reflections 1-4b
DESCRIPTION
Reflections 1-4B. What are transformations? What are reflections?. What happened?. Moved Rotated Enlarged. Transformation. A second figure that looks exactly like the first but is shifted, flipped, enlarged, shrunken or rotated. Special Type of Transformation. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Reflections 1-4B](https://reader036.vdocuments.mx/reader036/viewer/2022062411/568167da550346895ddd38b4/html5/thumbnails/1.jpg)
Reflections 1-4BWhat are transformations?
What are reflections?
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What happened?Moved
Rotated
Enlarged
![Page 3: Reflections 1-4B](https://reader036.vdocuments.mx/reader036/viewer/2022062411/568167da550346895ddd38b4/html5/thumbnails/3.jpg)
Transformation
A second figure that looks exactly like the first but is shifted, flipped, enlarged, shrunken or rotated.
![Page 4: Reflections 1-4B](https://reader036.vdocuments.mx/reader036/viewer/2022062411/568167da550346895ddd38b4/html5/thumbnails/4.jpg)
Special Type of TransformationShe saw her reflection
in the mirror.
The trees were reflected in the lake.
The sphere was so clear, I saw my reflection.
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Definition of Reflection
A reflection is a flipping of a figure over a line. This is the line of reflection. A reflection is a special type of transformation.
Line of Reflection
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Pre-Image/Image
Pre-image the original figureImage the figure after a transformation
A
C
B A′B′
C′l
Pre-image (1) Image (2)
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Pre-image/Image
To tell the two images apart, use prime notation A′.
When naming images of figures, list corresponding points in the same order.
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Reflective Detective p. 68
Fold a sheet of paper in half. Poke the tip of a pencil through the folded paper at 3 points that are not collinear.
Open the paper and draw segments connecting the holes on each side of the fold. (You should have 2 triangles with the fold as the line of reflection.) Label all the points.
Draw segments connecting the points of the image with corresponding points of the pre-image. Measure the distance from the vertices to the fold. Measure the angles these segments make with the fold.
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VocabularyEquidistant two points are the same distance
from another point, segment or line.Bisector a figure is cut into two
congruent halves.Perpendicular bisector a line or segment
that divides the segment into two congruent segments and is perpendicular to it.
A
l
B
l is a perpendicular bisector of AB
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Perpendicular to a line construction p. 69
Use your paper from reflective detective to for your construction.
You will also need your compass and a ruler.
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Definition
Point A′ is the reflection image over line l of point A if l is the perpendicular bisector of AA′.
l
A
A′
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Assignment
p. 70, 1-10, 22-25