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Defining Congruence

Defining Congruence. Investigation 2.1 and 2.2. Learning Goal 2(8.G.A.2, 8.G.A.3): Apply properties of transformations to perform and explain sequences of transformations and prove figures are congruent. Congruent. Tell your partner what you think congruent means.

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Defining Congruence

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  1. Defining Congruence Investigation 2.1 and 2.2

  2. Learning Goal 2(8.G.A.2, 8.G.A.3): Apply properties of transformations to perform and explain sequences of transformations and prove figures are congruent.

  3. Congruent • Tell your partner what you think congruent means. • Two figures have the same size and same shape are congruent. • Draw an example of objects that are congruent.

  4. Connecting Congruent Polygons • When two polygons are congruent, you can match vertices in a way that pairssides and angles of the same size. • Quadrilaterals ABCD and RSPQare congruent. • What are pairs of congruent sides? • What are pairs ofcongruent angles?

  5. Connecting Congruent Polygons • How can you flip, turn, and orslide one quadrilateral onto the other? • Write down which vertices inquadrilateral ABCD correspondto which vertices in quadrilateral PQRS.The arrow “→” means “corresponds to.” • A → B → • C → D → S R Q P

  6. Geometric Notation • AB means “line segment AB” • The symbol  means “is congruent to.” • Complete these statements toshow which pairs of sides in thetwo quadrilaterals are congruent. • AB  BC  • CD  DA  PS SR RQ PQ

  7. Geometric Notation • The notation A means “angle A.” • Complete these statements to show which angles arecongruent. • A  • B  • C  • D  R S P Q

  8. Geometric Notation • Triangle ABC and RQP show a common way of marking congruent sides and angles. • The sides with the same number of tic marks are congruent. • The angles with the same number of arcs are congruent.

  9. Geometric Notation • Copy the two figures. • ΔABC ΔZYX • Use tic marks and arcs to show which sides and angles are congruent to each other.

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