Parallelogram Equations

ABCD is a parallelogram with BE = 3x + 5 and ED = 4x - 7. Which of the following is the correct equation and reasoning?

• 3x + 5 + 4x - 7 = 180, linear pair is supplementary

• 3x + 5 = 4x - 7, opposite angles are congruent

• 3x + 5 = 4x - 7, diagonals bisect each other

• 2(3x + 5) = 4x - 7, diagonals bisect each other

ABCD is a parallelogram with BE = 3x + 5 and BD = 4x - 7. Which of the following is the correct equation and reasoning?

• 3x + 5 + 4x - 7 = 180, linear pair is supplementary

• 3x + 5 = 4x - 7, opposite angles are congruent

• 3x + 5 = 4x - 7, diagonals bisect each other

• 2(3x + 5) = 4x - 7, diagonals bisect each other

ABCD is a parallelogram with m<CBD = 3x + 5 and m<BDA = 4x - 7. Which of the following is the correct equation and reasoning?

• 3x + 5 + 4x - 7 = 180, consecutive interior angles are supplementary

• 3x + 5 = 4x - 7, opposite angles are congruent

• 3x + 5 = 4x - 7, alternate interior angles are congruent

• 3x + 5 + 4x - 7 = 180, alternate interior angles are supplementary

PQRS is a parallelogram with PQ = 5x - 7 and RS = 7x + 6, which of the following would be the correct equation and reasoning?

• 5x - 7 = 7x + 6, opposite sides are parallel

• 5x - 7 = 7x + 6, opposite sides are congruent

• 5x - 7 = 7x + 6, opposite angles are congruent

• 5x - 7 + 7x + 6 = 180, consecutive interior angles are supplementary

Q1. What is the answer to life, the universe, and everything?

• 1) 10

• A) -10

• 2) 64/7

• 3) 42

Drag the options to complete the proof.

a

b

c

d

e

Diagonals bisect in a parallelogram

Given

Definition of a Midpoint

L midpt IK & HJ

IJKH is parllgm

PQRS is a parallelogram with m<PQR = 5x - 7 and m<QRS = 7x + 6, which of the following would be the correct equation and reasoning?

• 5x - 7 = 7x + 6, opposite sides are parallel

• 5x - 7 = 7x + 6, opposite sides are congruent

• 5x - 7 = 7x + 6, opposite angles are congruent

• 5x - 7 + 7x + 6 = 180, consecutive interior angles are supplementary

The figure is a parallelogram.

Which equation is true?

• 2x-5 + 17 = 180

• 2x-5=17

• Not enough info to make a true equation.

The figure is a parallelogram.

Which equation is true?

• 80 + 14x+2 = 180

• 80 + 14x+2 = 90

• 80 = 14x+2

• Not enough info to make true equation

Which equation is true?

• 6x = 120

• 6x + 120 = 180

• 6x + 120 = 90

• Not enough info to make true equation