6.NOS.7 Lesson 7-9-part2 Apply Day · Set B
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7.9 · Part II

Second Practice Form · Independent Application and Spiral Review

Reflect Points Across Axes · Reflection

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 7.9 · Part II
1Reflections Across Axes
2The Structural Procedure
  1. Reflection across x-axis (horizontal line): y-coordinate changes sign, x stays same
  2. Reflection across y-axis (vertical line): x-coordinate changes sign, y stays same
  3. Both coordinates change sign when reflecting across both axes: (−x, −y)
3Mathematical Word Bank
  • Reflect Points Across Axes (Reflejar puntos sobre los ejes) — Flip a point across an axis so it stays the same perpendicular distance from that axis.
  • Reflection (Reflexión) — A flipped, mirror image across a line.
  • x-axis (Eje x) — The line that goes across the grid. Flipping over it changes the y sign.
  • y-axis (Eje y) — The line that goes up the grid. Flipping over it changes the x sign.
  • Symmetry (Simetría) — When a shape looks the same on both sides of a line.
  • Integer (Número entero) — Whole numbers and their opposites, like -2, -1, 0, 1, 2.
4Watch out
  • 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). For example, to reflect (3, -5) over the x-axis, a student might flip the x-coordinate and write (-3, -5), but reflecting over the x-axis only changes the sign of the y-coordinate: (3, -5) becomes (3, 5). Before you submit, ask: 'Did I flip the sign of the coordinate that matches the axis I'm reflecting over — y for the x-axis, x for the y-axis?'
SECTION 1 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 1 MULTIPLE CHOICE

    (Lesson 7.5) What are the coordinates of the origin?

    1. A(0, 0)
    2. B(1, 1)
    3. C(0, 1)
    4. D(1, 0)
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    (Lesson 7.6) What is the distance between (-4, 3) and (2, 3)?

    1. A2 units
    2. B4 units
    3. C6 units
    4. D8 units
    ✏️ Workspace & Solution Steps
  3. 3 MULTIPLE CHOICE

    Vega reflects a palm-tree marker at (8, -6) across the x-axis. Which coordinate changes its sign?

    1. AThe y-coordinate
    2. BThe x-coordinate
    3. CBoth coordinates
    4. DNeither coordinate
    ✏️ Workspace & Solution Steps
  4. 4 MULTIPLE CHOICE

    What is the reflection of (4, -3) over the x-axis?

    1. A(-4, -3)
    2. B(4, 3)
    3. C(-4, 3)
    4. D(3, -4)
    ✏️ Workspace & Solution Steps
  5. 5 MULTIPLE CHOICE

    What is the reflection of (-2, 6) over the y-axis?

    1. A(2, 6)
    2. B(-2, -6)
    3. C(2, -6)
    4. D(6, -2)
    ✏️ Workspace & Solution Steps
  6. 6 MULTIPLE CHOICE

    Which point is on the y-axis?

    1. A(0, 5)
    2. B(5, 0)
    3. C(3, 3)
    4. D(-2, 4)
    ✏️ Workspace & Solution Steps
SECTION 2 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    A triangle has vertices at A(1, 2), B(4, 2), and C(4, 6). If you reflect the entire triangle over the y-axis, what are the new vertices? What do you notice about the size and shape of the reflected triangle compared to the original?

    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It