Polygons: diagonals and exterior angles
Grade 10 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
Ari sews a six-sided quilt patch. All six sides are 5 cm, and the angles take turns: 100°, 140°, 100°, 140°, 100°, 140°. Which name fits the patch?
- Convex and regular
- Concave, not regular
- Convex, not regular
- Concave and regular
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?
- Concave, not regular
- Concave and regular
- Convex, not regular
- Convex and regular
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?
- Concave, not regular
- Concave and regular
- Convex and regular
- Convex, not regular
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 and regular
- Convex, not regular
- Concave and regular
- Concave, not regular
Kira draws a 12-sided shape in crayon. A diagonal joins corner C to a corner that is not next to it. How many diagonals start at C?
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?
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?
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?
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?
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?