Exploring Dilations and Scale Factors

What indicates that two figures are similar?

• They have the same shape but different sizes.

• Their angles are different.

• They have the same color.

• They have the same size and shape.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

How do you determine if two triangles are similar?

• By checking if their areas are equal.

• By checking if they have the same number of sides.

• By comparing the ratios of their corresponding sides.

• By measuring their perimeters.

Tags

CCSS.8.G.A.4

CCSS.8.G.A.5

What is a dilation in geometry?

• A transformation that changes a figure's color.

• A transformation that changes a figure's size but not its shape.

• A transformation that changes a figure's orientation.

• A transformation that makes a figure symmetrical.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

What does the scale factor determine in a dilation?

• The size change of the figure.

• The orientation of the figure.

• The symmetry of the figure.

• The color intensity of the figure.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

If the scale factor is greater than 1, what happens to the figure?

• It becomes asymmetrical.

• It becomes larger.

• It becomes smaller.

• It rotates.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

In the context of dilations, what does a scale factor less than 1 but greater than 0 indicate?

• The figure will shrink.

• The figure will change color.

• The figure will rotate.

• The figure will grow larger.

Tags

CCSS.8.G.A.3

How do you find the coordinates of a dilated image with a scale factor of 2?

• Subtract 2 from each coordinate.

• Divide each coordinate by 2.

• Multiply each coordinate by 2.

• Add 2 to each coordinate.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

What is the result of a dilation when the scale factor is 1/2?

• The figure becomes a circle.

• The figure's size doubles.

• The figure's size remains unchanged.

• The figure's size is reduced by half.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

If a triangle's coordinates are dilated with a scale factor of 1/4, what happens to its size?

• It remains the same.

• It reduces to a quarter of its original size.

• It doubles.

• It quadruples.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4

What does a scale factor of 2 imply about the dilation?

• The figure shrinks to half its size.

• The figure grows to twice its size.

• The figure's shape changes.

• The figure's orientation changes.

Tags

CCSS.8.G.A.3

CCSS.8.G.A.4