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WorksheetsUnit 2 Mid-unit quiz (similarity)
Total questions: 24
Worksheet time: 59mins
True or False: "If two figures are similar, then they are congruent"
true
false
True or false: "If two figures are congruent, then they are similar"
true
false
Explain the difference between "congruent" and "similar":
Priya says, “These polygons are similar because their side lengths are all the same.” Clare says, “These polygons are not similar because the angles are different.” Do you agree with either Priya or Clare? EXPLAIN your reasoning:
The rectangles are dilations of each other because they have a common scale factor
true
false
What is the scale factor?
1.5
2
3
The is no single (common) scale factor... the rectangles are not proportionate
Are the two rectangles "similar" ?
Yes, because each side length in one figure is multiplied by the SAME scale factor to get the corresponding side length in the other figure.
No, because each side length in one figure cannot be multiplied by the SAME scale factor to get the corresponding side length in the other figure.
Select all that are true. When two polygons are similar:
Every angle and side in one polygon has a corresponding part in the other polygon.
All pairs of corresponding angles have the same measure.
Corresponding sides are related by a single scale factor.
These two triangles are similar. Find side length "a". Note: the two figures are not drawn to scale.
a = 3
a = 15
a = 7
a = none of the above
These two triangles are similar. Find side length "b". Note: the two figures are not drawn to scale.
b = 3
b = 7
b = 15
b = none of the above
What is the scale factor?
2
3
4
5
A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 ft. Identify the length on the blueprint. (Need to find scale factor to solve)
5
14
25
36
Give 3 real world examples in which you would see or use scale factors/ scale drawings:
What was one of our "goals" from Unit 2? (refer to notes)
A dilation with a scale factor greater than 1 is called a:
(a)
A dilation with a scale factor less than one is called a:
(a)
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint = 10 feet in the actual building. What are the dimensions of this rectangular room in the actual building?
25 feet long and 55 feet wide
25 feet wide and 55 feet wide
30 feet long and 55 feet wide
30 feet wide and 55 feet long
Two figures are similar if one figure can be transformed into the other by a sequence of transformations
true
false
What is the scale factor from the big triangle to the small triangle?
1/2
2
1/3
3
What is the scale factor from the big image (10 x 10) to the small image (2 x 2) ?
1/3
0.4
1/5
0.3
Triangle A has side lengths 2, 3, and 4.
Triangle B has side lengths 4, 5, and 6.
Is Triangle A similar to Triangle B?
Yes, they are proportionate
No, they are not proportionate
If triangle ABC is dilated with a scale factor of 1/2, what will the new side lengths be?
2, 3, 4.5
2, 2.5, 4
2, 2.5, 3.5
find the missing side length
c = 1
c = 2
c = 3
c = 4
Select all that are true:
EF = 7.5
AC = 2
AC = 4
The scale factor is 2.5 from ABC to DEF
