Geometry - JSS3 Mathematics Past Questions and Answers - page 1
Which condition defines similar shapes in geometry?
Corresponding angles are equal and corresponding sides are proportional.
Corresponding angles are equal but corresponding sides may vary.
Corresponding sides are equal and corresponding angles may vary.
Shapes have identical dimensions.
What does enlarging a figure mean in geometry?
Making it smaller while maintaining shape.
Making it larger while maintaining shape.
Changing its shape while maintaining size.
Keeping its size and shape unchanged.
If two rectangles are similar and one has a length of 8 cm and width of 4 cm, while the other has a length of 12 cm, what is its width?
6 cm
8 cm
3 cm
5 cm
What happens to the areas of two similar triangles if their scale factor is 3:2?
They are in the ratio 9:4.
They are in the ratio 3:2.
They are equal.
They are in the ratio 6:4.
If the volume of a cube is increased by a scale factor of 4, what happens to its surface area?
It increases by a factor of 4.
It decreases by a factor of 4.
It decreases by a factor of 4.
It decreases by a factor of 16.
If a circle has a diameter of 6 cm, what would be the diameter of a similar circle with a scale factor of 3:2?
3 cm
4 cm
9 cm
8 cm
Two similar triangles have sides of 4 cm and 6 cm. If the scale factor between them is 3:2, what are the corresponding sides of the larger triangle?
12 cm and 18 cm
6 cm and 9 cm
8 cm and 12 cm
10 cm and 15 cm
Which property is preserved when two shapes are similar?
Perimeter only
Area only
Volume only
All of the above
If the scale factor between two similar squares is 5:3, what is the ratio of their areas?
25:9
5:3
9:25
3:5
Two triangles are similar. The lengths of corresponding sides are in the ratio 3:5. If the smaller triangle has a perimeter of 24 cm, find the perimeter of the larger triangle.
Let the scale factor between the triangles be
𝑘=5/3
Perimeter of the larger triangle =𝑘 × Perimeter of the smaller triangle
Perimeter of the larger triangle
=5/3×24
Perimeter of the larger triangle
=40 cm
Answer: Perimeter of the larger triangle is 40 cm.