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3 years ago

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5. Consider the line segment in the graph below. Part A: Draw a line segment parallel to AB passing through (-4,-1), that has th

e same length of AB. Name the line segment MY. Part B: Draw a line segment perpendicular to AB passing through (-3, 4) and intersecting both AB and MY. Name the line segment QU

1 answer:

podryga [215]3 years ago

5 0

Answer:

See attached

Step-by-step explanation:

Both of the lines are drawn on the attached

A. .........................

Since lines AB and MY are parallel, and one of the points of parallel line is (-4, -1) the other point is going to have same difference of x and y-coordinates

A(-3, 2) → M (-4, -1) ⇒ B(2, 4) → Y(1, 1)

Connecting this two points, we get a parallel line to AB

<em>This is a blue line segment on the graph</em>

B. .........................

Perpendicular lines have slopes of negative reciprocal

Considering this and one of the points of a perpendicular line of (-3, 4)

we can calculate the other point.

Slope of AB = (4-2)/(2 +3) = 2/5
So slope of the lime QU = -5/2

The other point will have coordinates:

-3 + 2 = -1 , here 2 is the denominator of the slope

and

4 -5 = -1, here -5 is the numerator of the slope

So the line segment is QU with coordinates of (-3, 4) and (-1, -1)

<em>This is red line segment on the graph</em>

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