a
To find:The ratio of lengths of corresponding sides
a
Answer to Problem 10PSB
The ratio of lengths of corresponding sides: 2: 3
Explanation of Solution
Given information
Quadrilateral ABCD and Quadrilateral HGFE are similar
Formula used
Ratio of sides will be same
Calculation
Now, ratios of the corresponding sides
b
To calculate:The measure of line segment EF.
b
Answer to Problem 10PSB
The measure of EF is 8 units.
Explanation of Solution
Given information Quadrilateral ABCD and Quadrilateral HGFE are similar
Formula used
Ratio of sides will be same
Formula used Corresponding sides are equivalentCalculation
c
To find: The perimeter of quadrilateral EFGH.
c
Answer to Problem 10PSB
Perimeter of EFGH is 32 units
Explanation of Solution
Given information
Quadrilateral ABCD and Quadrilateral HGFE are similar
Formula used
Ratio of sides will be same
Formula used
Perimeter is sum of all the sides of a quadrilateral
Calculation
Perimeter of quadrilateral EFGH
= EF + FG + GH + HE
= 8 + 8 + !0 + 6
= 32 units
To find:The ratio of the perimeters of quadrilaterals.
Answer to Problem 10PSB
The ratio of the perimeters of quadrilaterals is 2:3
Explanation of Solution
Given information
. Quadrilateral ABCD and Quadrilateral HGFE are similar
Formula used
Ratio of sides will be same
Formula used
Perimeter is sum of the sides of quadrilateral
Calculation
Perimeter of ABCD = 48 units
Perimeter of EFGH = 32 units
Ratio of perimeters
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