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Semester 1 Review Unit 3
Indicate the answer choice that best completes the statement or answers the question.
1. The vertices of JKL are J(–1, 4), K( , –5), and L( 2). The triangle is reflected over the line y x. Graph JKL and
J'K'L'.
a.
b.
c.
d.
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Semester 1 Review Unit 3
Graph the equation.
2.
a.
b.
c.
d.
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Semester 1 Review Unit 3
3.
a.
b.
c.
d.
Determine the slope of the line that contains the given points.
4. T(6, 2), V(8, 8)
a.
b.
c. 3
d. 0
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Semester 1 Review Unit 3
5. Graph the image of the figure after a rotation of 90° counterclockwise.
a.
b.
c.
d.
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Semester 1 Review Unit 3
Graph the image of the figure after a dilation centered at the origin with the given scale factor.
6. X(4, 3), Y(–2, –3), and Z(–2, 5); scale factor 3
a.
b.
c.
d.
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Semester 1 Review Unit 3
7. Find the image of the figure after a dilation with point A as the center by a scale factor of 0.5.
a.
b.
c.
d.
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Semester 1 Review Unit 3
Determine whether a figure with the given vertices is a parallelogram. Use the method indicated.
8. A(4, –7), B(–4, –10), C(–4, –3), D(–3, 10); Slope Formula
a. No; The opposite sides do not have the same slope.
b. Yes; Opposite sides are not the same length.
c. Yes; The opposite sides do not have the same slope.
d. No; Opposite sides are not the same length.
9. A(7, 6), B(5, 4), C(2, 7), D(4, 9); Midpoint Formula
a. No; The diagonals have the same midpoint.
b. Yes; The diagonals have the same midpoint.
c. Yes; The opposite sides are congruent and have the same slope.
d. No; The opposite sides are congruent and have the same slope.
Find the coordinates of the reflected image.
10. A triangle with vertices F(–4, 8), G(–2, 4), and H(–8, 5) is reflected over the x-axis.
a. F’(–4, 8), G’(–2, 4), and H’(–8, 5)
b. F’(–8, –4), G’(–4, –2), and H’(–5, –8)
c. F’(–4, –8), G’(–2, –4), and H’(–8, –5)
d. F’(4, –8), G’(2, –4), and H’(8, –5)
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Semester 1 Review Unit 3
Use the Distance Formula to find the distance between each pair of points.
11.
a. 6
b.
c.
d. 5
a.
b. 0.5
c. 8
d.
12.
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Semester 1 Review Unit 3
Find the coordinates of the vertices of each figure after the translation described.
13. triangle ABC with vertices A(–4, 7), B(5, 6), and C(–6, 1) translated 7 units down and 3 units right
a. A´(–1, 0), B´(2, –1), C´(–3, 8)
b. A´(–1, 0), B´(8, –1), C´(–3, –6)
c. A´(–7, 14), B´(2, 13), C´(–9, 8)
d. A´(–7, 0), B´(2, –1), C´(–9, –6)
Find the endpoints of the image of
14. Reflect
.
over the x-axis and rotate
a. A”(–1, –2), B”(–5, –1)
c. A”(–1, 5), B”(–2, 1)
counterclockwise about the origin.
b. A”(1, –2), B”(5, –1)
d. A”(–1, 2), B”(–5, 1)
15. Write an equation for a circle with center at (–8, –9) and diameter 6.
a. (x – 8)2 + (y – 9)2 = 9
b. (x – 8)2 + (y – 9)2 = 36
c. (x + 8)2 + (y + 9)2 = 36
d. (x + 8)2 + (y + 9)2 = 9
Find the coordinates of the midpoint of a segment having the given endpoints.
16. Q(1, –10), R(–6, 8)
a. (–4.5, 1)
b. (–2.5, –1)
c. (7, –18)
d. (3.5, –9)
Name:
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Semester 1 Review Unit 3
Find the coordinates of the vertices of the figure after a reflection over the given axis. Then graph the reflection image.
17. y-axis
a.
b.
c.
d.