Question

3.03 reflection practice assignment
print this document (or use the drawing tools) and reflect each
shape on the coordinate plane. label the new points
appropriately as a, b, c, etc.

1. reflect

the
trapezoid
over the x-
axis.
ordered pairs: a = ____ b = __ c = ____
d = ______
ordered pairs: a = ____ b = __ c = ____
d = ______
rule for reflecting over the x-axis: _______________

Explanation:

Step1: Find Original Coordinates

First, identify the coordinates of each point from the graph. Let's assume the grid has each square as 1 unit.

• Point A: Looking at the graph, A is at (3, -2) (since it's 3 units right on x-axis and 2 units down on y-axis).
• Point B: B is at (5, -2) (5 units right, 2 units down).
• Point C: C is at (8, -4) (8 units right, 4 units down).
• Point D: D is at (0, -4) (0 units right, 4 units down).

Step2: Reflect Over x - axis

The rule for reflecting a point \((x,y)\) over the x - axis is \((x, -y)\). So we apply this rule to each point:

• For A\((3, -2)\): Using the rule \((x,y)\to(x, -y)\), we get A'\((3, 2)\) (since \(-(-2)=2\)).
• For B\((5, -2)\): Applying the rule, B'\((5, 2)\) (since \(-(-2)=2\)).
• For C\((8, -4)\): Applying the rule, C'\((8, 4)\) (since \(-(-4)=4\)).
• For D\((0, -4)\): Applying the rule, D'\((0, 4)\) (since \(-(-4)=4\)).

Step3: State the Reflection Rule

The rule for reflecting over the x - axis is that the x - coordinate remains the same and the y - coordinate changes its sign, i.e., \((x,y)\to(x, -y)\).

Answer:

Ordered Pairs: A = \((3, -2)\) B = \((5, -2)\) C = \((8, -4)\) D = \((0, -4)\)
Ordered Pairs: A' = \((3, 2)\) B' = \((5, 2)\) C' = \((8, 4)\) D' = \((0, 4)\)
Rule for reflecting over the x - axis: \((x,y)\to(x, -y)\) (or "The x - coordinate stays the same, the y - coordinate is multiplied by - 1")