Classify Figures worksheet for identifying and drawing geometric shapes based on angle types and line relationships.

Let’s go step by step through each question.

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1. Circle the shapes with acute angles.

Acute angles are angles that are less than 90 degrees — they look “sharp” or “pointy,” like the tip of a pencil.

Look at the shapes:

- First shape: triangle — looks like it has one right angle and two acute angles → ✔ has acute angles
- Second: square — all angles are 90° → ✘ no acute angles
- Third: parallelogram — usually has two acute and two obtuse → ✔ has acute angles
- Fourth: trapezoid — depends, but this one likely has two acute angles (bottom corners) → ✔
- Fifth: diamond (rhombus) — same as parallelogram, often has two acute → ✔

So circle: triangle, parallelogram, trapezoid, rhombus

*(Note: The square does NOT have any acute angles — all are exactly 90°.)*

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2. Circle the shapes with right angles.

Right angles are exactly 90° — like the corner of a book or a square.

Shapes:

- Square → ✔ all angles are right angles
- Rhombus (diamond) → unless it’s a square, its angles are not 90° → ✘ (this one is tilted, so probably not)
- Triangle → looks like a right triangle → ✔ has one right angle
- Rectangle → ✔ all angles are right angles
- Pentagon → regular pentagon has 108° angles → ✘ no right angles

So circle: square, right triangle, rectangle

*(The rhombus here is drawn slanted — if it were a square, it would be upright. So we assume it’s not a square.)*

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3. Circle the shapes with obtuse angles.

Obtuse angles are greater than 90° but less than 180° — they look “wide” or “open.”

Shapes:

- Hexagon → regular hexagon has 120° angles → ✔ obtuse
- Triangle → looks equilateral or acute → ✘ all angles < 90°
- Trapezoid → top angles might be obtuse? Let’s see — in this drawing, the bottom base is longer, so top angles are likely obtuse → ✔
- Pentagon → regular pentagon = 108° → ✔ obtuse
- Parallelogram → has two obtuse angles → ✔

So circle: hexagon, trapezoid, pentagon, parallelogram

*(Triangle is likely all acute — no obtuse angles.)*

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4. Draw a shape with parallel lines.

Parallel lines never meet — they stay the same distance apart forever.

Easy examples: rectangle, square, parallelogram, trapezoid (has one pair), even a letter “H” or “Z”.

You can draw a simple rectangle or just two horizontal lines connected by verticals.

✔ Example: Draw a rectangle — opposite sides are parallel.

Or even simpler: draw two straight lines going left to right, never touching — that’s parallel lines! But since it says “a shape,” better to close it — like a rectangle or parallelogram.

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5. Draw a shape with perpendicular lines.

Perpendicular lines cross at right angles (90°) — like a plus sign (+) or the corner of a square.

Examples: square, rectangle, right triangle, letter “T” or “L”.

✔ Easy: Draw a square or rectangle — adjacent sides are perpendicular.

Or draw an “L” shape — the two lines meet at 90°.

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Now, let’s write the final answers clearly for the student to copy or check.

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Final Answer:

1. Circle: triangle, parallelogram, trapezoid, rhombus
2. Circle: square, right triangle, rectangle
3. Circle: hexagon, trapezoid, pentagon, parallelogram
4. Draw: A rectangle (or any shape with at least one pair of parallel lines — e.g., square, parallelogram, trapezoid)
5. Draw: A square or rectangle (or any shape where two lines meet at 90° — e.g., right triangle, letter “L”)

*(For drawings, you can sketch them on your paper — make sure lines are straight and clear!)*