Worksheet

Larger angle opposite the longer side, and isosceles and equilateral triangles

Grade 10 Math Worksheet

NameDate

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

  1. Kira measures one triangle patch on a quilt, triangle DGS, with DG = 9, GS = 14, SD = 11 cm. Which list orders its angles from smallest to largest?

    • ∠S, ∠D, ∠G
    • ∠D, ∠G, ∠S
    • ∠S, ∠G, ∠D
    • ∠D, ∠S, ∠G

  2. Luz draws the top half of a kite as triangle FHU, with FH = 17, HU = 8, UF = 12 inches. Which list orders its angles from smallest to largest?

    • ∠F, ∠H, ∠U
    • ∠H, ∠U, ∠F
    • ∠F, ∠U, ∠H
    • ∠U, ∠H, ∠F

  3. Milo sketches the front of a tent as triangle QVW, with QV = 6.5, VW = 10, WQ = 5 m. Which list orders its angles from smallest to largest?

    • ∠Q, ∠W, ∠V
    • ∠V, ∠W, ∠Q
    • ∠V, ∠Q, ∠W
    • ∠W, ∠Q, ∠V

  4. Noah sketches a boat's sail as triangle CGY, with CG = 20, GY = 13, YC = 16 cm. Which list orders its angles from smallest to largest?

    • ∠C, ∠G, ∠Y
    • ∠C, ∠Y, ∠G
    • ∠Y, ∠G, ∠C
    • ∠G, ∠Y, ∠C

  5. Pia draws the roof of a house as triangle FGH, with FG = FH, m∠G = (3x − 11)° and m∠H = (2x + 16)°. What is x?

  6. Ren draws one face of a pyramid model as triangle SUW, with SU = SW, m∠U = (4x + 1)° and m∠W = (2x + 17)°. What is x?

  7. Tala draws the side of a tower's pointed roof as triangle DQV, with DQ = DV, m∠Q = (5x − 16)° and m∠V = (3x + 20)°. What is x?

  8. Zee sketches the side of a skate ramp as triangle CHY, with CH = CY, m∠H = (4x − 22)° and m∠Y = (2x + 4)°. What is x?

  9. Ari draws the top half of a kite as equilateral triangle DFU, with DF = (3x + 4) cm and FU = (5x − 10) cm. What is the perimeter, in cm?

  10. Bo measures one triangle patch on a quilt, equilateral triangle GQW, with GQ = (2x + 11) inches and QW = (4x − 5) inches. What is the perimeter, in inches?

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Larger angle opposite the longer side, and isosceles and equilateral triangles

Answer Key - Grade 10 Math Worksheet

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

  1. Kira measures one triangle patch on a quilt, triangle DGS, with DG = 9, GS = 14, SD = 11 cm. Which list orders its angles from smallest to largest?

    • ∠S, ∠D, ∠G
    • ∠D, ∠G, ∠S
    • ∠S, ∠G, ∠D
    • ∠D, ∠S, ∠G

  2. Luz draws the top half of a kite as triangle FHU, with FH = 17, HU = 8, UF = 12 inches. Which list orders its angles from smallest to largest?

    • ∠F, ∠H, ∠U
    • ∠H, ∠U, ∠F
    • ∠F, ∠U, ∠H
    • ∠U, ∠H, ∠F

  3. Milo sketches the front of a tent as triangle QVW, with QV = 6.5, VW = 10, WQ = 5 m. Which list orders its angles from smallest to largest?

    • ∠Q, ∠W, ∠V
    • ∠V, ∠W, ∠Q
    • ∠V, ∠Q, ∠W
    • ∠W, ∠Q, ∠V

  4. Noah sketches a boat's sail as triangle CGY, with CG = 20, GY = 13, YC = 16 cm. Which list orders its angles from smallest to largest?

    • ∠C, ∠G, ∠Y
    • ∠C, ∠Y, ∠G
    • ∠Y, ∠G, ∠C
    • ∠G, ∠Y, ∠C

  5. Pia draws the roof of a house as triangle FGH, with FG = FH, m∠G = (3x − 11)° and m∠H = (2x + 16)°. What is x?

    27

  6. Ren draws one face of a pyramid model as triangle SUW, with SU = SW, m∠U = (4x + 1)° and m∠W = (2x + 17)°. What is x?

    8

  7. Tala draws the side of a tower's pointed roof as triangle DQV, with DQ = DV, m∠Q = (5x − 16)° and m∠V = (3x + 20)°. What is x?

    18

  8. Zee sketches the side of a skate ramp as triangle CHY, with CH = CY, m∠H = (4x − 22)° and m∠Y = (2x + 4)°. What is x?

    13

  9. Ari draws the top half of a kite as equilateral triangle DFU, with DF = (3x + 4) cm and FU = (5x − 10) cm. What is the perimeter, in cm?

    75

  10. Bo measures one triangle patch on a quilt, equilateral triangle GQW, with GQ = (2x + 11) inches and QW = (4x − 5) inches. What is the perimeter, in inches?

    81