This lesson is the equivalent of going to the optometrist for a comprehensive eye exam. 

Objective 1a

You will be able to define and perform dilations

Remember using spoons to define a variety of transformations?  Well, they're back to aid us with the definition of a dilation, which enlarges or reduces our figure.  Definitely not a rigid motion.  Duration_7_42

Objective 1b

In this video investigation, we use Geogebra to get a grasp on how two key elements affect any dilation:  the center of dilation and the scale factor.  Duration_16_27

Objective 1c

Now we will continue our investigations of dilations with a traditional pencil and paper activity on the coordinate plane.  Please take out your compass and straightedge!  Duration_12_23

Objective 1d

Prefer a more technological approach to your geometric investigations?  Geogebra is here to replace your compass, straightedge, and graph paper.  Duration_15_06

Objective 1e

Now let's apply what we have discovered about dilations on and off the coordinate plane in Examples 3 and 4.  Duration_9_42

Objective 1f

When we were performing all of those dilations on the coordinate plane, the center was locked into the origin.  Examples 5 and 6 demonstrate how do to deal with a dilation centered elsewhere.  Duration_15_20

Geometry 3(A) describe and perform transformations of figures in a plane using coordinate notation

Geometry 3(C) identify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane

Geometry 4(A) distinguish between undefined terms, definitions, postulates, conjectures, and theorems

Geometry 5(C) use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships 

Geometry 7(A) apply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles