Triangle similarity: AA, SSS and SAS

Answer Key - Grade 10 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Jun wants two triangle tiles similar by SSS~. What value of x makes the two triangles similar?

   7
2. 2.

   Kira wants two paper triangles similar by SSS~. What value of x makes the two triangles similar?

   7
3. 3.

   Luz wants two kite frames similar by SSS~. What value of x makes the two triangles similar?

   5
4. 4.

   Milo wants two window panes similar by SSS~. What value of x makes the two triangles similar?

   7
5. 5.

   Noah makes a kite design bigger and turns it: △CDF becomes △QSU, with CD matching QS. Which moves map △CDF onto △QSU?

   • A dilation by 3, then a rotation
   • Add 8 cm to each side, then a rotation
   • A dilation by 1/3, then a rotation
   • A rotation only
6. 6.

   Pia shrinks a paper triangle and flips it: △CDF becomes △QSU, with CD matching QS. Which moves map △CDF onto △QSU?

   • Take 6 cm off each side, then a reflection
   • A dilation by 5/2, then a reflection
   • A dilation by 2/5, then a reflection
   • A reflection only
7. 7.

   Ren enlarges a triangle on a map and slides it: △CDF becomes △QSU, with CD matching QS. Which moves map △CDF onto △QSU?

   • A translation only
   • Add 3 cm to each side, then a translation
   • A dilation by 3/2, then a translation
   • A dilation by 2/3, then a translation
8. 8.

   Tala shrinks a triangle sticker and turns it: △CDF becomes △QSU, with CD matching QS. Which moves map △CDF onto △QSU?

   • Take 2 cm off each side, then a rotation
   • A rotation only
   • A dilation by 3/4, then a rotation
   • A dilation by 4/3, then a rotation
9. 9.

   Zee studies a folding chair from the side. CG and DF cross at Y, and CD ∥ GF. What is x?

   7
10. 10.

    Bo looks at a folding table from the side. CG and DF cross at Y, and CD ∥ GF. What is x?

    7