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GEOMETRY
Grade 3

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3. Congruent and Similar Figures
Congruent Figures – The figures that have same shape and same size.
Similar Figures – The figures that have same shape but may have different sizes.
Congruent figures
Similar figures

4. Write whether the figures are congruent or similar.
Answer –
Congruent – A
Similar - B A B

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Line of Symmetry
A line on which a figure can be folded so that both sides match.

6. Translation, Reflection and Rotation
Translation (slide) – To move a figure along a line.
Reflection (flip) – A movement of a figure across a line, producing a mirror image.
Rotation (turn) – A figure that is rotated around a point.

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Reflection
Translation
Rotation

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Perimeter
Perimeter - The distance around an object or a shape.
Example – The perimeter of the given figure is
= 19 units
8 units
6 units
5 units

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Area
Area – The number of square units needed to cover a region or figure.
Example – The area of the given figure (square) is 16 square units
4 units

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Volume
Volume – The amount of the space that a 3-dimensional figure encloses.
Example – The volume of figure shown (cube) is 64 cubic units.
4 units

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The two lenses in Irene’s eyeglasses are circular in shape. They are of the same size. Are they similar, congruent or both?
Answer- Both

12. Find the perimeter of the given hexagon.
5 cm
Answer – 30 cm

13. Find each area in square units. = 1 square unit
A B

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A room is 14 meter long and 6 meter wide. What is the area of the room?

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What is the volume of the rectangular prism that is 5 cm long, 4 cm wide and 6 cm high?

16. Find the volume of the given figure.

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Find out how each figure was moved. Write reflection, rotation or transition.
A B

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ASSESSMENT

19. 1. Which statement is correct?
Congruent figures are similar.
Similar figures are congruent.
Congruent figures have non-similar shapes.
Similar figures have same sides.

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Write the number sentence that makes equation true. Perimeter = 11 ft + 14 ft + █ = 36ft
14 ft
11 ft

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3. What is the area of the floor that is not carpeted ( in square units)? 16 14 12 15
Shaded part shows carpeted floor

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4. Bunny’s book is 6 units long, 4 units wide and 2 units high. What is the volume of the book?

23. 5. Write whether the figures are similar, congruent or neither.
A B C

24. 6. Write yes or no to tell if each line is a line of symmetry.
A B C D

25. 7. Find the perimeter of the given figure.
1 cm
3 cm
4 cm
5 cm
1 cm
6 cm

26. 8. Is the given figure congruent?

27. 9. Find the volume of the given figure (cubic units).

28. 10. Draw the line of symmetry of the following figures.
A B C

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Recap
Similar and Congruent figures
Line of symmetry
Transition, Rotation and Reflection
Perimeter
Area
Volume
Practice problems
Solved Examples

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