Question

use the figure below to complete parts (a) through (d).

(a) find the image of p under the reflection with axis \\(l_1\\).
the point c is the reflection of p across axis \\(l_1\\).

(b) find the image of p under the reflection with axis \\(l_2\\).
the point is the reflection of p across axis \\(l_2\\).

Explanation:

Identify the coordinate system and point P

Using the Symmetry Axes knowledge point, we establish a coordinate system. Let the intersection of the main axes \(L_1\) (horizontal) and \(L_2\) (vertical) be the origin \((0,0)\).

• Each grid square represents 1 unit.
• The horizontal axis is \(L_1\).
• The vertical axis is \(L_2\).
• Point \(P\) is located at coordinates \((4, 5)\).

Find the reflection of P across L1

Using the Geometric Reflections knowledge point
Using the Geometric Reflections and Symmetry Axes knowledge points

$$
LATEXBLOCK0
$$

Looking at the grid, the point at \((4, -5)\) is labeled \(C\).

Find the reflection of P across L2

Using the Geometric Reflections knowledge point
Using the Geometric Reflections and Symmetry Axes knowledge points

$$
LATEXBLOCK1
$$

Looking at the grid, the point at \((-4, 5)\) is labeled \(F\).

Answer:

Question 1

(a) Find the image of P under the reflection with axis \(L_1\).

The point <blank>C</blank> is the reflection of P across axis \(L_1\).

Question 2

(b) Find the image of P under the reflection with axis \(L_2\).

The point <blank>F</blank> is the reflection of P across axis \(L_2\).