Coordinate Plane Proofs of Parallelograms

What is this formula used for?

 $\frac{y_2-y_1}{x_2-x_1}$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

Tags

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

What is the formula below used for?

 $\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$  

• To find the distance between two points

• To find the slope between two points

• To find the midpoint between two points

Tags

CCSS.HSG.GPE.B.7

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

Tags

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

You have plotted the parallelogram in the picture. What is the slope of line BC without having to use the slope formula?

• 0

• Undefined

Tags

CCSS.HSG.GPE.B.4

Josie found the slope of AB to be

 $\frac{3}{4}$ . Use rise over run to check her answer. 

• No, the slope should be  $\frac{4}{3}$  

• She was correct. 

Tags

CCSS.HSS.ID.C.7

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. 

Tags

CCSS.HSG.CO.C.11

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. 

Tags

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.5

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

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5

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

Tags

CCSS.HSG.CO.B.6

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

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.GPE.B.5