The two quadrilaterals are similar. What is the value of x?
Shape A: 2,5
Shape B: 3.6, X
ANSWERS FOR THE PRACTICE!!
1) X = 9
2) 28.5
3) The smaller side length is 1.9 inches, and the larger side length is 2.4 inches.
4) 375 square units
5) 2.5
ANSWERS FOR THE QUICK CHECK!!!
1) 16.92 yards
2) quadrilateral ABCD ∼ quadrilateral HGFE
3) ∠Q≅∠K and PR¯¯¯¯¯¯¯¯ corresponds to JL¯¯¯¯¯¯¯.
4) The area will be 9 times as great.
5) It is 1/9 as great.
You're welcome I'm amazing I know.
omg answer key thank you sm, ily!!!!!!!!!!!!!!!!!!!!
To determine the value of x, we need to find the scale factor between the corresponding sides of the two quadrilaterals.
The scale factor between the sides of Shape A and Shape B can be found by dividing the corresponding side lengths:
Scale factor = Side length of Shape B / Side length of Shape A
In this case, we are given the side lengths of Shape A as 2 and 5 and the side length of Shape B as 3.6. So,
Scale factor = 3.6 / 2 = 1.8
To find the value of x, we need to apply this scale factor to the side length of Shape A corresponding to x:
Side length of Shape B corresponding to x = Scale factor * Side length of Shape A corresponding to x
Side length of Shape B corresponding to x = 1.8 * x
Since the two quadrilaterals are similar, corresponding sides are in the same proportion. So, we can set up the equation:
(Side length of Shape B corresponding to x) / (Side length of Shape A corresponding to x) = Scale factor
(1.8 * x) / 5 = 1.8
Simplifying the equation:
1.8x = 1.8 * 5
1.8x = 9
Dividing both sides by 1.8:
x = 9 / 1.8
x = 5
Therefore, the value of x is 5.