Midsegments of triangles

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Milo looks at a triangular sail. Its three midsegments form △DHW, with sides 5, 7 and 9 feet. What is the perimeter of △SGV, in feet?

   42
2. 2.

   Noah folds a paper triangle. Its three midsegments form △CYG, with sides 8, 11 and 12 cm. What is the perimeter of △FQU, in cm?

   62
3. 3.

   Pia looks at a triangular window. QS = (x + 5) inches, FG = (3x − 1) inches and QU = (2x − 4) inches. How long is DG, in inches?

   36
4. 4.

   Ren looks at the triangular front of a tent. WY = (2x + 1) feet, CU = (3x + 6) feet and WQ = (3x + 2) feet. How long is HU, in feet?

   28
5. 5.

   Tala cuts a triangular slice of pizza. GD = (3x − 2) cm, SV = (5x + 2) cm and GF = (x + 7) cm. How long is QV, in cm?

   26
6. 6.

   Zee walks in a triangular park. YC = (x + 8) m, WH = (4x − 14) m and YG = (2x − 9) m. How long is UH, in m?

   42
7. 7.

   Ari looks at the triangular front of a roof. The beam QS joins two midpoints, m∠DQS = (3x + 4)° and m∠DFG = (5x − 18)°. What is m∠FQS, in degrees?

   143
8. 8.

   Bo looks at the triangular front of a tent. The crossbar UY joins two midpoints, m∠CUY = (2x + 15)° and m∠CWH = (4x − 21)°. What is m∠WUY, in degrees?

   129
9. 9.

   Esme looks at the brace under a ramp. The bar SF joins two midpoints, m∠GSF = (6x − 8)° and m∠GVQ = (4x + 20)°. What is m∠VSF, in degrees?

   104
10. 10.

    Jun cuts a triangular wedge of cheese. The cut CH joins two midpoints, m∠WCH = (5x − 7)° and m∠WUD = (2x + 23)°. What is m∠UCH, in degrees?

    137