Worksheet

Polygons: diagonals and exterior angles

Grade 10 Math Worksheet - Building Confidence

NameDate

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

  1. Bo measures a rug with four right angles. Two sides are 4 ft long and the other two are 7 ft long. Which name fits the rug?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  2. A park map shows a five-sided flower bed that Esme will plant. Its sides have different lengths, and the angle at corner G is 200°. Which name fits the flower bed?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  3. Jun cuts a six-sided paper sticker with every side 4 cm. Corner F is folded in, so the angle at F is 240°. Which name fits the sticker?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  4. Luz draws a 9-sided rug design. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

  5. Milo cuts out a 14-sided paper shape. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

  6. Noah sketches a 16-sided window. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

  7. Pia walks around a five-sided park path, turning at each corner. The first four turns (exterior angles) are 72°, 85°, 64° and 58°. What is the turn at the last corner, in degrees?

  8. Ren rides a bike around a five-sided loop, turning at each corner. The first four turns (exterior angles) are 90°, 47°, 76° and 83°. What is the turn at the last corner, in degrees?

  9. Tala walks a six-sided path on a map, turning at each corner. The first five turns (exterior angles) are 50°, 62°, 48°, 71° and 59°. What is the turn at the last corner, in degrees?

  10. Zee jogs around a six-sided track, turning at each corner. The first five turns (exterior angles) are 44°, 67°, 53°, 80° and 61°. What is the turn at the last corner, in degrees?

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Polygons: diagonals and exterior angles

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

  1. Bo measures a rug with four right angles. Two sides are 4 ft long and the other two are 7 ft long. Which name fits the rug?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  2. A park map shows a five-sided flower bed that Esme will plant. Its sides have different lengths, and the angle at corner G is 200°. Which name fits the flower bed?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  3. Jun cuts a six-sided paper sticker with every side 4 cm. Corner F is folded in, so the angle at F is 240°. Which name fits the sticker?

    • Convex, not regular
    • Convex and regular
    • Concave, not regular
    • Concave and regular

  4. Luz draws a 9-sided rug design. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

    6

  5. Milo cuts out a 14-sided paper shape. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

    11

  6. Noah sketches a 16-sided window. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?

    13

  7. Pia walks around a five-sided park path, turning at each corner. The first four turns (exterior angles) are 72°, 85°, 64° and 58°. What is the turn at the last corner, in degrees?

    81

  8. Ren rides a bike around a five-sided loop, turning at each corner. The first four turns (exterior angles) are 90°, 47°, 76° and 83°. What is the turn at the last corner, in degrees?

    64

  9. Tala walks a six-sided path on a map, turning at each corner. The first five turns (exterior angles) are 50°, 62°, 48°, 71° and 59°. What is the turn at the last corner, in degrees?

    70

  10. Zee jogs around a six-sided track, turning at each corner. The first five turns (exterior angles) are 44°, 67°, 53°, 80° and 61°. What is the turn at the last corner, in degrees?

    55