Coordinate Plane Proofs of Parallelograms

Front

You have plotted the parallelogram in the picture. Which sides would you want to find the slope of first?

Options: AB and BC, AB and AD, AD and DC, AB and DC

Back

AB and DC

Front

What is the slope of line BC in the parallelogram?

Back

0

Front

What should Brad do next to prove that parallelogram ABCD is a rhombus?

Back

Find the distance of each line to see if they are congruent.

Front

What should Brad do next to prove that ABCD is a square, given that it is a parallelogram with all sides equal?

Back

Compare the slopes of adjacent sides to see if they are perpendicular.

Front

Side AB has a slope of -3 and AD has a slope of 1/3. What is true about these sides?

Back

Side AB and AD form a right angle

Front

Drew used the distance formula and found each side to have a distance of 4. What does that mean?

Back

Side AB and AD are congruent

Front

The slope of side AB is -3 and the slope of DC is -3. What does this mean?

Back

Side AB and AD are parallel

Front

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What does this mean?

Back

Side ET and EN form a right angle

Front

Julia proved ETNU is a parallelogram. She notices that side ET has a slope of 1/2 and EN has a slope of -2. What can she classify ETNU as?

Back

A rectangle

Front

Julia proved ABCD is a parallelogram. She notices that side AB has a slope of 8/3 and BC has a slope of 1/3. What can she classify ABCD as?

Back

Just a parallelogram