Chapter 12 Pre-Test
Name:__________________ Period:_____
Find the missing side of the right triangle:
4”
1)
2)
7”
3)
8 in
13 cm
12 cm
3 in
Find the distance between the points:
4) A(2,6) and B(5,10)
5) C(-2,-5) and D(3,-1)
6) E(3,0) and F(-4,-2)
Find the midpoint between each pair of points:
7) G(3,8) and H(7,2)
8) I(-3,4) and J(-7,-5)
9) K(0,-6) and L(9,3)
10) Use the coordinate plane provided. One unit represents one kilometer.
Joe’s house is located at point H(-8,7).
His cat wandered away from home.
Joe received a phone call that the cat
was found at a location described by
point F(9, -6).
a)
How far did the dog wander from home?
b)
The person who found the cat can meet
Joe at the midpoint between H and F.
At what coordinates will they meet?
Determine whether the lines are parallel or perpendicular or neither. Explain why.
1
11) 𝑦 = 𝑥 + 5 & 𝑦 = −2𝑥 + 5
2
2
1
3
7
13) 𝑦 = − 𝑥 +
& 𝑦=
15) 𝑥 = 4 & 𝑥 = −3
2
−3
𝑥+4
3
3
4
4
12) 𝑦 = 𝑥 + 1 & 𝑦 = − 𝑥 − 6
14) 3𝑦 = 6𝑥 − 18 & 4𝑦 = −2𝑥 + 5
16) 𝑦 = 5 & 𝑥 = −1
17) a) Write an equation of the line:
b) Write an equation of the line parallel to the given
line, through the given point.
c) Write an equation of the line perpendicular to the
given line, through the given point.
Determine whether the lines are parallel or perpendicular or neither. Then graph.
18) 𝑦 = 7𝑥 + 2 & 2𝑦 = 14𝑥 − 6
5
−3
3
5
19) 𝑦 = 𝑥 − 3 & 𝑦 =
𝑥+1
20) Is the line through the points M(-2,4) and N(2,7) parallel, perpendicular, or neither to the
line through the points O(1,3) and P(4,-1)? Explain.
Write an equation in Point-Slope Form for the line through the point with the given slope.
21) (3,4) 𝑚 = 5
Write an equation in Point-Slope Form for the line through the point with the given slope.
Then rewrite the equation in Slope-Intercept Form
2
22) (2,-1) 𝑚 = −3
23) (-6,2) 𝑚 = −
3
Write an equation in Point-Slope Form for the line through the 2 points.
24) (2,5) & (4,8)
Write an equation in point-slope form for the line that is parallel to the given line and passes
through the given point. Then rewrite the equation in slope-intercept form.
(25) (−4, 5) ; 𝑦 = 5𝑥 + 10
(26) (5, 7) ; 𝑦 = −2𝑥 + 1
Write an equation in point-slope form for the line that is perpendicular to the given line and
passes through the given point. Then rewrite the equation in slope-intercept form.
1
1
(27) (−3, −5) ; 𝑦 = 𝑥 + 1
(28) (−2, 5) ; 𝑦 = − 𝑥 + 1
6
4
29) Draw ∆𝐴𝐵𝐶 given A(-2,1), B(4,-3), and C(4,5). Then transform the triangle through a
vertical translation of 4 and a horizontal translation of -3. Give the coordinates of the
transformed triangle.
Without graphing, determine the new coordinates of the given lines by following the given
translations. Briefly describe how to find the new coordinates.
Points: 𝐴: (4, −6) 𝐵: (3,2) 𝐶: (−7,0)
𝐷: (5,5) 𝐸: (−3, −8)
30) ∠𝐴𝐵𝐶 translated up 5 units
and left 6 units.
31) 𝐷𝐸 translated down 4 units
and right 7 units.
Simplify each expression
32) 3 − 2(4 − 3 ∙ 2) − 23
33)
Solve for x.
35) 3𝑥 − 2 − 5𝑥 = 2 − (4𝑥 − 6)
36)
2
3
2
7
−
=
4
5
𝑥
5
34)
12 24
∙
18 15
÷
16
25
37) 5𝑥 − 3𝑦 = 24