Can these sides and angles make a triangle?

Grade 7 Math Worksheet - Building Confidence

Circle the best answer.

1. 1.

   Ari cuts three paper strips that are 11 cm, 6 cm and 8 cm long. Which describes the triangles Ari can build with them as sides?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
2. 2.

   Kira folds three paper strips that are 9 cm, 14 cm and 5 cm long. Which describes the triangles Kira can build with them as sides?

   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
3. 3.

   Milo wants to draw a kite wing with angles of 35°, 55° and 90°. Which describes the triangles Milo can draw?

   • More than one triangle: different sizes or shapes fit
   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
4. 4.

   Noah wants to draw a toy boat sail with angles of 50°, 60° and 80°. Which describes the triangles Noah can draw?

   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
5. 5.

   Ren wants to draw a roof end for a tower with angles of 30°, 70° and 70°. Which describes the triangles Ren can draw?

   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
   • More than one triangle: different sizes or shapes fit
6. 6.

   Tala draws a side of 8 cm, then wants angles of 50° and 70° at its two ends. Which describes the triangles Tala can draw?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
7. 7.

   Ari draws a side of 10 cm, then wants angles of 35° and 85° at its two ends. Which describes the triangles Ari can draw?

   • More than one triangle: different sizes or shapes fit
   • Exactly one triangle: only one size and shape fits
   • No triangle: nothing fits
8. 8.

   Bo sketches a side of 9 cm, then wants angles of 120° and 80° at its two ends. Which describes the triangles Bo can draw?

   • No triangle: nothing fits
   • Exactly one triangle: only one size and shape fits
   • More than one triangle: different sizes or shapes fit
9. 9.

   Jun measures a triangle on a map: a 5 cm side, a 7 cm side and a 40° angle where those two sides meet. What parts does Jun know?

   • Two sides and the angle between them
   • Two sides and an angle not between them
   • Three sides
10. 10.

    Noah draws a toy boat sail. Noah knows angles of 30° and 60°, and the 9 cm side that joins their two corners. What parts does Noah know?

    • Three angles
    • Two angles and the side between them
    • Two sides and the angle between them