Geometry Agenda. Week 2.5 Objective Stamp Grade. Conditions for Congruent Triangles Day 2 Practice. Quiz. Relax
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1 Name Period Geometry Agenda Week 2.5 Objective Stamp Grade November 2, Conditions for Congruent Triangles Day 2 Practice Tuesday November 3, Wednesday November 4, Thursday November 5, Friday November 6, Quiz Relax CPCTC Practice & Tell Ms. Hancock Happy Birthday! Triangle Proofs Day 1 Practice Triangle Proofs Day 2 / Work Day Practice First Things First Average
2 Warm Up Monday Tuesday Wednesday Thursday Friday
3 Geometry Unit 5 Conditions for Congruent Triangles Day 2 Practice Conditions for Congruent Triangles Day 2 Pages Name: Date: Period: Directions: Decide if the triangles are congruent. If so, state the theorem/postulate. If not write not enough information and tell what other information you would need State the additional information needed to show the triangles are congruent. 7. What information do you need to show the 8. What information would help show the triangles triangles are congruent by ASA? are congruent by HL? (A) C E (A) ACB and ACD are right angles. (B) (C) (D) AB EF BC EF AB DF (B) BC CD (C) B D (D) BAC DAC
4 Geometry Unit 5 Conditions for Congruent Triangles Day 2 9. Which of will NOT show triangles are congruent? (A) SAS (B) ASA (C) AAA (D) HL 10. The picture shows your campsite across from a tree with a river separating you. If you know that C is a midpoint of NP, MN NC, and PQ CP, what conclusions can you make? 11. While helping your family clean out the attic, you find the piece of paper shown at the right. The paper contains clues to locate a time capsule buried in your backyard. The maple tree is due east of the oak tree in your back yard. Will the clues always lead you to the correct spot? Explain. Mark a line on the ground from the oak tree to the maple tree. From the oak tree, walk along a path that forms a 70 angle with the marked line, keeping the maple tree to your right. From the maple tree, walk along a path that forms a 40 angle with the marked line. The time capsule is buried where the paths meet. 12. Anita says that you can rewrite any proof that uses the AAS Theorem as a proof that uses the ASA postulate. Do you agree with Anita? Explain. 13. Use a straightedge to draw a triangle. Label it JKL. Construct MNP JKL so that the triangles are congruent by ASA. 14. In RST at the right, RS = 5, RT = 9 and m T = 30. Show that there is no SSA congruence rule by constructing UVW with UV = RS, UW = RT and m W = m T, but with UVW RST.
5 Geometry: Unit 5 Triangle Congruence: CPCTC Practice Triangle Congruence: CPCTC Pages Name Date Period X A 1. Given: YZX WZX Prove: YZ ZX bisects WZ YXW Y O W 4. Given: BD bisects ABC AB CB Prove: BD bisects ADC B E D Z C 2. Given: KML LNK OKL OLK Prove: MK NL K M O N L 5. Given: JM LK Prove: JK JK LM LM M J L K A Given: AB AD 1 2 Prove: BE DE 1 2 B D E Find the value of x. Justify your work. 6. x 11 2x 3
6 Geometry Unit 5: Triangle Proofs Practice Triangle Proofs Pages Name: Date: Period: Directions: Determine if the triangles are congruent. If so, justify your reasoning. 1. ACB and DCE 2. PQR and SRQ 3. LNM and TMN is SSA, draw hair. hair. is not enough information, draw the following nose. is SSS, draw nose. eyebrows. is HL, draw eyebrows. 4. UVT and WVT 5. Assume AB CD. ABC and CDA 6. ACB and DCB mustache. is not enough information, draw the following mustache. eyes. is AAS, draw eyes. is AAS, draw these wrinkles. is HL, draw these wrinkles on the forehead. 7. EGF and JGH 8. ADB and ECB 9. DEF and JHG is ASA, put this in the thought bubble is AAS, write this in the thought bubble. is ASA, draw this shirt and bow tie. is AAA, draw this shirt and tie. is AAA, write this name. is not enough information, write this name.
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