Math Problem Statement

Choose the equation of the line that represents the reflection between the following congruent triangles.

Solution

To determine the equation of the line that represents the reflection between the two congruent triangles in the image, we need to examine the line of symmetry.

Observing the two triangles, we see that they are mirrored across the yy-axis. The points on the left triangle (A, B, D) correspond to points on the right triangle (H, J, G), and the reflection line appears to be the vertical line x=0x = 0.

Thus, the equation of the line that reflects the two triangles is:

Answer: B. y=0y = 0

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Math Problem Analysis

Mathematical Concepts

Geometry
Reflection Symmetry
Coordinate Geometry

Formulas

Equation of a line

Theorems

Reflection across a line of symmetry

Suitable Grade Level

Grades 8-10