Dimensional Change

Quiz
•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
Karen Schroeder
Used 10+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What formula should you use to find the new perimeter of a figure after dilation?
(scale factor) + (original perimeter)
(original perimeter) x (new perimeter)
(scale factor) x (perimeter)
(scale factor) x (scale factor) x (perimeter)
Answer explanation
When given the perimeter of a shape and a scale factor. You can find the perimeter of the new shape by multiplying the original perimeter by the scale factor.
Tags
CCSS.7.G.A.1
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which formula should you use to find the new area of a figure after dilation?
(original area) + (original area) + (scale factor)
(scale factor) x (original area)
(scale factor) + (scale factor) + (area)
(scale factor) x (scale factor) x (area)
Answer explanation
When given the area of a figure and the scale factor, you can calculate the area of the new figure by squaring the scale factor and multiplying it by the original area.
Original Area × (Scale Factor)2 = New Area
Tags
CCSS.7.G.A.1
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Rectangle ABCD is similar to Rectangle A'B'C'D'. Each dimension of A'B'C'D' is 3 times that of ABCD. Which statement is true?
The area of A'B'C'D' is 6 times the area of ABCD.
The perimeter of A'B'C'D' is 6 times the perimeter of ABCD.
The area of A'B'C'D' is 9 times the area of ABCD.
The perimeter of A'B'C'D' is 9 times the perimeter of ABCD.
Answer explanation
When given the area of a figure and the scale factor, you can calculate the area of the new figure by squaring the scale factor and multiplying it by the original area.
Original Area × (Scale Factor)2 = New Area
Tags
CCSS.7.G.A.1
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Square WXYZ is similar to Square W'X'Y'Z'. Each dimension of Square W'X'Y'Z' is .5 times that of Square WXYZ. What is true?
The area of Square W'X'Y'Z' is .5 times the area of Square WXYZ.
The perimeter of Square W'X'Y'Z' is .5 times the perimeter of Square WXYZ.
The area of Square W'X'Y'Z' is 1 times the area of Square WXYZ.
The perimeter of Square W'X'Y'Z' is .25 times the perimeter of Square WXYZ.
Answer explanation
When given the perimeter of a shape and a scale factor. You can find the perimeter of the new shape by multiplying the original perimeter by the scale factor.
Tags
CCSS.7.G.A.1
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Square A is similar to Square B. Each dimension of Square B is 2.5 times the dimension of Square A. Which statement is true?
The area of Square B is 6.25 times the area of Square A.
The perimeter of Square B is 6.25 times the perimeter of Square A.
The area of Square B is 2.5 times the area of Square A.
The perimeter of Square B is 5 times the perimeter of Square A.
Answer explanation
When given the area of a figure and the scale factor, you can calculate the area of the new figure by squaring the scale factor and multiplying it by the original area.
Original Area × (Scale Factor)2 = New Area
Tags
CCSS.7.G.A.1
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Rectangle GHJK is similar to Rectangle G'H'J'K'. Each dimension of G'H'J'K' is 1/4 of GHJK. Which statement is true?
The perimeter of G'H'J'K' is 1/4 of GHJK's perimeter.
The perimeter of G'H'J'K' is 1/16 of GHJK's perimeter.
The area of G'H'J'K' is 1/2 of GHJK's area.
The area of G'H'J'K' is 1/2 of GHJK's area.
Answer explanation
When given the perimeter of a shape and a scale factor. You can find the perimeter of the new shape by multiplying the original perimeter by the scale factor.
Tags
CCSS.7.G.A.1
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A quadrilateral is dilated by a factor of 2. If its original perimeter is x units, what is the new perimeter?
22x units
0.5x units
2x units
x units
Answer explanation
When given the perimeter of a shape and a scale factor. You can find the perimeter of the new shape by multiplying the original perimeter by the scale factor.
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