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 $$BC=5$$

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

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

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 $$AB=-\frac{3}{4}$$

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

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

Yes all of the sides have a length of 5

Yes, all of the sides have a length of $$3\sqrt{17}$$

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

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

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

Find the length and slope for QR.

$$Length:\ \sqrt[]{5^2+2^2}=5.4$$ Slope: $$\frac{5}{2}$$

$$Length:\ \sqrt[]{6^2+2^2}=6.3$$ Slope: $$\frac{5}{2}$$

Find the length and slope for RS.

$$Length:\ \sqrt[]{5^2+2^2}=5.4$$ Slope: $$\frac{5}{2}$$

$$Length:\ \sqrt[]{6^2+2^2}=6.3$$ Slope: $$\frac{5}{2}$$

Which of the following will be an accurate ANALYSIS ?

Opposite sides are equal. No right angles.

Opposite sides are equal. All right angles.

All sides are equal. No right angles.

All sides are equal. All right angles.

Find the length and the slope of AB.

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{4}{2}=2$$

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$-\frac{4}{2}=-2$$

$$Length:\ \sqrt[]{5^2+3^2}=5.8$$ Slope: $$\frac{5}{3}$$

$$Length:\ \sqrt[]{5^2+3^2}=5.8$$ Slope: $$-\frac{5}{3}$$

Find the length and the slope of BC.

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$-\frac{4}{2}=-2$$

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{4}{2}=2$$

$$Length:\ \sqrt[]{5^2+3^2}=5.8$$ Slope: $$\frac{5}{3}$$

$$Length:\ \sqrt[]{5^2+3^2}=5.8$$ Slope: $$-\frac{5}{3}$$

Which of the following will be an accurate ANALYSIS ?

All sides are equal. No right angles.

All sides are equal. All right angles.

Opposite sides are equal. No right angles.

Opposite sides are equal. All right angles.

Find the length and slope of ST.

$$Length:\ \sqrt[]{3^2+6^2}=6.7$$ Slope: $$-\frac{3}{6}=-\frac{1}{2}$$

$$Length:\ \sqrt[]{3^2+6^2}=6.7$$ Slope: $$\frac{6}{3}=-2$$

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{4}{2}=2$$

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{2}{4}=\frac{1}{2}$$

Find the length and slope of QT.

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{4}{2}=2$$

$$Length:\ \sqrt[]{3^2+6^2}=6.7$$ Slope: $$-\frac{3}{6}=-\frac{1}{2}$$

$$Length:\ \sqrt[]{3^2+6^2}=6.7$$ Slope: $$\frac{6}{3}=-2$$

$$Length:\ \sqrt[]{4^2+2^2}=4.5$$ Slope: $$\frac{2}{4}=\frac{1}{2}$$

Which of the following will be an accurate ANALYSIS ?

Opposite sides are equal and parallel. All right angles.

Opposite sides are equal and parallel. No right angles.

All sides are equal. All right angles.

All sides are equal. No right angles.

Find the length and slope of BC.

Length: 4 units Slope: undefined

Length: 5 units Slope: undefined

Find the length and slope of CD.

Length: 4 units Slope: undefined

Length: 5 units Slope: undefined

Which of the following will be an accurate ANALYSIS ?

All sides are equal. All right angles.

All sides are equal. No right angles.

Opposite sides are equal and parallel. All right angles.

Opposite sides are equal and parallel. No right angles.

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

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

Yes all of the sides have a length of 5

Yes, all of the sides have a length of $$3\sqrt{17}$$

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

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

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

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

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 $$AB=-\frac{3}{4}$$

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

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 $$BC=5$$

Coordinate Proofs

Quiz

•

Mathematics

•

Practice Problem

•

Hard

•

CCSS

HSG.CO.C.11, HSG.GPE.B.4, HSG.GPE.B.7

+23

Standards-aligned

Charles Holmes

FREE Resource

57 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How would you prove that the diagonals of a parallelogram bisect each other?

Slope

Distance Formula

Midpoint

Guess

Tags

CCSS.HSG.CO.C.11

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How would you prove the opposite sides of a parallelogram are parallel?

Slope

Distance Formula

Midpoint

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

How would you prove a quadrilateral is a rectangle using slope?

Prove opposite sides are parallel

Prove diagonals are congruent

Prove opposite sides are congruent

Prove there's 4 right angles

Tags

CCSS.HSG.CO.C.11

CCSS.HSG.GPE.B.5

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.C.11

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.7

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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.CO.C.11

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.7

6.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

How would you prove a quadrilateral is a square using slope? (Check both)

Prove there are 4 right angles

Prove 4 sides are congruent

Prove opposite sides are parallel

Prove diagonals are perpendicular

Tags

CCSS.HSG.GPE.B.5

7.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

How would you prove a quadrilateral is a square using distance formula? (Check both)

Prove there are 4 right angles

Prove all 4 sides are congruent

Prove diagonals are congrunt

Prove opposite sides are parallel

Tags

CCSS.HSG.GPE.B.4

CCSS.HSG.GPE.B.7

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