Geometric transformations! Unit 8 Overview

Objective SWBAT: Define Transformations SWBAT: Define and label vertices and prime vertices

Transformations A transformation is a change in the size, the location on the coordinate plane, or a rotation of a figure

4 Types of Transformations translations Reflections Rotations Dilations

Translation A type of transformation that moves a point, line, or shape by a fixed amount

Reflection A type of transformation that uses a line that acts like a mirror called the line of reflection, with an image reflected over the line X-Axis Y-Axis

Rotation A type of transformation in which a figure is turned about a fixed point, called the center of rotation.

Dilation A type of transformation that enlarges or reduces the size of a figure by a scale factor.

Transformations Tree Map Scattegories You have 10 minutes to work with your group. Copy the tree map on the next slide into your notes and then fill in as many unique examples as you can of where you might see this kind of movement in the real world. After 10 minutes, we’ll come back together and compare lists. If your group is the only ones to come up with that example, you get points!

Transformations Tree Map Scattegories

Transformations Cards I will project an image that has gone under some sort of transformation. With your group, waiting until I say “go”, hold up the proper card that explains the kind of transformation each picture has undergone. Make sure you can explain WHY your group is holding that card! I might call on you to share out!!!

Test yourself Describe each of the following transformations in your notebook: 1) Rotation Translation Dilation 4) Reflection

How can I tell OTHER people HOW something has been transformed??? Ms. Ramsel, How can I tell OTHER people HOW something has been transformed???

Easy! We’re going to label the Vertices of our shapes to show their movement!

Hard word, Easy Meaning Vertex: (Plural: Vertices)The outside points of a shape . The corners. We use letters to mark the corners, because it is easier than listing the coordinates every time, but it means the same thing!

What are the three vertices of the triangle ABC? We would label the vertices of this triangle as A (3, 7), B (-6, 1) and C (5, -1)

Prime Notation In this unit, you’ll see a lot of A’, B’, C’, etc. The ‘ symbol next to the letters is called prime notation and is very useful in telling which object came first. The second image or point is labeled with the prime notation symbol.

Let’s try it out Graph the objects you see into your notes. Label the original vertices, prime vertices, and then try and figure out what sort of transformation it is. The objects in black are the original images, and the objects in red are the transformed images. Remember, prime notation is for the transformed images (so, in this case, the red ones) Use your smartboard to label the vertices with them.