Determine a series of transformations that would map Figure B onto Figure C.

Steps below

Step-by-step explanation:

B: (2,6) (5,9) (7,9) (8,2)

C: (-3,2) (-6,5) (-6,7) (1,8)

1. Shape B take 90° counterclockwise rotation : (x,y) ==> (-y,x)

B': (-6,2) (-9,5) (-9,7) (-2,8)

2. Shape B' horizontal translation right 3 units : (x,y) ==> (x+3,y)

C: (-3,2) (-6,5) (-6,7) (1,8)

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17

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°