# Constructing quadrilateral based on symmetry | Transformations | Geometry | Khan Academy | Summary and Q&A

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May 27, 2015
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Khan Academy
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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