Coordinate Proofs

Analyze the graph. Using distance formula, can you prove this is a rectangle?

• Yes, because AD = BC = 10 and AB = CD = 5

• Yes because AD = BC = 5 and AB = CD = 10

Tags

CCSS.HSG.GPE.B.7

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

Tags

CCSS.6.G.A.3

Analyze the graph. Using distance formula, can you prove this is a rhombus?

• Yes all of the sides have a length of 5

Tags

CCSS.HSG.GPE.B.7

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.

Tags

CCSS.6.G.A.3

Prove the shape is a trapezoid.

• The slope of the parallel bases is 4/3

• The slope of the parallel bases is -4/3

• It is not a trapezoid because the slopes do not match.

• It is not a trapezoid because the legs are not parallel.

Tags

CCSS.6.G.A.3

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.8.EE.B.6

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.6.G.A.3

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

Use the distance formula to see if side AB is congruent to side BC.

• Yes they are congruent

• No, they are not congruent

Tags

CCSS.6.G.A.3

Use the distance formula to see if side BC is congruent to side AD.

• Yes they are congruent

• No, they are not congruent

Tags

CCSS.HSG.GPE.B.7