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Laabri

Semester 2 Final Study Guide (Due 6/5/23)

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40 Nsɛmmisa

Day 1 6/1/23

Main Idea: Solving Systems of Equations by Graphing

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Main Idea: Solving Systems of Equations Based on Real-World Situations

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Day 2 6/2/23

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Translations

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Translation with Vectors Due (2/28/23)

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Main Idea: Reflections

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Slope-Intercept Form

Slope (m)

y-intercept (b)

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Directions: Solve each system of equations by graphing.

Type the solution in coordinate form - (x,y)

(Do not use spaces when you enter the coordinates)

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

The slope of a line is the ratio of . Another name for slope is

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Finish the rule for a transformation that translates 2 units up and 3 units left.

(x,y) →

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Which of the following shows the rule in coordinate notation for the translation above?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Write the translation rule in coordinate notation for the above image. (You can copy and paste the following notation)

(x,y) →

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

C'

D'

E'

Protip: Transform the points first then graph them.

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Graph and label each figure and its image under the given translation. Identify the coordinates of the image. Use coordinate form and your answer should have no spaces.

W'

X'

Y'

Z'

Protip: Transform the points first then graph them.

Translations with Vectors

Video

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Describe the translation that maps each preimage to its image as a vector in component form. No Spaces

Asemmisa {{asɛmmisaAhyɛnsode}}
26.

△ABC has coordinates of A(0,4), B(-3,4), and C(-3, -1). What are the new coordinates of △ABC when the figure is moved 3 units left and 1 unit up?

A'

B'

C'

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

Which graph show the x-axis as the line of reflection?

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

Which graph show the y-axis as the line of reflection?

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

Which graph show the y=x as the line of reflection?

Asemmisa {{asɛmmisaAhyɛnsode}}
30.

Which graph shows the line, y= - x as the line of reflection?

Reflections

Asemmisa {{asɛmmisaAhyɛnsode}}
31.

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

W'

X'

Y'

Z'

Asemmisa {{asɛmmisaAhyɛnsode}}
32.

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

B'

C'

D'

E'

Asemmisa {{asɛmmisaAhyɛnsode}}
33.

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

F'

G'

H'

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

Graph and label each figure and its image under a reflection in the given line. Give the coordinates of the image. Be sure your answer is in coordinate form (x,y). No spaces

Protip: Transform the points first then graph them.

M'

N'

O'

P'

Rotations

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

Give each rule for counterclockwise rotations about the origin:

90⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
36.

Graph and label each figure and its image under the given rotation.

Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

S'

T'

U'

V'

Asemmisa {{asɛmmisaAhyɛnsode}}
37.

Give each rule for counterclockwise rotations about the origin:

180⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
38.

Graph and label each figure and its image under the given rotation.

Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

A'

B'

C'

D'

Asemmisa {{asɛmmisaAhyɛnsode}}
39.

Give each rule for counterclockwise rotations about the origin:

270⁰ rotation counter clockwise (x, y) →________

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

Graph and label each figure and its image under the given rotation.

Identify the coordinates of the image. (Be sure to use parenthesis in your answer.)

F'

G'

H'