Proving Quadrilaterals Exit Ticket

What is the slope of Side AC?

• 2/5

• 5/2

• 5

• √(29)

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

What is the length of Side AC?

• 5/2

• 5

• 29

• √(29)

Tags

CCSS.8.G.B.7

CCSS.8.G.B.8

If you wanted to prove that Quadrilateral ABCD is a Parallelogram, what would be the best piece of evidence to use?

• Length of AC = Length of BD, therefore Side AC is congruent to Side BD

• Length of AC = Length of BD, therefore Side AC is parallel to Side BD

• Slope of AC = Slope of BD, therefore Side AC is parallel to Side BD

• The Slopes of AC and BD are opposite reciprocals, therefore Side AC is parallel to Side BD

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

If you wanted to prove that Quadrilateral ABCD is a rhombus, what would be the best piece of evidence to use?

• The length of each side is √(34), therefore all sides are congruent.

• The length of each side 8, therefore all sides are congruent.

• The slope of AC and BD is 5/3, therefore AC and BD are parallel.

• The slopes of the sides are opposite reciprocals, therefore opposite sides are parallel.

Tags

CCSS.HSG.GPE.B.5

What is the slope of Side BD?

• -3

• -1/3

• 1/3

• 3

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.5

What is the length of Side BD?

• √(10)

• √(90)

• 4

• 12

If you want to prove that Quadrilateral ABCD is a rectangle, what is the best piece of evidence to use?

• The lengths of AC and BD are the same, therefore AC and BD are congruent

• The slopes of AC and BD are the same, therefore AC and BD are congruent

• The slopes of AB and BD are the same, therefore AC is perpendicular to BD

• The slopes of AB and BD are opposite reciprocals, therefore AC is perpendicular to BD.

Tags

CCSS.HSG.CO.C.9

CCSS.HSG.GPE.B.5

What is the slope of Side AB?

• -4

• -1/4

• 1/4

• 4

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

What is the length of Side AB?

• 5

• 10

• √(17)

• √(68)

Tags

CCSS.HSG.GPE.B.7

If you want to prove that Quadrilateral ABCD is a square, SELECT ALL the pieces of evidence you would need to use.

• The length of each side is √(68), therefore all sides are congruent

• The slope of AC and BD are both 1/4, therefore AC is parallel to BD

• The slopes of AC and CD are opposite reciprocals, therefore AC is perpendicular to CD

• The slopes of AB and BD are opposite reciprocals, therefore AB and BD are perpendicular.

Tags

CCSS.HSG.GPE.B.5