Secondary 1 Chapter 12 Review
Name: ________________________________ Period: _______________
1.
Determine the distance between the points (5,12) and (-1,6)
2.
Mari draws line segment AB on a coordinate plane. The coordinates of A are (1,5) and B are (-3,2). She
translates the line segment 5 units to the left. She name this line segment A’B’.
a. Identify the coordinate of A’ and B’
b.
Describe how a horizontal translation changes the coordinate of the endpoints.
c.
How does the length of the image compare with the length of the pre-image?
3.
Find the midpoint of a line segment with the endpoints (-2,-1) and (6,3)
4.
Find the other endpoint of the line segment with (-5,6) as an endpoint and (-2,13) as the midpoint.
5.
Michelle bisected the line segment GH. She labeled the midpoint M. If the measure of GM is 7.5, what is
the measure of GH and MH?
6.
Mike bisected angle GHI and labeled a point on the angle bisector J. If the measure of angle GHI is 102
degrees. What is the measure of angle GHJ?
7.
John draws an angle BAC on a coordinate plane. The coordinate of B are (2,4), A are (5,-3) and C are (7,5).
He translates the angle 4 units down and names the angle B’A’C’.
a. Identify the coordinate of B’, A’ and C’
b.
Describe how a vertical translation changes the coordinate of the endpoints.
c.
How does the length of the image compare with the length of the pre-image?
8.
Determine if the lines are parallel, perpendicular, or neither. Explain your reasoning.
a. 3𝑥 + 𝑦 = 6 and 𝑦 = 3𝑥 − 2
b.
𝑥 + 3𝑦 = 36 and −3𝑦 = 𝑥 + 45
c.
𝑦 = 4𝑥 − 9 and 𝑥 + 4𝑦 = 40
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9. The equation of line m is 𝑦 = 3 𝑥 + 2
a.
Write the equation of a line that is parallel to line m going through the point (1,3) in slope intercept
form (𝑦 = 𝑚𝑥 + 𝑏)
b.
Write the equation on a line that is perpendicular to the line m going through the point (-1,-3) in
slope intercept form (𝑦 = 𝑚𝑥 + 𝑏)
10. What is the vertical line that goes the point (-2,6)?
b. What is the slope of the vertical line?
11. What is the horizontal line that goes through the point (6, 4)?
b. What is the slope of the horizontal line?
12. What is the relationship between a vertical line and a horizontal line?
13. Construction
a. Construct a line segment twice the length of line segment CD.
b.
Construct the midpoint of line segment GH and label it M.
c.
Duplicate <D
d.
Construct an angle that is one-fourth the measure of <F
e.
Construct a line that is perpendicular to line YZ and passes through point G.
f.
Construct a line that is parallel to line DE and passes through point F.
g.
Construct an equilateral triangle with the given length as one of the sides.
h.
Construct a square. The perimeter of the square is given.