Chapter 1 PreTest
Find the missing side of the right triangle:
9”
1)
2)
3)
12”
7 in
10 cm
8 cm
2 in
Find the distance between the points:
4) A(2,6) and B(5,10)
5) C(-2,-5) and D(3,-1)
7) C(3,8) and D(7,2)
6) E(5,0) and F(-4,-2)
8) E(-3,4) and F(-7,-5)
Find the midpoint between each pair of points:
9) G(3,8) and H(7,2)
10) I(-3,4) and J(-7,-5)
12) C(-2,6) and D(5,10)
11) K(0,-6) and L(9,3)
13) E(3,0) and F(-4,-2)
14) Use the coordinate plane provided. One unit represents one kilometer.
Joe’s house is located at point H(-9,7).
His cat wandered away from home.
Joe received a phone call that the cat
was found at a location described by
point F(8, -6).
a)
How far did the cat 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?
Identify and list all Point(s), Line(s), Segment(s), Ray(s) and Plane(s) as they are drawn.
E
15)
16)
17)
Sketch and label each of the following figures as they are described.
̅̅̅̅
18) Points A, B, and C are collinear so that point B is between points A and C. B is the Mid Point of 𝐴𝐶
19) ⃡𝐽𝐾 is perpendicular to 𝑍𝐹 and intersect and Point W
In each of the following figures the dashed line bisects the given line or angle. Solve for x.
20)
21)
𝑥−7
4𝑥 − 13
𝑥° 48°
Determine whether the lines are parallel or perpendicular or neither. Explain why.
22) 𝑦 = 2𝑥 + 5 & 𝑦 = −2𝑥 + 5
2
1
3
7
24) 𝑦 = − 𝑥 +
3
& 𝑦 = 𝑥+4
2
3
3
4
4
23) 𝑦 = 𝑥 + 1 & 𝑦 = 𝑥 − 6
25) 𝑥 = 4 & 𝑦 = −3
26) 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.
27) 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.
28) 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.
Simplify.
29) 3 − 2 ∙ (4 − 3 ∙ 2) + 23
30)
31) 2 ∙ (6 ÷ 3) + (−3)2
32)
2
3
2
8
−
÷
4
5
6
5
Solve for x.
2
34)
35) 5𝑥 − 3𝑦 = 24
36) −2(5𝑥 + 1) = −2(3𝑥 − 2)
7
=
𝑥
33) 5𝑥 = 8 − 2(4𝑥 − 6)
5
37) Draw the selected point of concurrency for each of the triangles.
a)
Incenter
c)
Centroid
b)
d)
Orthocenter
Circumcenter