geometry warm-up get a strip of paper from the back desk. fold it in half, then half again. draw a...
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![Page 1: Geometry warm-up Get a strip of paper from the back desk. Fold it in half, then half again. Draw a SpongeBob character in the first frame. Reflect it into](https://reader036.vdocuments.us/reader036/viewer/2022070412/5697bf791a28abf838c82613/html5/thumbnails/1.jpg)
Geometry warm-up Get a strip of paper from the back
desk. Fold it in half, then half again. Draw a SpongeBob character in the
first frame. Reflect it into the second frame. Reflect that one into the 3rd frame. Then,…. guess what?... Yep. Reflect
that one into the 4th frame.
![Page 2: Geometry warm-up Get a strip of paper from the back desk. Fold it in half, then half again. Draw a SpongeBob character in the first frame. Reflect it into](https://reader036.vdocuments.us/reader036/viewer/2022070412/5697bf791a28abf838c82613/html5/thumbnails/2.jpg)
On a small piece of paper,write your name, then tell me
the effect of a double reflection.Do not discuss this with anyone.
Turn it in.
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Let’s grade your homework
Motion in geometry packet.
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Motion in the Coordinate Plane
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Last time we talked about 3 rigid transformations.
Translation …..
Slides
Rotation …..
Turns
Reflection …..
Flips
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Today…
♥ We’re going to talk about those same rigid transformations in the coordinate plane. This is called ...
Wait for it…..
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♥ Whatever transformation occurred:♥ moved the x-coordinate 2 units to the right (positive)♥ and the y-coordinate 4 units up (positive).
![Page 8: Geometry warm-up Get a strip of paper from the back desk. Fold it in half, then half again. Draw a SpongeBob character in the first frame. Reflect it into](https://reader036.vdocuments.us/reader036/viewer/2022070412/5697bf791a28abf838c82613/html5/thumbnails/8.jpg)
♥ (reminder) Whatever transformation occurred:♥ moved the x-coordinate 2 units to the right (positive)♥ and the y-coordinate 4 units up (positive).
♥ THIS SAME OPERATION HAPPENS ON EACH POINT. The result is an image that is congruent to the pre-image.
♥ In our Geometry notation, we can write:♥ T(x,y) = (x + 2, y + 4)♥ Read, “the transformation of a point (x,y) moved
right 2 and up 4”
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Activities
Volunteers hand out
♥Graph paper
♥Straight edges
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“What you should have learned”(write these down in your notebook)
♥ Translations ADD ♥ the same number (positive or negative) to
each of the x-coordinates ♥ and the same number (could be different
from the x-axis addend) to each y-coordinate.♥ The image is congruent to the pre-image
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• Reflections –
♥ MULTIPLY the x-coordinate by -1 to reflect across the y-axis
♥ MULTIPLY the y-coordinate by -1 to reflect across the x-axis
for a special reflection:MULTIPLY both coordinates by -1 to end up with a
double reflection: across one axis and then the other.
This is also considered a ROTATION of 180°
You should have learned this, too
(write these down in your notebook)
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Rotations
♥ MULTIPLY each coordinate by -1 to rotate a figure 180° about the origin.
♥ Since rotations are based on degrees, there is no ‘rule’ regarding operations on a point.
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Let’s Play
Interactive Transformations in the Coordinate Plane
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Assignment
♥ 16-3 Packet