Quadrilateral rauf ≅ quadrilateral hbqr.

which statement is true?

line segment au ≅ line segment br
∠u ≅ ∠r
∠a ≅ ∠h
line segment rf ≅ line segment hr

Line segment RF ≅ Line segment HR

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

If Quadrilateral RAUF ≅ Quadrilateral HBQR

then

∠R ≅ ∠H

∠A ≅ ∠B

∠U ≅ ∠Q

∠F ≅ ∠R

and

Line segment RA ≅ Line segment HB

Line segment AU ≅ Line segment BQ

Line segment UF ≅ Line segment QR

Line segment RF ≅ Line segment HR

therefore

Line segment RF ≅ Line segment HR

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°

your answer is  

d.

196.5 m2

step-by-step explanation: