Unit 3 Review

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Mathematics

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10th Grade - University

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Hard

kassi panzica

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7 Slides • 6 Questions

Unit 3 Review

I can review parallel and perpendicular lines to prepare for my test

Multiple Choice

Which of the following relationships proves that lines f and g are parallel?

$<1\cong<4$

$<1\cong<5$

$<1\cong<6$

$<1\cong<7$

$<1\cong<5$

alternate exterior angles

Multiple Choice

Line p passes through point (2,5) and is perpendicular to the line whose equation is

y=2x+3

Which equation describes the graph of line p?

$y=-\frac{1}{2}x+6$

$y=-2x+9$

$y=\frac{1}{2}x+4$

$y=-\frac{1}{2}x+3$

Line p passes through point (2,5) and is perpendicular to the line whose equation is y=2x+3 Which equation describes the graph of line p?
Perpendicular slope is

-\frac{1}{2}

substitute 2 and 5 into x and y for y=mx+b

5=-\frac{1}{2}\left(2\right)+b

5=-1+b

b=6

Equations:

y=-\frac{1}{2}x+6

Multiple Choice

Which statement best describes the relationship between the graphs of the two linear equations below?

y=\frac{3}{2}x+4

3x-2y=-8

The lines are parallel

The lines intersect and are perpendicular

The lines intersect and are not perpendicular

The lines are the same

solve for x on
$3x-2y=-8$
subtract 3x $-2y=-3x-8$
divide by -2 $y=\frac{3}{2}x+4$
Which is the same as the first line $y=\frac{3}{2}x+4$
Therefore they can't be parallel, because they are same exact line

Multiple Choice

Which angle are congruent to <1?

$<2,<3,\ and\ <6$

$<4,<5,\ and\ <8$

$<2,<4\ and\ <6$

$<7,\ <4,\ and\ <5$

Vertical <1 is < 4
Corresponding <1 is <5
Alternate interior angle <1 is <8

Multiple Choice

What is the equation of the line that contains the point (4,5) and is parallel to line

$y=-\frac{2}{3}x+\frac{7}{3}$

$y=\frac{3}{2}x-\frac{23}{3}$

$y=-\frac{3}{2}x+\frac{23}{3}$

$y=-\frac{2}{3}x+\frac{23}{3}$

$y=-\frac{2}{3}x-\frac{23}{3}$

$y=-\frac{2}{3}x+\frac{7}{3}$ Write a parallel equation that passes through (4,5)

parallel slope $-\frac{2}{3}$ subsitute 4 and 5 into y=mx+b
$5=-\frac{2}{3}\left(4\right)+b$
$5=-\frac{8}{3}+b$ add 8/3 to 5
$b=\frac{23}{3}$
rewrite equations $y=-\frac{2}{3}x+\frac{23}{3}$

Fill in the Blanks

If the measure of angle 5 is 120 and the measure of angle 4 is represented by (4x+20). What is the value of x?

Type answer...

If the measure of angle 5 is 120 and the measure of angle 4 is represented by (4x+20). What is the value of x?
angles 4 and 5 are alternate interior angles which are congruent
4x+20=120 (subtract 20 on both sides)
4x=100 (divide 4 on both sides)
x=25

Unit 3 Review

I can review parallel and perpendicular lines to prepare for my test

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