**Transcription for Educational Website**---**Title: Understanding Graphical Transformations****Introduction:**Consider the figures shown on the graph.**Description and Analysis:**The graph displays two triangular figures plotted on a coordinate plane. The plane is divided into four quadrants by the x-axis and y-axis. The figures are identified by their vertices:1. **Triangle ABC** (in the second quadrant): - **Vertex A** is located at point (-4, -2). - **Vertex B** is positioned at point (-3, -2). - **Vertex C** is at point (-3, -5). This triangle seems to be a right-angled triangle with a horizontal base along the line joining vertices A and B. The vertex C is positioned below this line, forming a vertical leg.2. **Triangle DEF** (in the fourth quadrant): - **Vertex D** is at point (2, -2). - **Vertex E** is at point (4, -2). - **Vertex F** is at point (4, -5). Similar to the first triangle, this triangle is also right-angled, with a horizontal base from D to E, and a vertical side dropping down to F.**Transformation Insight:**Observing the positions and orientation of the triangles:- Triangle DEF appears to be a translation of Triangle ABC to the right along the x-axis and mirrored across the y-axis, indicating a possible reflection over the y-axis and further translation.**Conclusion:**The graphical representation effectively illustrates geometric transformations including translation and reflection. Understanding such transformations is fundamental in the study of coordinate geometry and spatial reasoning.--- **Reflection and Equation Mapping in Geometry**In this problem, you are asked to determine the line of reflection that maps triangle \( \triangle ABC \) onto triangle \( \triangle EDF \). A line of reflection is a line that acts as a mirror, providing a way to transform one shape into another identical shape.### Question:Which equation represents the line of reflection that maps \( \triangle ABC \) onto \( \triangle EDF \)?- \( y = -2 \)- \( y = -3 \)- \( y = 2x - 3 \)- \( y = -2x - 2 \)To solve this problem, identify which line acts as a mirror between the two triangles by verifying each equation as a potential line of reflection.

Answered: Which equation represents the ine of…

Which equation represents the ine of reflection that maps AABC onto AEDP

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT