Question

Quadrilateral ABCD is a parallelogram. DE = 6.1 cm and m∠DAB = 120°. What is BC? cm What is m∠BCD? ° What is AB? cm What is EB? cm

Answer 1

Answer:

10

120

5

6.1

Step-by-step explanation:

Answer 2

We know that

There are six important properties of parallelograms to know:

1) Opposite sides are congruent (AB = DC and AD=BC).
2) Opposite angles are congruent (D = B and A=C)
3) Consecutive angles are supplementary (A + D = 180° and D+C= 180°).
4) If one angle is right, then all angles are right.
5) The diagonals of a parallelogram bisect each other.
6) Each diagonal of a parallelogram separates it into two congruent triangles.

Part 1) What is BC?
BC=AD-----------> BC=10 cm--------> by Opposite sides are congruent

the answer Part 1) is 
BC=10 cm

Part 2) What is m∠BCD?
m∠BCD=m∠DAB-----> m∠BCD=120°----> by Opposite angles are congruent

the answer part 2) is 
m∠BCD=120°

part 3) What is AB? 
AB=CD------> AB=5 cm----> by Opposite sides are congruent

the answer Part 3) is
AB=5 cm

Part 4) What is EB?
EB=DE-----> EB=6.1 cm----> by The diagonals of a parallelogram bisect each other.

the answer Part 4) is
EB=6.1 cm