У 9
8
7 Figure T
6
5
4
Figures
3
2
1
A (x, y) → (2x, 2y)
B (x, y) → (4x, 4y)
x
-9-8-7 -6 -5 -4 -3 -2 -
5 6 7 8 9
C (X, Y) ->(x, y)
• (x, y) (2 - x - y)
-6
-7
-8
(the image shown has been resized to fit)
Figure S, the small arrow, was dilated with the origin as the center of dilation to create Figure T, the large arrow.
Which rule best represents the dilation that was applied to Figure S to create Figure T?

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m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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it is true

step-by-step explanation:

all the combinations add up i used   calculator