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. 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?

   • ∠D, ∠S, ∠G
   • ∠D, ∠G, ∠S
   • ∠S, ∠G, ∠D
   • ∠S, ∠D, ∠G
2. 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
   • ∠F, ∠U, ∠H
   • ∠H, ∠U, ∠F
   • ∠U, ∠H, ∠F
3. 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?

   • ∠W, ∠Q, ∠V
   • ∠Q, ∠W, ∠V
   • ∠V, ∠Q, ∠W
   • ∠V, ∠W, ∠Q
4. 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, ∠Y, ∠G
   • ∠C, ∠G, ∠Y
   • ∠Y, ∠G, ∠C
   • ∠G, ∠Y, ∠C
5. 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. 6.

   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
7. 7.

   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
8. 8.

   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
9. 9.

   Esme traces a wedge of cheese as equilateral triangle HSV, with HS = (6x − 5) cm and SV = (4x + 9) cm. What is the perimeter, in cm?

   111
10. 10.

    Jun sketches the front of a tent as equilateral triangle CDY, with CD = (7x − 8) m and DY = (5x + 4) m. What is the perimeter, in m?

    102