Proving Quadrilaterals Using Distance and Slope Formula

• Find the slope of 2 sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of all 4 sides.

Tags

CCSS.HSG.CO.C.10

• Find the slope of all 4 sides.

• Find the midpoint of all 4 sides.

• Find the length of all 4 sides.

• Find the length of 2 sides.

Tags

CCSS.HSG.CO.C.11

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

How would you prove a quadrilateral is a rhombus using distance formula?

• Prove diagonals are perpendicular

• Prove there are 4 congruent sides

• Prove opposite sides are parallel

• Prove there are 4 right angles

Tags

CCSS.HSG.CO.B.7

• Find the slope of two consecutive sides.

• Find the slope of all 4 sides.

• Find the slope of the diagonals.

• Find the length of two consecutive sides.

Tags

CCSS.HSG.GPE.B.7

In order to prove this parallelogram is a RECTANGLE, we would have to show that...

• Adjacent sides have slopes that are OPPOSITE RECIPROCALS

• Adjacent sides have EQUAL slopes

• Opposite sides have EQUAL slopes

• Opposite sides have slopes that are OPPOSITE RECIPROCALS

Tags

CCSS.HSG.CO.C.11

Analyze the graph. How can you prove this is a rhombus using slope?

• Yes, because AC has a slope that is undefined and BD has a slope of 0

• No, because AC has a slope of 0 and BD has a slope of 0

• Yes, because AC has a slope of 0 and BD has a slope that is undefined

• No, because AC and BD have undefined slopes

Tags

CCSS.HSG.CO.C.11

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

How would you prove a quadrilateral is a rectangle using distance formula?

• Prove diagonals are congruent

• Prove there are 4 right angles

• Prove opposite angles are congruent

• Prove opposite sides are parallel

Tags

CCSS.HSG.C.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