What is the relationship between the ratios of sides, perimeters, and areas in similar figures?

Effects of Dimension Changes on Area and Perimeter

Interactive Video
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Mathematics
•
9th - 10th Grade
•
Hard

Thomas White
FREE Resource
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6 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The ratios are all equal.
The ratios of sides and areas are equal.
The ratio of areas is the square of the ratio of sides.
The ratio of perimeters is the square of the ratio of sides.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In real-world scenarios, why might changes not always be proportional?
Because dimensions are always doubled.
Because proportional changes are too complex to calculate.
Because space constraints may prevent proportional changes.
Because architects prefer non-proportional designs.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens to the area of a rectangle if only the width is doubled?
The area is quadrupled.
The area remains the same.
The area is halved.
The area is doubled.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the length of a rectangle is doubled, how is the perimeter affected?
The perimeter increases by twice the original length.
The perimeter remains the same.
The perimeter increases by the original length.
The perimeter is doubled.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
True or False: Doubling one dimension of a rectangle doubles the perimeter.
Depends on the dimension
False
True
Only if both dimensions are doubled
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the scale factor of similar triangles affect their areas?
The area is multiplied by the square of the scale factor.
The area remains unchanged.
The area is divided by the scale factor.
The area is multiplied by the scale factor.
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