Grade 10 · Math · Geometry

10th grade Midsegments of triangles worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Midsegments of triangles

Grade 10 Math Worksheet - Building Confidence

NameDate

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

Luz looks at a triangular sail. The seam WY joins the midpoints of HC and HU. How long is WY, in feet?
Milo studies three towns on a map. The road GH joins the midpoints of SD and SV. How long is GH, in miles?
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?
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?
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?
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?
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?
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 = ½FG
- QS ∥ FG and QS = FG
- QS ∥ FG and QS = ½FG
- QS ∥ DF and QS = ½DF
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 ∥ UC and HY = ½UC
- HY ∥ CW and HY = CW
- HY ∥ CW and HY = ½CW
10.
Jun cuts a triangle sandwich. F is the midpoint of HQ, and W is the midpoint of HU. Which statement about FW is true?
- FW ∥ QU and FW = ½QU
- FW ⊥ QU and FW = ½QU
- FW ∥ HQ and FW = ½HQ
- FW ∥ QU and FW = QU

Midsegments of triangles. Every version has 10 questions, and the answer key prints on the second page.

I can say that a midsegment is parallel to the third side and half as long, and use it both ways.
I can find the perimeter of the triangle made by the three midsegments, or the big triangle's perimeter from it.
I can write 2 × midsegment = third side, solve for x, and use the parallel to find angles.

Standard: G-CO.C.10

midpoint: The point that cuts a segment into two equal halves.

midsegment: A segment joining the midpoints of two sides of a triangle.

third side: The side the midsegment never touches; the midsegment runs beside it.

parallel (∥): Running the same way and never meeting.

tick marks, arrows: Marks on a sketch: same ticks mean equal lengths; arrows mean parallel lines.

Your child doubled when the midsegment is half.

Your child gave the length of the third side, not the midsegment.

Your child halved one of the sides the midpoints sit on.

Ask: is the segment across the middle longer or shorter than the side it runs beside?

Ask: which segment does the question ask for?

Ask: which side does the midsegment run beside without touching?

What is the most common mistake with midsegments of triangles?

Your child doubled when the midsegment is half.

How can I help my child with midsegments of triangles?

Ask: is the segment across the middle longer or shorter than the side it runs beside?

Are these 10th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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