Adding Mixed Numbers Worksheets - Free Printable

The task appears to involve identifying patterns or rules in the given shapes and determining what the next shape in each sequence should be. Let's analyze each part step by step:

---

Part (a):

- The sequence shows three circles, each divided into two halves.
- The first circle is divided vertically.
- The second circle is divided horizontally.
- The third circle is divided diagonally from top-left to bottom-right.

Pattern: The division lines rotate clockwise by 45 degrees with each subsequent shape.
- Next Shape: The division line should continue rotating clockwise by 45 degrees. Therefore, the next division line will be diagonal from top-right to bottom-left.

Answer for (a): A circle divided diagonally from top-right to bottom-left.

---

Part (b):

- The sequence shows squares divided into smaller triangles.
- The first square is divided into 4 triangles.
- The second square is divided into 4 triangles.
- The third square is divided into 4 triangles.
- The fourth square is divided into 2 triangles.

Pattern: The number of triangles decreases from 4 to 2 in the last shape. This suggests a reduction in complexity or division.

Answer for (b): A square divided into 1 triangle (i.e., the entire square as one triangle).

---

Part (c):

- The sequence shows triangles with different internal divisions.
- The first triangle has no internal divisions.
- The second triangle has one internal line dividing it into two regions.
- The third triangle has two internal lines dividing it into three regions.
- The fourth triangle has three internal lines dividing it into four regions.
- The fifth triangle has no internal divisions.

Pattern: The number of internal lines increases sequentially (0, 1, 2, 3) and then resets to 0.

Answer for (c): A triangle with one internal line dividing it into two regions.

---

Part (d):

- The sequence shows parallelograms.
- The first parallelogram is oriented such that its longer sides are horizontal.
- The second parallelogram is rotated 90 degrees clockwise.

Pattern: The parallelogram rotates 90 degrees clockwise with each subsequent shape.

Answer for (d): A parallelogram rotated another 90 degrees clockwise (i.e., its longer sides will be vertical).

---

Part (e):

- The sequence shows rectangles composed of smaller squares.
- The first rectangle has 5 squares.
- The second rectangle has 6 squares.
- The third rectangle has 7 squares.

Pattern: The number of squares increases by 1 with each subsequent shape.

Answer for (e): A rectangle composed of 8 squares.

---

Final Answers:

- (a): A circle divided diagonally from top-right to bottom-left.
- (b): A square divided into 1 triangle.
- (c): A triangle with one internal line dividing it into two regions.
- (d): A parallelogram rotated 90 degrees clockwise.
- (e): A rectangle composed of 8 squares.

Boxed Final Answer:
\[
\boxed{\text{(a) Diagonal from top-right to bottom-left, (b) One triangle, (c) One internal line, (d) Rotated 90 degrees, (e) 8 squares}}
\]