Partitioning Shapes into Fourths - Math Worksheets - SplashLearn - Free Printable

I'll solve this step by step, examining each shape to determine if it's divided into equal parts and counting those parts if they are equal.

First Shape (Triangle with horizontal line)

- This is a triangle divided by a horizontal dashed line.
- The top part is a smaller triangle, and the bottom part is a trapezoid.
- These two shapes are not the same size or shape, so they are not equal parts.
- Answer: No, NA

Second Shape (Triangle with vertical line)

- This is a triangle divided by a vertical dashed line from the apex to the base.
- If this is an isosceles or equilateral triangle, and the line goes to the midpoint of the base, then the two resulting triangles would be congruent (same size and shape).
- Looking at the image, it appears the line is drawn to divide the triangle symmetrically.
- Answer: Yes, 2

Third Shape (Circle with vertical line)

- This is a circle divided by a vertical dashed line through its center.
- This creates two semicircles, which are equal in size and shape.
- Answer: Yes, 2

Fourth Shape (Circle with cross lines)

- This is a circle divided by two perpendicular dashed lines that intersect at the center.
- This creates four equal sectors (quadrants), each being a quarter of the circle.
- Answer: Yes, 4

Fifth Shape (Square with cross lines)

- This is a square divided by one vertical and one horizontal dashed line, both passing through the center.
- This creates four smaller squares, each being a quarter of the original square.
- Answer: Yes, 4

Now I'll provide the final answers for each shape:

1. Triangle with horizontal line: Are the parts equal? No, Number of equal parts: NA
2. Triangle with vertical line: Are the parts equal? Yes, Number of equal parts: 2
3. Circle with vertical line: Are the parts equal? Yes, Number of equal parts: 2
4. Circle with cross lines: Are the parts equal? Yes, Number of equal parts: 4
5. Square with cross lines: Are the parts equal? Yes, Number of equal parts: 4