If a geometric figure undergoes a dilation with scale factor , the lengths of its sides are tripled. What happens to the interior angles of the image?
Loading subject…
Practise MYP Standard Mathematics questions on 7 Geometry of Shapes, Surface Area and Volume and review the explanations to check your understanding.
Use these questions for topic practice and to find ideas you want to revisit in your notes or lessons.
If a geometric figure undergoes a dilation with scale factor , the lengths of its sides are tripled. What happens to the interior angles of the image?
Which of the following best explains why the vertical height cannot be used directly as the height of the triangular faces when calculating a pyramid's surface area?
True or False: If a figure is first reflected across the -axis and then translated by the vector , the final image is congruent to the original pre-image.
Consider a cone with base radius and vertical height . A sphere also has radius . What is the ratio of the volume of this specific cone to the volume of the sphere?
True or False: If a sphere has a volume of , then the volume of the smallest cylinder that can circumscribe it is exactly .
The angles are squared compared to the pre-image
The angles are three times the size of the pre-image
The angles remain the same as the pre-image
The angles are one-third the size of the pre-image
Pythagoras' Theorem only applies to curved surfaces.
The triangular face is tilted, making its actual height (the slant height) longer than the vertical height.
The vertical height is only used for volume, not for any surface calculations.
The base of the triangle is not perpendicular to the vertical height.
True
False
True
False
2:3
1:3
1:4
1:2