a x 32 y 5 b x 5 y 116 c x 5 y 32 d x 5 y 64 2 If one set of corresponding

# A x 32 y 5 b x 5 y 116 c x 5 y 32 d x 5 y 64 2 if one

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a. x = 32, y = 5 b. x = 5, y = 116° c. x = 5, y = 32° d. x = 5, y = 64° 2. If ∆??? ≅ ∆???, one set of corresponding sides are: 2. If ∆??? ≅ ∆???, one set of corresponding sides are: a. ??, ??b. ??, ??c. ??, ??d. ??, ??a. ∠? ≅ ∠?b. ??≅ ??c. ??≅ ??d. ∠? ≅ ∠?4. Given ∆???, which angle is included between 4. Given ∆???, which angle is included between ??& ??? ∠???c. ∠???d. ∠???5. Given ∆???, which side is included between 5. Given ∆???, which side is included between ∠??? & ∠???? a. ??b. ??c. 6. Are the triangles congruent if so, by which congruence postulate/theorem? 7. By which postulate/theorem, if any, are the two triangles congruent? R P Q S V U y°5x32°32°
Geometry-Congruent Triangles ~24~NJCTL.org8. State the third congruence needed to make ∆??? ≅ ∆???true by SAS congruence. Given: a. ????∠B ≅ ∠Eb. ????????c. ∠C∠Fd. ∠A∠D9. What information must be true for ASA congruence between the two triangles? a. ????b. ????c. ∠I∠Ld. ????̅10. State the third congruence needed to make ∆??? ≅ ∆???true by ASA congruence. Given: a. XY≅ PQ∠P ≅ ∠Xb. PQ??11. 12. 13. Find the value of each variable in the figure below. 7z°(12y + 2)°(2x)°(x + 5)°ABCDXA M X I N 95°28°28°95°HGILJK
Geometry-Congruent Triangles ~25~NJCTL.orgExtended Constructed Response- Solve the problem, showing all work. Partial credit may be given.14. Fill in the proof below using the “Reason Bank” off to the right. Some reasons may be used more than once and some may not be used at all. Given: ??⊥ ??, ??≅ ??Prove: I is the midpoint of ??Statements Reasons 1.) ??⊥ ??1.) ??⊥ ??1.) 2.)∠??? & ∠???are right angles 2.) 3.) ∠??? ≅ ∠???3.) 4.) ??≅ ??4.) 5.) ??≅ ??5.) HIJ 6.) 7.) ??≅ ??7.) ??≅ ??7.) 8.) I is the midpoint of 15. Write a two-column or flow proof. Given: ??≅ ??, ∠? ≅ ∠?Prove: ??≅ ??A M I X N IGJHReasons Bank SSS SAS ASA AAS HL CPCTC Def. of perpendicular lines Def. of midpoint All right angles are congruent Given Vertical angles are congruent Reflexive Property of Transitive Property of Symmetric Property of The base angles of an isosceles triangle are
Geometry-Congruent Triangles ~26~NJCTL.orgUnit 5 - Congruent Triangles - ANSWER KEY Congruent Triangles Classwork 1. a. ) XY b.) CB c.) YXZ d.) AC e.)Cf.)Y2. a.)CA JS , AT SD, CT JDb.)C J, A S, T D3. Sides: ML PO , LN OQ, MN PQAngles: L O, M P, N QCongruence Statement: MLN POQ4. Sides: STUW , RS VU, RT VWAngles: R V, T W, S UCongruence Statement: RTSVWU5. Sides: CA XZ ,BC YX, AB ZY (Since the triangles are isosceles, other answers may be correct.)Angles: B Y, C X, A ZCongruence Statement: BCA YXZ6.