Transformational geometry unit 4 test answer key

Jake Greenberg11/14/17Mr. Bergen - Period 6 - Geometry HonorsUnit 4 Study Guide1) TransformationsTransformation= a function that moves or changes a figure in some way to produce a new figureTYPES:-Line reflection-Rotation-Translation**The figure before the transformation is called thepreimage, and the figure after thetransformation is called theimage**2)Line ReflectionsLine Reflection= a point (or line, shape) is flipped over a line(In the photo Triangle ABC is reflected over the Y-AXIS to createTriangle A’B’C’)RULES FOR REFLECTING OVER THE AXES:●Over the y-axis = (x,y) ---> (-x,y)●Over the x-axis = (x,y) ---) (x,-y)After a reflection, ask yourself these questions…-Is distance preserved?-Is midpoint preserved?-Is angle measure preserved?-Is area preserved?If the answer is YES for all of them, it is anisometry/rigid motion.If orientation is preserved as well, it is adirect isometry. If it is not, it is anindirect isometry.Constructing a Line of Reflection:●Use the preimage and image as endpoints●Construct a perpendicular bisector*The points are equidistant to the line of reflection*

**If the problem asks FOR the line of reflection, you only need one construction****If it asks IF THERE IS a line of reflection, you need two constructions**Writing Equations After a Reflection Over an Axis:Y-AXIS:●Since the you must find the opposite of x for a point, you do the same with a line●Just change the x in the problem to -x and simplifyExample: y = 2x + 3 ---> y = -2x + 3X-AXIS:●Since the you must find the opposite of y for a point, you do the same with a line

Description of unit 4 transformational geometry unit test d answers

Name: Geometry Period Unit 6: Quadrilaterals Part 1 of 2: Coordinate Geometry Proof and Properties! In this unit you must bring the following materials with you to class every day: Calculator Pencil

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