Quadrilaterals Worksheets - Math Monks - Free Printable
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Step-by-step solution for: Quadrilaterals Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Quadrilaterals Worksheets - Math Monks
Let’s go through each shape one by one and figure out what kind of quadrilateral it is.
Remember: A quadrilateral is any four-sided shape. But there are special types with specific rules — like having equal sides, right angles, or parallel sides.
We’ll look at the markings on each shape:
- Small squares = right angles (90°)
- Single tick marks = those sides are equal in length
- Double tick marks = those sides are equal to each other (but maybe not to single-tick sides)
- Arrows = those sides are parallel
---
Shape 1:
- Has 4 right angles → so it’s a rectangle or square.
- Opposite sides have same number of ticks → opposite sides equal.
- Adjacent sides have different ticks → not all sides equal → NOT a square.
→ So this is a rectangle.
Shape 2:
- 4 right angles → rectangle or square.
- All sides have double ticks → all sides equal.
→ So this is a square.
Shape 3:
- No right angles marked.
- No side lengths marked as equal.
- Only one pair of sides looks parallel? Actually, looking closely — no arrows, but visually only top and bottom might be parallel? Wait — actually, in standard problems like this, if no markings show parallelism or equality, we go by appearance + basic definition.
But wait — let’s check: It has 4 sides, no right angles, no equal sides shown, and only ONE pair of sides appears parallel (top and bottom). That makes it a trapezoid (in US terms — one pair of parallel sides).
Actually, in many curricula, trapezoid = exactly one pair of parallel sides. This shape fits that.
→ Trapezoid
Shape 4:
- Opposite sides have same tick marks → opposite sides equal.
- No right angles.
- Looks like opposite sides are parallel (even though no arrows, the shape suggests it).
→ This is a parallelogram.
Wait — could it be a rhombus? Rhombus needs ALL sides equal. Here, adjacent sides have different ticks → so not all equal → not rhombus. Just parallelogram.
→ Parallelogram
Shape 5:
- Has two arrows on top and bottom → those sides are parallel.
- Other two sides are slanted and not marked as equal or parallel.
→ Exactly one pair of parallel sides → Trapezoid
Shape 6:
- 4 right angles → rectangle or square.
- Opposite sides have same ticks → opposite sides equal.
- Adjacent sides have different ticks → not all equal → not square.
→ Rectangle
Shape 7:
- 4 right angles → rectangle or square.
- All sides have double ticks → all sides equal.
→ Square
Shape 8:
- No right angles.
- Two pairs of adjacent sides equal (marked with double ticks on left/right, single ticks on top/bottom? Wait — let's see:
Looking again: Top two sides have single ticks → equal to each other. Bottom two sides have double ticks → equal to each other. But top ≠ bottom.
Also, no parallel sides marked.
This is a kite — two distinct pairs of adjacent sides equal.
Yes! Kite definition: two pairs of adjacent congruent sides.
→ Kite
---
Now let’s list them clearly:
1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Square
8. Kite
Final Answer:
1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Square
8. Kite
Remember: A quadrilateral is any four-sided shape. But there are special types with specific rules — like having equal sides, right angles, or parallel sides.
We’ll look at the markings on each shape:
- Small squares = right angles (90°)
- Single tick marks = those sides are equal in length
- Double tick marks = those sides are equal to each other (but maybe not to single-tick sides)
- Arrows = those sides are parallel
---
Shape 1:
- Has 4 right angles → so it’s a rectangle or square.
- Opposite sides have same number of ticks → opposite sides equal.
- Adjacent sides have different ticks → not all sides equal → NOT a square.
→ So this is a rectangle.
Shape 2:
- 4 right angles → rectangle or square.
- All sides have double ticks → all sides equal.
→ So this is a square.
Shape 3:
- No right angles marked.
- No side lengths marked as equal.
- Only one pair of sides looks parallel? Actually, looking closely — no arrows, but visually only top and bottom might be parallel? Wait — actually, in standard problems like this, if no markings show parallelism or equality, we go by appearance + basic definition.
But wait — let’s check: It has 4 sides, no right angles, no equal sides shown, and only ONE pair of sides appears parallel (top and bottom). That makes it a trapezoid (in US terms — one pair of parallel sides).
Actually, in many curricula, trapezoid = exactly one pair of parallel sides. This shape fits that.
→ Trapezoid
Shape 4:
- Opposite sides have same tick marks → opposite sides equal.
- No right angles.
- Looks like opposite sides are parallel (even though no arrows, the shape suggests it).
→ This is a parallelogram.
Wait — could it be a rhombus? Rhombus needs ALL sides equal. Here, adjacent sides have different ticks → so not all equal → not rhombus. Just parallelogram.
→ Parallelogram
Shape 5:
- Has two arrows on top and bottom → those sides are parallel.
- Other two sides are slanted and not marked as equal or parallel.
→ Exactly one pair of parallel sides → Trapezoid
Shape 6:
- 4 right angles → rectangle or square.
- Opposite sides have same ticks → opposite sides equal.
- Adjacent sides have different ticks → not all equal → not square.
→ Rectangle
Shape 7:
- 4 right angles → rectangle or square.
- All sides have double ticks → all sides equal.
→ Square
Shape 8:
- No right angles.
- Two pairs of adjacent sides equal (marked with double ticks on left/right, single ticks on top/bottom? Wait — let's see:
Looking again: Top two sides have single ticks → equal to each other. Bottom two sides have double ticks → equal to each other. But top ≠ bottom.
Also, no parallel sides marked.
This is a kite — two distinct pairs of adjacent sides equal.
Yes! Kite definition: two pairs of adjacent congruent sides.
→ Kite
---
Now let’s list them clearly:
1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Square
8. Kite
Final Answer:
1. Rectangle
2. Square
3. Trapezoid
4. Parallelogram
5. Trapezoid
6. Rectangle
7. Square
8. Kite
Parent Tip: Review the logic above to help your child master the concept of polygon and quadrilateral worksheet.