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Unit One Test (Transparallellines)

Name:_____________________________________________ Date:________________________

1. The coordinate grid shows the intersection of line 1 and line 2.

Which transformations on lines 1 and 2 will result in a pair of lines intersecting at the same angle measurements as

those formed by the intersection of line 1 and line 2?

A. The reflection of line 1 over the x -axis and the translation of line 2 four units up.

B. The reflection of line 1 over the x -axis and the translation of line 2 four units to the left.

C. The reflection of line 1 over the x -axis and the reflection of line 2 over the line

D. The reflection of line 1 over the x -axis and the reflection of line 2 over the line

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Unit One Test (Transparallellines)

2. Lines m and n are graphed on the coordinate grid shown.

Part A

Lines m and n are translated 4 units down and 8 units left. Sketch a graph to represent the new location of lines m and

n . Label the new location of line m as line e and the new location of line n as line f .

Part B

Lines m and n are reflected across the x -axis. Explain the effect this reflection has on the lines. Has the distance

between the lines changed?

Part C

Are the lines m and n parallel, perpendicular, or intersecting lines? Describe what happens to the lines after a

clockwise rotation of 90? is applied to the lines.

Be sure to complete ALL parts of the task.

Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

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Unit One Test (Transparallellines)

3. Right triangle JKL is graphed on a coordinate grid.

Part A

If the triangle is reflected across the y -axis, what would be the vertices of the reflected triangle? Label the new

vertices as and

Part B

What are the lengths of line segments JK and KL ?

Part C

What is the length of line segment Show your work.

Part D

What is the relationship of triangles JKL and Explain your answer.

Be sure to complete ALL parts of the task.

Write your answer and show your work on the paper provided.

Do NOT type your answer in the text box below.

________________________________________________________________________

________________________________________________________________________

________________________________________________________________________

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How to reflect across a line? Reflections in coordinate geometry x-axis reflection. A reflection across the x-axis changes the position of the y-coordinate of all the points in a figure such that (x, y) becomes (x , -y). y-axis reflection. A reflection across the y-axis changes the position of the x-coordinate of all the points in a figure such that (x, y) becomes (-x, y). Reflections across the line y = x. ...

Title: Unit One Test (Transparallellines)

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