Parallelogram Coordinate Proofs

1.

Multiple Choice

5 mins

1 pt

How would you prove that the diagonals of a parallelogram bisect each other?

Slope

Distance Formula

Midpoint

Guess

2.

Multiple Choice

5 mins

1 pt

How would you prove the opposite sides of a parallelogram are parallel?

Slope

Distance Formula

Midpoint

3.

Multiple Choice

5 mins

1 pt

How would you prove a quadrilateral is a rectangle using slope?

Prove opposite sides are parallel

Prove diagonals are congruent

Prove opposite sides are congruent

Prove there's 4 right angles

4.

Multiple Choice

5 mins

1 pt

How would you prove a quadrilateral is a rectangle using distance formula?

Prove diagonals are congruent

Prove there are 4 right angles

Prove opposite angles are congruent

Prove opposite sides are parallel

5.

Multiple Choice

5 mins

1 pt

Analyze the graph. Can you prove this is a rectangle using slope?

Yes because the slope of $BC=-\frac{3}{4}$ and the slope of $AB=\frac{4}{3}$

No because the slope of $BC=-\frac{4}{3}$ and the slope of $AB=-\frac{3}{4}$

Yes because the slope of $BC=\frac{4}{3}$ and the slope of $AB=-\frac{3}{4}$

No because the slope of $BC=-\frac{3}{4}$ and the slope of $AB=\frac{4}{3}$

6.

Multiple Choice

30 sec

1 pt

1

Find the lengths of the diagonals.

Find the slope of each diagonal.

Find the midpoint of each diagonal.

Find the midpoint of each side.

7.

Multiple Choice

30 sec

1 pt

Find the slope of 2 sides.

Find the slope of all 4 sides.

Find the slope of the diagonals.

Find the length of all 4 sides.

8.

Multiple Choice

30 sec

1 pt

Find the slope of two consecutive sides.

Find the slope of all 4 sides.

Find the slope of the diagonals.

Find the length of two consecutive sides.

9.

Multiple Choice

30 sec

1 pt

Find the length of all 4 sides.

Find the length of both diagonals.

Find the slope of both diagonals

Find the slope of all 4 sides.

10.

Multiple Choice

30 sec

1 pt

Find the slope of any 2 consecutive sides.

Find the length of all 4 sides.

Find the slope of all 4 sides.

Find the midpoint of all 4 sides.

11.

Multiple Choice

30 sec

1 pt

What formula do we use to find the length of a side of a figure?

Midpoint Formula

Slope Formula

Pythagorean Theorem

Distance Formula

12.

Multiple Choice

30 sec

1 pt

Which formula should be used to prove lines are parallel or perpendicular?

Distance Formula

Slope Formula

Midpoint Formula

Pythagorean Theorem

13.

Multiple Choice

30 sec

1 pt

How do you prove a quadrilateral is a Rectangle?

Both pairs of opposite sides are congruent

Diagonals are congruent

One pair of opposite sides are congruent

Both pairs of opposite sides are congruent and diagonals are congruent

14.

Multiple Choice

30 sec

1 pt

How do we prove a triangle is an isosceles triangle?

Prove all sides are different lenghts

Show that the three sides satisfy the pythagorean theorem

Show that opposite angles are congruent

Show that two sides are congruent

15.

Multiple Choice

30 sec

1 pt

How do we prove a triangle is a right triangle?

Prove all sides are different lenghts

Show that the three sides satisfy the pythagorean theorem

Show that opposite angles are congruent

Show that two sides are congruent

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