## Investigating Properties Of Dilations 65 T Similarity Congruence And Proofs Instruction Ccgps Analytic Geometry Teacher Resource

**Unit 1 similarity congruence and proofs**. SIMILARITY CONGRUENCE AND PROOFS This unit introduces the concepts of similarity and congruence. The definition of similarity is explored through dilation transformations. The concept of scale factor with respect to dilations allows figures to be enlarged or reduced.

Rigid motions lead to the definition of congruence. Once congruence is established various congruence criteria. Analytic Geometry EOCT UNIT 1.

Practice – Similar Triangles and Triangle Proportionality Theorems Practice – Similar Triangles and Triangle Proportionality Theorems with answers Week 5. Constructions and Review of Similar Triangles and Transformations August 28 – September 1 Monday – Constructions – Angle Bisector and Perpendicular Bisector Foldable Front. Unit 1 – Similarity Congruence and Proofs.

Understand similarity in terms of similarity transformations. MCC9-12GSRT1 Verify experimentally the properties of dilations given by a center and a scale factor. A dilation takes a line not passing through the center of the dilation to a parallel line and leaves a line passing through the center.

Day 2 Monday 8-11-14. -Unit 1 standards sheet handout. -Unit 1 Task 1 on dilations.

Day 3 Tuesday 8-12-14. – Complete Task 1 – dilating a figure about a point other than the origin. Day 4 Wednesday 8-13-14.

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## Unit 1 Similarity Congruence And Proofs Answer Key

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4 Practice 1.4.1: Describing Rigid Motions and Predicting the Effects, pp Translation right 4 units and up units the orientation stayed the same.. Reflection the line of reflection is x = 1. The orientation changed, and the preimage and the image are mirror reflections of each other. The line of reflection is the perpendicular bisector of the segments connecting the vertices of the preimage and image.. Rotation the orientation changed, but the figures are not mirror images of each other y R x y D 1 x D y N W E S D T D D D x U1-746

16 5. heck students work for accuracy. e sure each of the 6. heck students work for accuracy. e sure each of the vertices lies on the circle heck students work for accuracy. e sure each of the equal to the length of the given segment. 9. heck students work for accuracy. e sure each of the equal to twice the length of the given segment. 10. heck students work for accuracy. e sure each of the Practice 1.4.1: Describing Rigid Motions and Predicting the Effects, pp Rotation the orientation changed, but the images are not mirror reflections of each other.. Translation 5 units left and units up the orientation stayed the same.. Reflection the line of reflection is y = the orientation changed and the preimage and image are mirror reflections of each other the line of reflection is the perpendicular bisector of the segments connecting the vertices of the preimage and image y x y R y x x U1-758

## Geometry Unit 3 Jeopardy Congruence Similarity Special Segments

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Geometry Unit 3 Jeopardy Congruence similarity special segments angles area/pythag. thm. 100 100 200 200 300 300 400 400 500 500 Final

Congruence $100 Name three transformations that result in producing a congruent triangle:

Congruence $100 Answer Reflection Rotation Translation

Congruence $200 Are the triangles congruent? If so, name theorem:

Congruence $200 Answer Yes, triangles are congruent by SSS

Congruence $300 Are the triangle congruent? If so name theorem:

Congruence $300 Answer The triangles are congruent by AAS

Congruence $400 Are the triangles congruent? If so state theorem:

Congruence $400 Answer There is not enough information marked in the picture to determine if triangles are congruent.

Congruence $500 Are the triangles congruent? If so name the transformation that is modeled, and theorem:

Congruence $500 Answer The triangles are reflections, and they are congruent by HL

Similarity $100 When triangles are similar their angles are _______ , Their sides are _____ , and the transformation that occurred is _____

Similarity $100 Answer When triangles are similar their angles are CONGRUENT Their sides are PROPORTIONAL and the transformation that occurred is a DILATION.

Similarity $200 Are the triangles similar? If so name theorem:

Similarity $200 Answer

Similarity $300 *Daily Double Are the triangles similar? If so, name theorem. *You must explain how you came to this conclusion which angles are congruent, which sides are proportional)

Angles $400

**Recommended Reading: Renate Blauel 2013 **