Midsegments of triangles

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 1.

   Kira looks at the triangular front of a tent. The crossbar QS joins the midpoints of DF and DG. How long is QS, in feet?

   5
2. 2.

   Luz looks at a triangular sail. The seam WY joins the midpoints of HC and HU. How long is WY, in feet?

   7
3. 3.

   Noah looks at the triangular front of a roof. The beam CF joins the midpoints of UW and UQ. How long is CF, in feet?

   15
4. 4.

   Pia opens a stepladder. The spreader bar SU joins the midpoints of QD and QH, and SU = 22 inches. How long is DH, in inches?

   44
5. 5.

   Ren cuts a triangular slice of pizza. The cut YC joins the midpoints of FV and FW, and YC = 7 cm. How long is VW, in cm?

   14
6. 6.

   Tala walks in a triangular park. The path DQ joins the midpoints of GS and GC, and DQ = 36 m. How long is SC, in m?

   72
7. 7.

   Zee looks at a triangular window. The wooden strip UG joins the midpoints of WH and WF, and UG = 15 inches. How long is HF, in inches?

   30
8. 8.

   Ari cuts a triangular wedge of cheese. Q is the midpoint of DF, and S is the midpoint of DG. Which statement about QS is true?

   • QS ∥ FG and QS = FG
   • QS ∥ FG and QS = ½FG
   • QS ∥ DF and QS = ½DF
   • QS ⊥ FG and QS = ½FG
9. 9.

   Bo looks at the brace under a ramp. H is the midpoint of UC, and Y is the midpoint of UW. Which statement about HY is true?

   • HY ∥ CW and HY = ½CW
   • HY ⊥ CW and HY = ½CW
   • HY ∥ UC and HY = ½UC
   • HY ∥ CW and HY = CW
10. 10.

    Esme folds a paper triangle. D is the midpoint of VG, and Q is the midpoint of VS. Which statement about DQ is true?

    • DQ ∥ GS and DQ = GS
    • DQ ∥ GS and DQ = ½GS
    • DQ ∥ VG and DQ = ½VG
    • DQ ⊥ GS and DQ = ½GS