Constructing quadrilateral based on symmetry  Transformations  Geometry  Khan Academy  Summary and Q&A
Constructing quadrilateral based on symmetry  Transformations  Geometry  Khan Academy
TL;DR
The video explains how to draw and classify a quadrilateral that remains unchanged after reflection over a given line.
Questions & Answers
Q: What are the two points defining the quadrilateral in the video?
The two points are (0, 9) and (3, 4).
Q: How is the line y = 3  x related to the reflection of the quadrilateral?
The quadrilateral is left unchanged after reflection over the line y = 3  x.
Q: How can we determine the other two vertices of the quadrilateral?
By reflecting the given vertices across the line y = 3  x, we find the additional vertices.
Q: What is the final classification of the quadrilateral?
The quadrilateral is classified as a trapezoid, as it has one pair of parallel sides.
Summary & Key Takeaways

The video discusses a quadrilateral defined by two points (0, 9) and (3, 4).

The quadrilateral is left unchanged by reflection over the line y = 3  x.

By reflecting the given points across the line, the shape of the quadrilateral is determined to be a trapezoid.
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