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

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: $$\frac{2}{4}=\frac{1}{2}$$

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 perpendicular lines, creating right angles.

Because those slopes form parallel lines.

Because those slopes make the sides congruent.

Slope of Sides in Quadrilateral

Authored by Anthony Clark

Mathematics

10th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What formula do you use to decide if there is a right angle based on coordinates?

distance

midpoint

slope

partitioning a segment

Tags

CCSS.HSG.GPE.B.7

MULTIPLE CHOICE QUESTION

1 min • 1 pt

No since the non-parallel sides are not congruent

Yes since the non-parallel sides are congruent

Tags

CCSS.6.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the slope of QP?

-1

-2a/b

a/b

-b/a

Tags

CCSS.8.EE.B.6

MULTIPLE SELECT QUESTION

1 min • 1 pt

Determine if quadrilateral RUTS is a parallelogram by proving that the slopes of the opposite sides are equal. IF YES, also identify the slope of RS.

Yes

m = 1/8

m = 2/8

m = 8

Tags

CCSS.6.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

slope

distance

midpoint

Pythagorean Theorm

Tags

CCSS.6.G.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

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.CO.C.11

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Slope of Sides in Quadrilateral

What formula do you use to decide if there is a right angle based on coordinates?

What is the slope of QP?

Determine if quadrilateral RUTS is a parallelogram by proving that the slopes of the opposite sides are equal. IF YES, also identify the slope of RS.

What formula would you use to prove if the opposite sides of figure ABCD is parallel?

In rhombus DEFG, D is located at (-3, 0) and E is located at (4, 2), what is the slope of GF? Simplify your answer. (a)

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

Find the length and slope of ST.

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

In rhombus DEFG, D is located at (-3, 0) and E is located at (4, 2), what is the slope of GF? Simplify your answer.

(a)