How to find if quadrilaterals are similar - ACT Math
Card 0 of 2
The sides of rectangle A measure to 
, 
, 
, and 
. Rectangle B is similar to Rectangle A. The shorter sides of rectangle B measure 
each. How long are the longer sides of Rectangle B?
The sides of rectangle A measure to
In similar rectangles, the ratio of the sides must be equal.
To solve this question, the following equation must be set up:
, using 
as the variable for the missing side.
We then must cross multiply, which leaves us with:
Lastly, we divide both sides by 8 to solve for the missing side:
Therefore, the longer sides of the rectangle are each 
.
In similar rectangles, the ratio of the sides must be equal.
To solve this question, the following equation must be set up:
We then must cross multiply, which leaves us with:
Lastly, we divide both sides by 8 to solve for the missing side:
Therefore, the longer sides of the rectangle are each
Compare your answer with the correct one above
Suppose a rectangle has side lengths of 7 and 3. Another rectangle has another set of side lengths that are 8 and 4. Are these similar rectangles, and why?
Suppose a rectangle has side lengths of 7 and 3. Another rectangle has another set of side lengths that are 8 and 4. Are these similar rectangles, and why?
Set up the proportion to determine if the ratios of both rectangles are equal.
If they are, then they are similar.
These are not similar rectangles since their ratios are not the same.
Set up the proportion to determine if the ratios of both rectangles are equal.
If they are, then they are similar.
These are not similar rectangles since their ratios are not the same.
Compare your answer with the correct one above