I need an explanation for this Algebra question to help me study.

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

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Question 2 (5 points)

Draw an obtuse isosceles triangle.

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Question 3 (5 points)

Draw a right isosceles triangle.

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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?

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Question 5 (5 points)

Determine if the two figures are similar by using transformations.

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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

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Question 7 (5 points)

Refer to the figure below.

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

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Question 8 (5 points)

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

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Question 9 (5 points)

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

79°, 70°, x°

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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.

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Question 11 (5 points)

Copy parallelogram ABCD.

Rotate the parallelogram
clockwise about point
Q.

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Question 12 (5 points)

Draw an obtuse scalene triangle.

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Question 13 (5 points)

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

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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.

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Question 15 (5 points)

Find the missing measure in the triangle.

A = 94°, B = 54°, C = x°

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Question 16 (5 points)

Draw an acute equilateral triangle.

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Question 17 (5 points)

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

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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.

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Question 19 (5 points)

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

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Question 20 (5 points)

Find the value of x in the figure.

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