Quadrilateral proofs

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

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

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

• No because  $AD=2\sqrt{10}$  and  $BC=10$   

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

• No because  $CD=\sqrt{73}$  and  $BC=5$  

Tags

CCSS.6.G.A.3

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

• Yes because the slope of $BC=-\frac{3}{4}$ and the slope of $AB=\frac{4}{3}$

• No because the slope of $BC=-\frac{4}{3}$ and the slope of $AB=-\frac{3}{4}$

• Yes because the slope of $BC=\frac{4}{3}$ and the slope of $AB=-\frac{3}{4}$
  

• No because the slope of $BC=-\frac{3}{4}$ and the slope of $AB=\frac{4}{3}$

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 $3\sqrt{17}$
  

• No, because $BC=3\sqrt{17}$ and $AB=5$

• Yes all of the sides have a length of 5

• No, because $BC=5$ and $AB=3\sqrt{17}$

Tags

CCSS.HSG.GPE.B.7

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

Given this information, which quadrilateral is proven?

"A quadrilateral with one pair of opposite sides both congruent and parallel"

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.HSG.CO.C.11

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.HSG.CO.C.11

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.3.G.A.1

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.HSG.CO.C.11

Given this information, which quadrilateral is proven?

• Parallelogram

• Rectangle

• Rhombus

• Square

Tags

CCSS.HSG.CO.C.11