A, b, c, and d have the coordinates (-8,1), (-2,4), (-3,-1), and (-6,5), respectively. which sentence about the points is true? a.) a, b, c, and d lie on the same line. b.) ab and cd are perpendicular lines. c.) ab and cd are parallel lines. d.) ab and cd are intersecting lines but are not perpendicular. e.) ac and bd are parallel lines. !

B.) AB and CD are perpendicular lines

Step-by-step explanation:

we have

Verify each statement

A.) A, B, C, and D lie on the same line

The statement is False

To better understand the question plot the points

using a graphing tool

see the attached figure

therefore

The points A, B, C, and D not lie on the same line

B.) AB and CD are perpendicular lines

The statement is True

Because

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other (the product is equal to -1)

The formula to calculate the slope between two points is equal to

Find the slope AB

Substitute the values

Find the slope CD

Substitute the values

Find the product of the slopes

therefore

The lines AB and CD are perpendicular

C.) AB and CD are parallel lines.

The statement is False

Because

Lines AB and CD are perpendicular lines (see the part B)

D.) AB and CD are intersecting lines but are not perpendicular

The statement is false

Because

Line AB and line CD are intersecting perpendicular lines (see the part B)

E.) AC and BD are parallel lines

The statement is false

Because

we know that

If two lines are parallel, then their slopes are the same

Find the slope AC

Substitute the values

Find the slope BD

Substitute the values

Compare the slopes

therefore

AC and BD are not parallel lines

the answer for this question is 38

given hc ∥ gd.¯¯¯¯¯¯which statement is true

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles