Start here

You did these with your group. Now do them on your own — the model above is yours to copy.

1. 1

   Same stepsFinish what the group started. Use the model above, step for step.

   Let's try together: Now let's reflect (4, -5) over the x-axis. Which coordinate changes over the x-axis? The y-coordinate. What does -5 become when it changes sign? It becomes 5. The x stays 4, so the reflection is what point? It is (4, 5).

   My first step is ___ , because the problem asks for ___ .

   Show your work
2. 2

   Warm restartIn which quadrant is the point (−4, 5)?

   1. AQuadrant II
   2. BQuadrant I
   3. CQuadrant III
   4. DQuadrant IV
3. 3

   Warm restartWhich point lies ON the y-axis?

   1. A(0, 3)
   2. B(3, 0)
   3. C(3, 3)
   4. D(−3, 1)
4. 4

   Warm restartWhat are the coordinates of the origin?

   1. A(0, 0)
   2. B(1, 1)
   3. C(0, 1)
   4. D(1, 0)

You answered these out loud. Now write them.

Answer, then say how you know — the reason is the part that counts.

1. 5

   Think it throughWhere is the ship after reflecting (3, 2) over the y-axis?

   1. A(−3, 2)
   2. B(3, −2)
   3. C(−3, −2)
   4. D(2, 3)

   Why is that the answer?

   I chose ___ because ___ .
2. 6

   Think it throughWhere is the ship after reflecting (3, 2) over the x-axis?

   1. A(3, −2)
   2. B(−3, 2)
   3. C(−3, −2)
   4. D(2, 3)

   How do you know?

   I chose ___ because ___ .
3. 7

   Think it throughReflecting over the y-axis changes which coordinate?

   1. AOnly the x-coordinate
   2. BOnly the y-coordinate
   3. CBoth coordinates
   4. DNeither coordinate

   Explain your thinking.

   I chose ___ because ___ .
4. 8

   Back to the modelWhat pattern do you notice about the coordinates when reflecting over the x-axis versus the y-axis?

   When I reflect over the x-axis, the ___ -coordinate changes sign and the ___ -coordinate stays the same. When I reflect over the y-axis, the ___ -coordinate changes sign and the ___ -coordinate stays the same.

Use the words

Fill each blank with a word from the bank.

• Reflecting across an axis keeps that coordinate and flips the ___ one.
• A flip of a point or shape over an axis to make a mirror image is a ___.
• The horizontal number line on the coordinate plane is the ___.
• The vertical number line on the coordinate plane is the ___.

Explain the thinking

1. 9

   Find the mistakeAnother student made this exact mistake in this lesson. Explain why it is wrong, then write what they should have done.

   The mistake: A common mistake in Reflect Points Across Axes is flipping the sign of the wrong coordinate — changing the x-coordinate when reflecting over the x-axis, instead of the y-coordinate (or vice versa for the y-axis).
2. 10

   Say moreReflect (4, -5) over the x-axis. Talk through how the coordinates change and where the new point lands.

   Over the x-axis, the ___ coordinate flips sign.
3. 11

   Change one numberGo back to Part 1 and pick one problem you already solved. Change one number in it, then solve your new version. Show every step.

   If ___ changed to ___ , then ___ .

   Show your work

Last check

These two come from Lesson 7.8. If they are shaky, that is the lesson to revisit — not this one.

1. 12

   Show what you knowQuick check — you've got this: What is the reflection of (-5, 2) over the y-axis?

   1. A(-5, -2)
   2. B(5, -2)
   3. C(5, 2)
   4. D(2, -5)

   Explain your choice.

   I know it is ___ because ___ .
2. 13

   From Lesson 7.8Quick check — you've got this: A point has a negative x-coordinate and a negative y-coordinate. Which quadrant is it in?

   1. AQuadrant I
   2. BQuadrant II
   3. CQuadrant III
   4. DQuadrant IV
3. 14

   From Lesson 7.8Which location is in Quadrant III?

   1. AThe hospital (−4, −1)
   2. BThe school (2, 3)
   3. CThe library (−3, 4)
   4. DCity Hall (0, 0)

Be honest — this tells your teacher what to do next