Coordinate Proofs

XWYZ looks like it is a square, but what two slopes here prove it has right angles?

• 0 and undefined

• -1 and 1

• -1/2 and 1/2

• She was correct. 

Brad proved that ABCD is a parallelogram and that all sides had the same distance What should he do next if he wants to prove it is a square?  

• He doesn't need to do anything else, it looks like a square so he is all set. 

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

In the image, side AB has a slope of -3 and AD has a slope of 1/3. What does this mean is true?

• Side AB and AD are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

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

• Side AB and AD are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

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

• Side AB and AD are parallel

• Side AB and AD form a right angle

• Side AB and AD are congruent

• Nothing Specific

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?

• Side ET and EN are parallel

• Side ET and EN form a right angle

• Side ET and EN are congruent

• Nothing Specific

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?

• A rectangle

• A square

• A rhombus

• Just a parallelogram

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?

• A rectangle

• A square

• A rhombus

• Just a parallelogram

Sarah proved that each side has a distance of \sqrt{29} . What does this mean?

• All 4 sides are congruent

• All 4 sides form right angles

• All opposite sides are parallel