I'll solve this worksheet problem by identifying the number of sides and angles for each shape. Let me go through each one systematically.
First, I need to understand what constitutes a "side" and an "angle" in these shapes:
- A side is a straight line segment that forms the boundary of the shape.
- An angle is formed where two sides meet at a vertex (corner).
Let me start with shape 'a' which is already completed as an example - it's a triangle with 3 sides and 3 angles.
Now I'll examine each remaining shape:
Shape b: This appears to be a quadrilateral (4-sided polygon).
- Sides: 4
- Angles: 4
Shape c: This looks like a pentagon (5-sided polygon).
- Sides: 5
- Angles: 5
Shape d: This is a concave quadrilateral (looks like a dart or arrowhead shape).
- Sides: 4
- Angles: 4
Shape e: This is a regular hexagon (6-sided polygon).
- Sides: 6
- Angles: 6
Shape f: This is a complex polygon with 6 sides (looks like an L-shape with an extension).
- Sides: 6
- Angles: 6
Shape g: This appears to be a regular octagon (8-sided polygon).
- Sides: 8
- Angles: 8
Shape h: This is a cross-shaped figure. Counting carefully, it has 12 sides (each arm of the cross contributes 3 sides, and there are 4 arms, but we must be careful not to double count).
Actually, let me recount this more carefully: The cross has 12 sides (4 outer corners, each contributing 3 sides, but actually it's better to trace around: top arm has 3 sides, right arm has 3 sides, bottom arm has 3 sides, left arm has 3 sides, totaling 12 sides).
- Sides: 12
- Angles: 12
Shape i: This is a star-like or zigzag shape. Counting the sides: it has 6 sides (like a chevron or arrow shape).
- Sides: 6
- Angles: 6
Let me verify my counts for the more complex shapes to ensure accuracy.
For shape h (the cross), if I trace around the perimeter: starting from the top, going down the right side of the top arm, then across to the right arm, down the right arm, across the bottom, up the left side of the bottom arm, across to the left arm, up the left arm, and back to the top - this gives us 12 distinct line segments.
For shape i, tracing the perimeter: it has 6 sides forming a zigzag pattern.
Here are the final answers for each shape:
b. 4 sides, 4 angles
c. 5 sides, 5 angles
d. 4 sides, 4 angles
e. 6 sides, 6 angles
f. 6 sides, 6 angles
g. 8 sides, 8 angles
h. 12 sides, 12 angles
i. 6 sides, 6 angles
Parent Tip: Review the logic above to help your child master the concept of shape attributes worksheet.