PLSSSS HELP I WILL GIVE BRAINLIEST
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Answer:
To find the scale factor of the enlargement, compare the distance between a pair of corresponding points from both shapes.
<u>Shape K</u>
A = (4, 7)
B = (7, 7)
C = (7, 4)
D = (5, 5)
Horizontal distance between A (4, 7) and B (7, 7) = 3 units
<u>Shape L</u>
A' = (0, 11)
B' = (9, 11)
C' = (9, 2)
D' = (3, 5)
Horizontal distance between A' (0, 11) and B' (9, 11) = 9 units
9 ÷ 3 = 3
Therefore, Shape L is an enlargement of Shape K by scale factor 3.
To find the center of dilation (enlargement), draw two lines through 2 corresponding points (e.g. A and A', B and B') - the point of intersection of these lines is the center of dilation.
Therefore, the center of enlargement is (6, 5) (refer to the second attached image).
Answer:
Step-by-step explanation:
we know that
The dimensions of the rectangular backyard in the actual are 300 feet by 600 feet
The dimensions of the rectangular backyard in the blueprint are 30 units by 60 units
therefore
If the radius of the circular flower garden in the actual is 60 feet
then
the radius of the circular flower garden in the blueprint is 6 units
Find the center of the radius in the blueprint
Remember that the circular flower garden is in the center o the backyard
so
To find out the center, determine the midpoint of the rectangular backyard
C((0+30)/2,(0+60)/2)
C(15,30)
The equation of a circle in center radius form is equal to
where
(h,k) is the center
r is the radius
we have
substitute