Number 1.

Determine whether the polygons are similar. If so, identify the correct similarity ratio and the similarity statement. 20 X 18 13 12 B 12 Y 5 O Yes; XZ = XY AC Yz = = and ZA~ ZZ, LB~ ZY, ZZX; AABC- A XZY O No, the triangles are not similar. BC O Yes; yz AC AB XZ and /B~ ZY, 20~ ZZ, ZACZX; AABC- A XZY O None of these O Yes; YZ = XY BC AC AB XZ and /B~ ZZ, 20~ ZY, ZAZZX; AABC- A XZYDetermine whether the two triangles are similar. R 4 M 12 6 P O ARAM - AREP by SAS- or SSS- O ARAM - AREP by AA- or SAS- O ARAM - AREP by AA- or SSS- O The triangles are not necessarily similar.Given ABCD is a rectangle. Which of the following proves A EAD ~A EBC? E B D O 1. ABCD is a rectangle. (Given) 2. ZA and / B are right angles. (Def. of rectangle) 3. ZA~ /B (Rt. /s ~ Thm.) 4. ABCD is a parallelogram. (Rectangle +parallelogram) 5. AD ~ BC (Parallelogram->opp. sides ~ ) 6. EA ~ EB (Given) 7. A EAD ~ A EBC (SAS Steps 3, 5, 6) O 1. ABCD is a rectangle. (Given) 2. ABCD is a parallelogram. (Rectangle >parallelogram) 3. ZA+ /B= 180* (Same-side Int. /s Thm.) 4. ZA ~ /B (Step 3) 5. AD ~ BO (Parallelogram->opp. sides = ) 6. EA ~ EB (Given) 7. A EAD ~ A EBC (SAS Steps 4, 5, 6)\fIdentify the correct explanation for why A ABC and A DEC are similar, and find EC. A B 18 24 24 E D O As shown, AB || ED. /B ~ ZE by the Corr. Z's Post., and similarly, ZA ~ ZD. By the Vert. /s Thm., ZACB ~ ZDCE. Therefore, A ABC ~A DEC by SAS ~. The measure of EC is 32. O As shown, AB || ED. /B ~ ZE by the Alt. Int. /s Thm., and similarly, ZA ~ ZD. By the Vert. /s Thm., ZACB ~ ZDCE. Therefore, A ABC ~A DEC by AA ~. The measure of EC is 32.O As shown, AB | ED. /B ~ ZE by the Alt. Int. /s Thm., and similarly, ZA ~ ZD. By the Vert. /s Thm., ZACB ~ ZDCE. Therefore, A ABC ~ DEC by AA ~. The measure of EC is 36. O As shown, AB |ED. /B~ ZE by the Alt. Int. /s Thm., and similarly, ZA ~ ZD. By the Corr. /s Post., ZACB ~ ZDCE. Therefore, A ABC ~A DEC by SAS . The measure of EC is 36