SIMILAR TRIANGLES SCAVENGER HUNT. Created by: ALL THINGS ALGEBRA
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1 SIMILAR TRIANGLES SCAVENGER HUNT Created by: ALL THINGS ALGEBRA
2 SIMILAR TRIANGLES Scavenger Hunt! Objective: Students will practice solving problems with similar triangles through this scavenger hunt. This includes identifying the scale factor, solving for missing sides, solving problems related to perimeter, and finding angle measures. They must be able to recognize the proportionality of sides and perimeter, and the congruency with angles. Problems range in difficulty. This activity was created for a high school level geometry class, Directions: 1) Print the 20 stations and scatter around the room (and in the hallway if possible, the kids love to leave the room!). 2) Distribute the recording worksheet to each student, then place students in groups of 2-3 and assign a starting problem. They solve the problem at their station. The answer they get will lead them to the next station. They continue looping around until they have completed all 20 stations. Includes student worksheet, 20 stations, and answer key!
3 SIMILAR TRIANGLES Scavenger Hunt! Name: Date: Per:
4
5 39 Give the scale factor of Figure A to Figure B A B 9 35
6 5:3 Give the scale factor of Figure B to Figure A A 8 B 6 4
7 1:4 A 9 B If ABC ~ DFE, find the value of x. 6 C E 10 D 4x 13 F
8 7 J If JKM ~ NKL, find the value of x. N 6 x + 2 K 8 L x + 7 M
9 13 If RSV ~ RTU, find the value of x. T 28 S 7x x 2 R V U
10 9 C If CDE ~ FGE, find DE. F 3x x + 1 E 16 G D
11 56 P If PQR ~ STU, find ST. 5x + 1 S T 63 11x 5 36 R U Q
12 16 G If JGH ~ KIH, find GI. K x J 45 H 3x 9 I
13 78 If STR ~ PTQ, find QT. S 26 P 65 T 4x 3 Q R 30
14 45 If APC ~ YKM, find KM. Y P 12 C 32 3x + 11 A K x + 6 M
15 21 If SND ~ LWD, find SN. N 6x + 1 W 2x + 7 S 12 L 30 D
16 25 K If BKY ~ TZY and the perimeter of BKY is 208, find the perimeter of TZY. 40 Z Y B T
17 130 L If LMN ~ YXZ and the perimeter of YXZ is 144, find XZ. 72 M Z Y N X
18 51 If NPQ ~ RSQ, the perimeter of NPQ = 7x + 2, and the perimeter of RSQ = 10x 4, find the perimeter of NPQ. P 21 N 24 Q 32 R 28 S
19 72 Q If SQT ~ PQR, the perimeter of SQT is 135, and the perimeter of PQR is 171, find PQ. T R 2x 4 S x 9 P
20 38 If CFH ~ TDM with a scale factor of 4 : 5, find the perimeter of CFH. M x + 6 F x + 11 x + 7 x 1 2x 13 C x + 3 H T
21 96 If FEG ~ PJS find the value of x. E 84 P G (5x 14) 25 F J S
22 17 If ABE ~ CDE find the value of x. A 24 B C 117 D (4x + 1) E
23 23 If NPZ ~ HBZ find the measure of B. P (8x 37) N 42 Z B (2x 5) H
24 If WXY ~ VTU find 107 the measure of T. W (2x 2) T U V (8x 7) Y (3x 6) X
25 Answer Key Depending on where students begin, answers will loop around in this order: 5:3 1:
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