Distance and Reflections in Coordinate Planes

What is the reflection of C (0,-4) over the x-axis?

• C' (-0, 4)

• C' (4, 0)

• C' (0, 4)

• C' (-4, 0)

What coordinates would you use to find the distance between these two points?

• y-coordinates

• the first ordered pair

• x-coordinates

• the second ordered pair

In the coordinate plane, point A is reflected across the y-axis to create point B, and point C is reflected across the y-axis to create point D. What is the ordered pair for each point? Write your answers in the blanks.

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Kara plots points L and M in the coordinate plane. The x-coordinate of point L is the opposite of the x-coordinate of point M. The y-coordinate of point L is the opposite of the y-coordinate of point M. Which statements are true about the points? Choose all the correct answers.

• The points are on opposite sides of the x-axis.

• The points are in Quadrant I and Quadrant IV.

• The points are the same distance from the y-axis.

• The points are located on the same horizontal line.

• The points are reflections of each other across the x-axis.

Evangeline walks from the bus stop to the library along the route shown. Distances in the coordinate plane are in city blocks. How many city blocks does Evangeline walk from the bus stop to the library? Show your work.

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The coordinate plane shows the location of several places in a park. Distances in the coordinate plane are in yards. Decide if each statement is true or false. Choose True or False for each statement. c. The distance in yards between the slide and the fountain is equal to |−600| − |−300|.

• True

• False

The coordinate plane shows the location of several places in a park. Distances in the coordinate plane are in yards. Decide if each statement is true or false. Choose True or False for each statement. a. The distance between the statue and the fountain is 300 yards.

• True

• False

The coordinate plane shows the location of several places in a park. Distances in the coordinate plane are in yards. Decide if each statement is true or false. Choose True or False for each statement. b. The distance in yards between the fountain and the grill is equal to |200| + |−300|.

• True

• False

The coordinate plane shows the location of several places in a park. Distances in the coordinate plane are in yards. Decide if each statement is true or false. Choose True or False for each statement. d. The distance from the statue to the slide is greater than the distance from the bench to the grill.

• True

• False

Which point is located at a distance of 5 horizontal units from Point E?

• Point A

• Point B

• Point C

• Point D