2 VERSIONS! PROOFS PEEL & STICK ACTIVITY ALL THINGS ALGEBRA. Created by:
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1 2 VERSIONS! PEE & STICK ACTIVITY Created by: PROOFS A THINGS AGEBRA
2 CONGRUENT TRIANGE PROOFS Peel & Stick Activity! Objective: To practice completing triangle congruency proofs using Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), and Hypotenuse-eg (H). CPCTC is also included. There are 8 proofs total. Directions: 1) Choose and print the version of the activity you d like to use. I like to print the proofs on colored paper. Version 1: Identify reasons only. Version 2: Identify a mix of statements and reasons. 2) Print the abels file that corresponds to the version of the activity you are using. *I use white Avery 8167 Return abels in white. Cut the label sheets in half. 3) Give each student the proofs and labels. They identify the missing reason/statement and stick on their paper. An answer key is provided to check the answers. Other Suggestions: If you do not want to use return labels, you can have students cut and paste the statements/reasons. You can cut the proofs sheets in half and use them as entrance/exit tickets and have students write in the missing statement/reasons. Version 1 Version 2
3 1 WXbisects ZXY, ZX YX ZXV YXV X V Y W Z 1. WX bisects ZXY ZXV YXV 2. ZX YX 4. XV XV ZXV YXV 5. 2 PQ RS, PQR RSP Q R PQR RSP P S 1. PQ RS QPR SRP 2. PQR RSP 4. PR RP PQR RSP 5.
4 3 AC DE, Bis the midpoint of ADandCE A E ABC DBE B C D 1. AC DE Bis the midpoint of ADandCE 2. AB DB 4. CB EB ABC DBE 5. 4 JK and MJ are right triangles, K M JK M N JK JM J 1. JK and MJ are right triangles JK M 2. J J 4. JK MJ JK JM 5.
5 5 DF HG, Fis the midpoint of EG DF HG DEF HFG D H E G 1. DF HG Fis the midpoint of EG 2. DF HG 4. DFE HGF EF FG DEF HFG 6. 6 Nis the midpoint of Q, NM NQP MN PNQ P N Q M 1. Nis the midpoint of Q N QN 2. NM QNP 4. NM NQP MN PNQ 5.
6 7 SUand RT bisect each other, S T ST UR V STV URV R U 1. SUand RT bisect each other SV UV; RV TV 2. ST UR 4. SVT UVR STV URV 5. 8 HJ K, H JK H J HK KHJ K 1. HJ K, H JK JHK KH 2. JKH HK 4. HK KH HK KHJ 5.
7 1 WXbisects ZXY, ZX YX ZXV YXV X V Y W Z 1. WX bisects ZXY 1. Given Definition of Angle Bisector ZX YX Reflexive Property 5. ZXV YXV 5. 2 PQ RS, PQR RSP Q R PQR RSP P S Given Alternate Interior Angles PQR RSP 4. RP PR PQR RSP 5. VERSION 2
8 3 AC DE, Bis the midpoint of ADandCE A E ABC DBE B C D 1. AC DE Bis the midpoint of ADandCE 2. Definition of Midpoint Definition of Midpoint 5. ABC DBE 5. 4 JK and MJ are right triangles, K M JK M N JK JM J 1. JK and MJ are right triangles Given J J Hypotenuse-eg (H) 5. JK JM 5. VERSION 2
9 5 DF HG, Fis the midpoint of EG DF HG DEF HFG D H E G Given 2. Fis the midpoint of EG 2. Given Corresponding Angles 5. EF FG DEF HFG 6. 6 Nis the midpoint of Q, NM NQP MN PNQ P N Q M 1. Nis the midpoint of Q Definition of Midpoint NM QNP 4. NM NQP MN PNQ 5. VERSION 2
10 7 SUand RT bisect each other, S T ST UR STV URV R V U 1. SUand RT bisect each other SV UV; RV TV 2. Given Side-Side-Side (SSS) 5. STV URV 5. 8 HJ K, H JK H J HK KHJ K 1. HJ K, H JK Alternate Interior Angles JKH HK Reflexive Property 5. HK KHJ 5. VERSION 2
11 1 WXbisects ZXY, ZX YX ZXV YXV X V Y W KEY Z 1. WX bisects ZXY 1. Given 2. ZXV YXV 2. Definition of Angle Bisector ZX YX Given 4. XV XV 4. Reflexive Property 5. ZXV YXV 5. Side-Angle-Side (SAS) 2 PQ RS, PQR RSP Q R KEY PQR RSP P S 1. PQ RS 1. Given 2. QPR SRP 2. Alternate Interior Angles PQR RSP Given 4. PR RP 4. Reflexive Property 5. PQR RSP 5. Angle-Angle-Side(AAS)
12 3 AC DE, Bis the midpoint of ADandCE A E KEY ABC DBE B C D 1. AC DE 1. Given 2. Bis the midpoint of ADandCE 2. Given AB DB Definition of Midpoint 4. CB EB 4. Definition of Midpoint 5. ABC DBE 5. Side-Side-Side(SSS) 4 JK and MJ are right triangles, K M KEY JK M N JK JM J 1. JK and MJ are right triangles 1. Given 2. JK M 2. Given J J Reflexive Property 4. JK MJ 4. Hypotenuse-eg (H) 5. JK JM 5. CPCTC
13 5 DF HG, Fis the midpoint of EG DF HG DEF HFG D H E G KEY 1. DF HG 1. Given 2. Fis the midpoint of EG 2. Given DF HG Given 4. DFE HGF 4. Corresponding Angles 5. EF FG 5. Definition of Midpoint 6. DEF HFG 6. Side-Angle-Side (SAS) 6 Nis the midpoint of Q, NM NQP MN PNQ M N P KEY Q 1. Nis the midpoint of Q 1. Given 2. N QN 2. Definition of Midpoint NM QNP Vertical Angles 4. NM NQP 4. Given 5. MN PNQ 5. Angle-Side-Angle (ASA)
14 7 SUand RT bisect each other, S T KEY ST UR STV URV R V U 1. SUand RT bisect each other 1. Given 2. SV UV; RV TV 2. Definition of Bisector ST UR Given 4. SVT UVR 4. Side-Side-Side (SSS) 5. STV URV 5. CPCTC 8 HJ K, H JK H J KEY HK KHJ K 1. HJ K, H JK 1. Given 2. JHK KH 2. Alternate Interior Angles JKH HK Alternate Interior Angles 4. HK KH 4. Reflexive Property 5. HK KHJ 5. Angle-Side-Angle(ASA)
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