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10th grade Larger angle opposite the longer side, and isosceles and equilateral triangles worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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

Grade 10 Math Worksheet - Building Confidence

NameDate

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

  1. Luz draws the top half of a kite as triangle HQS, with m∠H = 46° and m∠Q = 63°. Which side of the triangle is the longest?

    • You cannot tell without the side lengths.
    • HQ
    • HS
    • QS

  2. Milo draws the pointed roof of a castle tower as triangle UWV, with m∠U = 29° and m∠W = 54°. Which side of the triangle is the longest?

    • UV
    • WV
    • UW
    • You cannot tell without the side lengths.

  3. Noah traces a pizza slice as triangle CYD, with m∠C = 52° and m∠Y = 61°. Which side of the triangle is the longest?

    • You cannot tell without the side lengths.
    • CD
    • YD
    • CY

  4. Pia draws the roof of a house as triangle FGH, with FG = FH and m∠F = 36°. What is m∠G, in degrees?

  5. Ren sketches a boat's sail as triangle QSU, with QS = QU and m∠Q = 58°. What is m∠S, in degrees?

  6. Tala labels half of a sandwich as triangle VWC, with VW = VC and m∠V = 106°. What is m∠W, in degrees?

  7. Zee traces a wedge of cheese as triangle DGS, with DG = DS and m∠D = 124°. What is m∠G, in degrees?

  8. Bo draws one face of a pyramid model as triangle CFQ, with CF = CQ and m∠F = 67°. What is m∠C, in degrees?

  9. Esme sketches the side of a skate ramp as triangle SVY, with SV = SY and m∠V = 43°. What is m∠S, in degrees?

  10. Jun traces a watermelon slice as triangle GDU, with GD = GU and m∠D = 71°. What is m∠G, in degrees?

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10th grade Larger angle opposite the longer side, and isosceles and equilateral triangles worksheet – printable
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About this worksheet

Larger angle opposite the longer side, and isosceles and equilateral triangles. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can name the longest side of a triangle from its angles, and order the angles from the side lengths.
  • I can use equal sides and equal base angles of an isosceles triangle, and the equal sides of an equilateral triangle, to find an angle, x or a perimeter.
  • I can solve for x when the angles are written with x, and then use the answer to order the sides or find an angle.

Standard: G-CO.C.10

Words to know

opposite (across from): The side that a corner does not touch; ∠G is across from side DF.

isosceles triangle: A triangle with two equal sides (legs), marked with the same tick.

base angles: The two angles at the ends of the base, across from the equal legs. Equal.

vertex angle: The angle between the two equal legs, at the top.

equilateral triangle: A triangle with all three sides equal; every angle is 60°.

exterior angle: The angle outside a triangle, made by extending one side.

m∠G: The measure of ∠G in degrees.

Common mistakes

Your child picked the side across from the larger angle given and did not find the third angle first.

Your child matched each angle with the side across from it but turned the order around (largest with shortest).

Your child thought the side lengths were needed to find the longest side.

What to say

Ask: what is the unmarked angle?

Ask: does a bigger angle open onto a longer side?

Ask: which angle is the biggest, and which side faces it?

Questions parents ask

What is the most common mistake with larger angle opposite the longer side, and isosceles and equilateral triangles?

Your child picked the side across from the larger angle given and did not find the third angle first.

How can I help my child with larger angle opposite the longer side, and isosceles and equilateral triangles?

Ask: what is the unmarked angle?

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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