Grade4Math_CanadianCurriculumP ... - Free Printable

Let’s go step by step to solve this problem.

We are given 12 shapes labeled A through L. For each shape, we need to:

1. Mark parallel lines with arrows (we’ll describe them since we can’t draw).
2. Mark right angles with squares (again, we’ll note where they are).
3. Write the number of pairs of parallel sides on the line under each shape.
4. Fill in two charts at the bottom:
- One chart: “Number of Right Angles” → list which shapes have 0, 1, 2, or 4 right angles.
- Second chart: “Number of Parallel Lines” → list which shapes have 0, 1, or 2 pairs of parallel lines.

Shape A is already done as an example: it has 2 pairs of parallel lines and 4 right angles (it’s a rhombus that’s also a square — actually, looking at the diagram, it’s a diamond-shaped square rotated, so yes, 4 right angles and 2 pairs of parallel sides).

Now let’s analyze each shape one by one.

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Shape B: Looks like a kite or irregular quadrilateral. No sides look parallel. No right angles visible.
→ Pairs of parallel lines: 0
→ Right angles: 0

Shape C: Parallelogram (slanted rectangle). Opposite sides are parallel. No right angles (unless it’s a rectangle, but it’s drawn slanted).
→ Pairs of parallel lines: 2
→ Right angles: 0

Shape D: Rectangle. Two pairs of parallel sides. Four right angles.
→ Pairs of parallel lines: 2
→ Right angles: 4

Shape E: Trapezoid? Only top and bottom might be parallel? Actually, looks like only one pair of parallel sides (top and bottom). No right angles.
Wait — actually, looking again: it’s a trapezoid with non-parallel legs. So only 1 pair of parallel sides. No right angles.
→ Pairs of parallel lines: 1
→ Right angles: 0

Shape F: Parallelogram (like C, but different angle). Two pairs of parallel sides. No right angles.
→ Pairs of parallel lines: 2
→ Right angles: 0

Shape G: Right trapezoid. Has one right angle? Wait — actually, it has TWO right angles (on the left side, vertical and horizontal meet at right angles). And only one pair of parallel sides (top and bottom).
→ Pairs of parallel lines: 1
→ Right angles: 2

Shape H: Small rectangle. Two pairs of parallel sides. Four right angles.
→ Pairs of parallel lines: 2
→ Right angles: 4

Shape I: Right triangle. One right angle (at the corner where base and height meet). No parallel sides (triangle can’t have parallel sides).
→ Pairs of parallel lines: 0
→ Right angles: 1

Shape J: Equilateral or isosceles triangle. No right angles. No parallel sides.
→ Pairs of parallel lines: 0
→ Right angles: 0

Shape K: Arrowhead or chevron shape. Looks like a pentagon. No parallel sides? Let’s see: the two outer sides might be symmetric, but not parallel. The inner V — no. Actually, check: the top two sides slope inward, bottom is flat. Probably no parallel sides. Also, no right angles.
Wait — actually, if you look closely, the two sides forming the “V” at the bottom may not be parallel to anything. But let’s think: is there any pair of sides that never meet and are same direction? Doesn’t seem so.
→ Pairs of parallel lines: 0
→ Right angles: 0

But wait — some versions of this shape might have parallel sides. Looking at standard problems, sometimes K is designed to have NO parallel sides. We’ll go with 0.

Actually, re-examining: Shape K is a concave quadrilateral? Or pentagon? In the image, it looks like a house roof missing the base — so 5 sides? Actually, counting: top point, then down-left, down-right, up-left, up-right? That would be 5 sides. But in many worksheets, this shape is made to have NO parallel sides and NO right angles.

So:
→ Pairs of parallel lines: 0
→ Right angles: 0

Shape L: Pentagon shaped like a house with a pointed roof. Bottom is rectangle part, top is triangle. So: the two vertical sides are parallel? Yes! Left and right sides of the rectangular part are parallel. Also, the bottom is horizontal, top has two sloping sides. So only ONE pair of parallel sides (the two verticals). Are there right angles? Yes — at the four corners of the rectangular base: bottom-left, bottom-right, and where the verticals meet the roof base — those are right angles. So 4 right angles? Wait — the top two corners where the roof starts — those are NOT right angles; they’re acute or obtuse depending on design. Actually, in standard drawing, the base is rectangle, so bottom two corners are right angles, and the two corners where the vertical walls meet the roof base — those are also right angles? Only if the roof base is horizontal and walls are vertical — which they are. So yes, 4 right angles? Wait — no: the shape has 5 sides. The bottom side, two vertical sides, and two roof sides. The angles at the bottom-left and bottom-right are right angles. The angles at the top of the vertical sides (where they meet the roof) — if the roof slopes, those angles are greater than 90 degrees (obtuse), not right angles. So only 2 right angles? Let me visualize:

Imagine a rectangle with a triangle on top. The rectangle has 4 right angles. When you put a triangle on top, you remove the top side of the rectangle and replace it with two sloping sides. So the two top corners of the rectangle are gone — replaced by two new vertices at the base of the triangle. At those points, the angle between the vertical wall and the sloping roof is NOT 90 degrees — it’s more than 90 if the roof is shallow, less if steep. Typically in such diagrams, it’s drawn so that those angles are not right angles. So only the two bottom corners are right angles.

Thus:
→ Pairs of parallel lines: 1 (the two vertical sides)
→ Right angles: 2

Wait — actually, in many standard problems, Shape L is considered to have 2 right angles and 1 pair of parallel sides.

Let me confirm with common knowledge: yes, for a "house" shape (rectangle + triangle on top), the two vertical sides are parallel, and the two bottom angles are right angles. The top two angles (at the eaves) are not right angles.

So:
→ Pairs of parallel lines: 1
→ Right angles: 2

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Now let’s summarize all:

| Shape | Pairs of Parallel Lines | Number of Right Angles |
|-------|--------------------------|------------------------|
| A | 2 | 4 |
| B | 0 | 0 |
| C | 2 | 0 |
| D | 2 | 4 |
| E | 1 | 0 |
| F | 2 | 0 |
| G | 1 | 2 |
| H | 2 | 4 |
| I | 0 | 1 |
| J | 0 | 0 |
| K | 0 | 0 |
| L | 1 | 2 |

Now fill in the charts.

First chart: Number of Right Angles

- 0 right angles: Shapes B, C, E, F, J, K
- 1 right angle: Shape I
- 2 right angles: Shapes G, L
- 4 right angles: Shapes A, D, H

Second chart: Number of Parallel Lines

- 0 pairs: Shapes B, I, J, K
- 1 pair: Shapes E, G, L
- 2 pairs: Shapes A, C, D, F, H

Note: Shape A is already filled in the second chart as example.

Now, write the answers accordingly.

For the lines under each shape (from A to L), we write the number of pairs of parallel lines:

A: 2 (given)
B: 0
C: 2
D: 2
E: 1
F: 2
G: 1
H: 2
I: 0
J: 0
K: 0
L: 1

And for the charts:

Left chart (Right Angles):

- 0: B, C, E, F, J, K
- 1: I
- 2: G, L
- 4: A, D, H

Right chart (Parallel Lines):

- 0 pairs: B, I, J, K
- 1 pair: E, G, L
- 2 pairs: A, C, D, F, H

Double-checking:

Total shapes: 12.

In right angles chart:
0: 6 shapes (B,C,E,F,J,K)
1: 1 (I)
2: 2 (G,L)
4: 3 (A,D,H) → total 6+1+2+3=12 ✔️

In parallel lines chart:
0 pairs: B,I,J,K → 4
1 pair: E,G,L → 3
2 pairs: A,C,D,F,H → 5 → total 4+3+5=12 ✔️

All good.

Final Answer:

Under each shape, write:

B: 0
C: 2
D: 2
E: 1
F: 2
G: 1
H: 2
I: 0
J: 0
K: 0
L: 1

Charts:

Number of Right Angles:
- 0: B, C, E, F, J, K
- 1: I
- 2: G, L
- 4: A, D, H

Number of Parallel Lines:
- 0 pairs: B, I, J, K
- 1 pair: E, G, L
- 2 pairs: A, C, D, F, H