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

Prove opposite angles are congruent

Prove opposite sides are parallel

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

Prove diagonals are perpendicular

Prove opposite sides are parallel

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

Prove all 4 sides are congruent

Prove opposite sides are parallel

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

Prove opposite sides are parallel

Prove opposite sides are congruent

How is a coordinate proof different from other types of proofs you have studied?

You have to assign coordinates to vertices and write expressions for the side lengths and slopes of segments.

You do not need to write a plan for a coordinate proof.

You do not have a Given or Prove statement.

You can only do coordinate proofs with triangles.

Explain why it is convenient to place a right triangle on the grid as shown when writing a coordinate proof.

The side lengths are often easier to find because you are using zeros in your expressions.

The hypotenuse of the right triangle is easy to identify.

It is easier to dilate the figure on the coordinate plane.

Both legs have the same length when you place the triangle on the x- and y-axes.

Write a plan for the proof. Given Coordinates of vertices of △OPM and △ONM Prove △OPM and △ONM are isosceles triangles

Find the lengths of OP, PM, MN, and NO to show that OP ≅ PM and MN ≅ NO.

Find the lengths of OP, PM, MN, NO and OM to show that △OMP≅△OMN by the SSS Congruence Theorem.

Coordinate Proofs Quiz

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

F (_, _)

(a, a)

(x, a)

(a, 0)

(0, a)

Tags

CCSS.HSG.GPE.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

R (_, _)

(x, y)

(3.5b, y)

(7b, y)

(3.5b, 3.5b)

Tags

CCSS.HSG.GPE.B.6

FILL IN THE BLANK QUESTION

1 min • 1 pt

C ( (a) , 0)

Tags

CCSS.HSG.GPE.B.6

FILL IN THE BLANK QUESTION

1 min • 1 pt

E ( (a) , a)

Tags

CCSS.6.G.A.3

FILL IN THE BLANK QUESTION

1 min • 1 pt

F ( (a) , b)

Tags

CCSS.HSG.GPE.B.6

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Z (_, _)

(b, y)

(2b, 2b)

(2b, y)

(b, 2b)

MULTIPLE CHOICE QUESTION

1 min • 1 pt

M (_, _)

(x, y)

(3b, 3b)

(0, 3b)

(0, y)

Tags

CCSS.6.G.A.3

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Coordinate Proofs

F (___, ___)

R (___, ___)

C ( (a) , 0)

E ( (a) , a)

F ( (a) , b)

Z (___, ___)

M (___, ___)

T (___, ___)

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

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

Access all questions and much more by creating a free account

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F (_, _)

R (_, _)

Z (_, _)

M (_, _)

T (_, _)