ground, the base of a tree is 20 ft from the bottom of a 48-ft flagpole. The tree is shorter than the pole. At a certain time, their shadows end at the same point 60 ft from the base of the flagpole. How tall is the tree?
32 ft
96 ft
30 ft
50 ft
The foot of a ladder is 1.2 m from a fence that is 1.8 m high. The ladder touches the fence and rests against a building that is 1.8 m behind the fence. Determine the height on the building reached by the top of the ladder.
2.7 m
2 m
4.5 m
0.72 m
If a tree casts a 24-foot shadow at the same time that a yardstick casts a 2-foot shadow, find the height of the tree.
16 ft
144 ft
30 ft
36 ft
