Questions: Draw the reflection of the following triangle over the line p.

Transcript text: QUESTION Draw the reflection of the following triangle over the line $p$.

Solution

Solution Steps

Step 1: Identify the Line of Reflection

The line of reflection is given as line $ p $, which is the x-axis (y = 0).

Step 2: Determine the Coordinates of the Triangle's Vertices

Identify the coordinates of the vertices of the triangle. Let's assume the vertices are $ A(x_1, y_1) $, $ B(x_2, y_2) $, and $ C(x_3, y_3) $.

Step 3: Reflect Each Vertex Over the Line $ p $

To reflect a point over the x-axis, you change the sign of the y-coordinate. Therefore, the reflected points will be:

$ A' = (x_1, -y_1) $
$ B' = (x_2, -y_2) $
$ C' = (x_3, -y_3) $

Final Answer

Plot the reflected points $ A' $, $ B' $, and $ C' $ on the graph and connect them to form the reflected triangle. The new triangle will be a mirror image of the original triangle over the x-axis.

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