BPW Inv 1.1 - Line Reflections
In your BPW book or BPW online book link, open to Inv 1.1 (pg 10) and use Geogebra to answer the Part A questions 1 - 4 for pentagon ABCDE after making image, A′B′C′D′E′, and the line of reflection line AE.
- Use the Line tool
to create line Line AE.
- Reflect the polygon over the line AE using the reflection tool
.
- Use the Segment tool
to draw segments connecting each vertex of pentagon ABCDE to its image on pentagon A′B′C′D′E′
- Use the intersect tool
to show intersection point of segments you drew in step three and line AE.(go to
and in dropdown menu find
)
- Measure lengths of A to intersection point and A' to intersection point using
(under
dropdown menu) and angles
(click on three points you want to measure.
- How are measures of the line of reflection AE and lines between all points and their image (A and A') related?
- How are the distances of a line from point to line of reflection and image to line of reflection ?
- Which points are in the same location as their image under this reflection?