The Triangle Proportionality (side-splitting) Theorem

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Noah builds a ramp with a brace GH. In △CDF, GH ∥ DF, with G on CD and H on CF. How long is CH, in feet?

   6
2. 2.

   Pia sews a seam GH across a sail. In △CDF, GH ∥ DF, with G on CD and H on CF. How long is CH, in inches?

   15
3. 3.

   Ren plans a path GH across a triangle park. In △CDF, GH ∥ DF, with G on CD and H on CF. How long is CH, in meters?

   15/2
4. 4.

   Tala walks a path CG that cuts the corner angle of a triangle park in half. In △CDF, CG bisects ∠C and meets DF at G. How long is DG, in meters?

   6
5. 5.

   Zee adds a brace CG that splits a roof's top angle in half. In △CDF, CG bisects ∠C and meets DF at G. How long is DG, in feet?

   4
6. 6.

   Ari cuts a pizza slice from the tip C, halving the tip's angle. In △CDF, CG bisects ∠C and meets DF at G. How long is DG, in inches?

   9
7. 7.

   Bo draws a road CG that halves the angle at town C. In △CDF, CG bisects ∠C and meets DF at G. How long is DG, in feet?

   8
8. 8.

   Esme builds a ramp with a brace GH. In △CDF, GH ∥ DF, with G on CD and H on CF. What is x?

   8
9. 9.

   Jun fixes a crossbar GH across a tent front. In △CDF, GH ∥ DF, with G on CD and H on CF. What is x?

   7
10. 10.

    Luz cuts a wedge of cheese along GH. In △CDF, GH ∥ DF, with G on CD and H on CF. What is x?

    14