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

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:

## 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:

## 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:

## Question 15 (5 points)

Find the missing measure in the triangle. A = 94°, B = 54°, C = x° Question 15 options:

## 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: