pre algebra 3

Question 1 (5 points)

Find the coordinates of the vertices of each figure after a reflection over the given axis.

triangle
ABC with vertices
A(–8, 5),
B(–7, –6), and
C(3, 4);
x-axis

Question 1 options:

	A´(–8, –5), B´(–7, 6), C´(3, –4)
	A´(–8, –5), B´(6, –7), C´(–3, –4)
	A´(5, –8), B´(–6, –7), C´(4, 3)
	A´(8, 5), B´(7, –6), C´(–3, 4)

Question 2 (5 points)

Draw an obtuse isosceles triangle.

Question 2 options:

Question 3 (5 points)

Draw a right isosceles triangle.

Question 3 options:

Question 4 (5 points)

A triangle has the vertices A(–7, 8), B(1, –7), and C(7, 6). After a dilation, the vertices of the image are A’(–28, 32), B’(4, –28), and C’(28, 24). What is the scale factor of the dilation?

Question 4 options:

	4
	8
	2

Question 5 (5 points)

Determine if the two figures are similar by using transformations.

Question 5 options:

	The figures are similar because a reflection followed by a dilation will map figure ABCD onto figure MNPQ.
	The figures are similar because a rotation followed by a dilation will map figure ABCD onto figure MNPQ.
	The figures are similar because a translation followed by a dilation will map figure ABCD onto figure MNPQ.
	The figures are not similar. The ratios of the side lengths are not equal.

Question 6 (5 points)

Find the coordinates of the vertices of the figure after a reflection over the given axis. Then graph the reflection image.

x-axis

Question 6 options:

Question 7 (5 points)

Refer to the figure below.

If
m
, what is the measure of an angle that is complementary to
?

Question 7 options:

	180
	75
	90
	15

Question 8 (5 points)

Classify the polygon. Then determine whether it appears to be regular or not regular.

Question 8 options:

	heptagon; regular
	octagon; regular
	nonagon; not regular
	octagon; not regular

Question 9 (5 points)

The measures of the angles of a triangle are shown below. Find the value of x.

79°, 70°, x°

Question 9 options:

	149
	41
	31
	180

Question 10 (5 points)

Find the coordinates of the image’s vertices.

A triangle with vertices
L(–1, 5),
M(–1, 7), and
N(–8, 5) is rotated 270
counterclockwise about the origin.

Question 10 options:

	L’(–5, 1), M’(–7, 1), and N’(–5, 8)
	L’(1, 5), M’(1, 7), and N’(8, 5)
	L’(5, 1), M’(7, 1), and N’(5, 8)
	L’(5, –1), M’(7, –1), and N’(5, –8)

Question 11 (5 points)

Copy parallelogram ABCD.

Rotate the parallelogram
clockwise about point
Q.

Question 11 options:

Question 12 (5 points)

Draw an obtuse scalene triangle.

Question 12 options:

Question 13 (5 points)

Determine the scale factor for each dilation. Determine whether the dilation is an enlargement, reduction, or congruence transformation.

Question 13 options:

	2; enlargement
	2; reduction
	; enlargement
	; reduction

Question 14 (5 points)

Use the terms vertical angles, adjacent angles, complementary angles, or supplementary angles to describe angles 1 and 2 in as many ways as possible.

Question 14 options:

	adjacent angles
	vertical angles
	adjacent angles; supplementary
	adjacent angles; complementary

Question 15 (5 points)

Find the missing measure in the triangle.

A = 94°, B = 54°, C = x°

Question 15 options:

	32
	180
	328
	148

Question 16 (5 points)

Draw an acute equilateral triangle.

Question 16 options:

Question 17 (5 points)

Classify the polygon. Then determine whether it appears to be regular or not regular.

Question 17 options:

	stargon; regular
	hexagon; not regular
	pentagon; not regular
	pentagon; regular

Question 18 (5 points)

Use the terms vertical angles, adjacent angles, complementary angles, or supplementary angles to describe angles 1 and 2 in as many ways as possible.

Question 18 options:

	adjacent angles
	vertical angles
	adjacent angles; supplementary angles
	vertical angles; supplementary angles

Question 19 (5 points)

Classify the polygon. Then determine whether it appears to be regular or not regular.

Question 19 options:

	hexagon; not regular
	heptagon; not regular
	hexagon; regular
	pentagon; regular

Question 20 (5 points)

Find the value of x in the figure.

Question 20 options:

	90
	85
	5
	95

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