Midsegments of triangles

Answer Key - Grade 10 Math Worksheet

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

1. 1.

   Kira folds a paper triangle. The crease QS joins two midpoints; QS = (x + 3) cm and FG = (3x − 11) cm. How long is FG, in cm?

   40
2. 2.

   Milo looks at a triangular window. The wooden strip DF joins two midpoints; DF = (3x − 4) inches and VS = (5x + 1) inches. How long is VS, in inches?

   46
3. 3.

   Noah walks in a triangular park. The path HC joins two midpoints; HC = (4x − 3) m and QU = (7x + 4) m. How long is QU, in m?

   74
4. 4.

   Pia walks in a triangular park. Q, S and U are the midpoints of its three sides. What is the perimeter of △QSU, in m?

   45
5. 5.

   Ren looks at a triangular sail. W, Y and D are the midpoints of its three sides. What is the perimeter of △WYD, in feet?

   19
6. 6.

   Tala studies three towns on a map. G, H and Q are the midpoints of its three sides. What is the perimeter of △GHQ, in miles?

   91
7. 7.

   Ari looks at the triangular front of a tent. The crossbar QS joins two midpoints, and m∠DFG = 53°. What is m∠FQS, in degrees?

   127
8. 8.

   Bo looks at the triangular front of a roof. The beam HY joins two midpoints, and m∠UCW = 64°. What is m∠CHY, in degrees?

   116
9. 9.

   Esme looks at the brace under a ramp. The bar SG joins two midpoints, and m∠QVD = 71°. What is m∠VSG, in degrees?

   109
10. 10.

    Jun looks at a triangular window. The wooden strip UC joins two midpoints, and m∠WHF = 46°. What is m∠HUC, in degrees?

    134