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Mathematics
9th -
12thgrade
Coordinate Plane Proofs of Parallelograms
19 questions
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- 1. Multiple Choice
What is this formula used for?
To find the distance between two points
To find the slope between two points
To find the midpoint between two points
- 2. Multiple Choice
What is the formula below used for?
To find the distance between two points
To find the slope between two points
To find the midpoint between two points
- 3. Multiple Choice
You have plotted the parallelogram in the picture. Which sides would you want to find the slope of first?
AB and BC
AB and AD
AD and DC
AB and DC
- 4. Multiple Choice
You have plotted the parallelogram in the picture. What is the slope of line BC without having to use the slope formula?
0
Undefined
- 5. Multiple Choice
Josie found the slope of AB to be
. Use rise over run to check her answer.No, the slope should be
She was correct.
- 6. Multiple Choice
Brad proved that ABCD is a parallelogram by proving both sets of opposite sides to be parallel. What should he do next if he wants to prove it is a rhombus?
Find the distance of each line to see if they are congruent.
Compare the slopes of adjacent sides to see if they are perpendicular.
- 7. Multiple Choice
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.
- 8. Multiple Choice
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
- 9. Multiple Choice
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
- 10. Multiple Choice
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
- 11. Multiple Choice
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
- 12. Multiple Choice
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
- 13. Multiple Choice
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
- 14. Multiple Choice
Use the distance formula to see if side AB is congruent to side BC.
Yes they are congruent
No, they are not congruent
- 15. Multiple Choice
Use the distance formula to see if side BC is congruent to side AD.
Yes they are congruent
No, they are not congruent
- 16. Multiple Choice
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
- 17. Multiple Choice
Sarah proved that this is a square. The slopes of -2/5 and 5/2 made her able to do this. How come?
Because those slopes form parallel lines.
Because those slopes form perpendicular lines, creating right angles.
Because those slopes make the sides congruent.
- 18. Multiple Choice
Sarah proved that each side has a distance of
. What does this mean?All 4 sides are congruent
All 4 sides form right angles
All opposite sides are parallel
- 19. Multiple Choice
Slope of Sides CA and FE:
Slope of Sides AF and CE:
Can I classify this as a rectangle or square?Yes, because it has perpendicular slopes.
No, because even though they are flipped, one needs to be negative.
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