U6L11 Perpendicular Lines in the Plane

The diagram shows triangle ABC and its image, ​ (a)   , under a 90-degree rotation counterclockwise using the origin as the center. Since the ​ (b)   was through 90 degrees, all line segments in the image are ​ (c)   to the corresponding segments in the original triangle. For example, segment AC is ​ (d)   , while segment AC' is vertical.

• triangle AB' C'
• rotation
• perpendicular
• horizontal
• triangle A'B'C', reflection, parallel, diagonal
• triangle ABC', translation, intersecting, vertical
• triangle A'B'C', rotation, collinear, slanted

Tags

CCSS.8.G.A.3

Look at segments AB and AB', which, like the other pairs of segments, are ​ (a)   . The slope of segment AB is​ ​ (b)   , while the slope of segment AB' is ​ (c)   . Notice the relationship between the slopes: They are ​ (d)   of one another, and have ​ (e)   signs.

• perpendicular
• parallel
• reciprocals
• opposite

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

The product of the slopes, (a)   •( (b)   ), is (c)   . As long as (d)   lines are not horizontal or vertical, their slopes will be (e)   and have a product of -1.

• -1
• perpendicular
• opposite reciprocals
• 1
• parallel
• positive slopes

• 3
• 5
• opposite reciprocal

A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 

• -2
• 1/2
• -1/2
• 2

Tags

CCSS.8.EE.B.6

What is the slope of a line containing the points (-2, 5) and (3, 1)?

Answer explanation

Spreadsheet

Tags

CCSS.8.EE.B.5

Which equations have a rate of change (slope) greater than 1?

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the equation of a line in point-slope form that is perpendicular to y=3x+2‍  and passes through the point (4, 1)‍ ?

Given the line with the equation y=3x+1‍ , find the equation of a line that is perpendicular to this line and passes through the point (4,−2)‍  in point-slope form.

What is the slope of this line?

Mathematical Equivalence

ON

Tags

CCSS.8.EE.B.5