The video tutorial from MathGuide explains the concept of dilation in geometry, focusing on the center of dilation and the dilation factor, denoted as K. It provides two examples: one with a dilation factor of 0.5, resulting in a smaller triangle, and another with a factor of 1.5, resulting in a larger triangle. The tutorial highlights that dilation preserves angles but changes the size of the figure. It also explains that a K value greater than 1 results in enlargement, while a K value between 0 and 1 results in shrinkage.

What is required to perform a dilation on a shape?

• Only a dilation factor

• A ruler and a protractor

• A center of dilation and a dilation factor

• Only a center of dilation

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CCSS.8.G.A.3

How do you calculate the new position of a point during dilation?

• Add the dilation factor to the original distance

• Multiply the original distance by the dilation factor

• Divide the original distance by the dilation factor

• Subtract the dilation factor from the original distance

Tags

CCSS.8.G.A.3

How is the center of dilation marked in the examples?

• With a dot labeled 'C'

• With a cross

• With a dot labeled 'D'

• With a square

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CCSS.8.G.A.3

What happens to a triangle when it is dilated with a factor of 0.5?

• It changes shape

• It becomes twice as large

• It becomes smaller

• It remains the same size

Tags

CCSS.8.G.A.3

What is the new position of point A when dilated with a factor of 1.5?

• 3 units left and 6 units up from the center

• 2 units left and 4 units up from the center

• 1.5 units left and 3 units up from the center

• 3 units right and 6 units down from the center

Tags

CCSS.8.G.A.3

What is the effect of a dilation factor greater than 1 on a shape?

• It grows

• It remains unchanged

• It rotates

• It shrinks

Tags

CCSS.8.G.A.3

What is the result of dilating a triangle with a factor of 1.5?

• The triangle's area doubles

• The triangle becomes 1.5 times larger

• The triangle's angles become obtuse

• The triangle turns into a different shape

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CCSS.8.G.A.3

What remains unchanged during a dilation?

• The shape's angles

• The shape's color

• The shape's area

• The shape's perimeter

Tags

CCSS.8.G.A.3

What does a dilation factor of less than 1 but greater than 0 do to a shape?

• It changes the shape's color

• It reduces the size of the shape

• It makes the shape rotate

• It enlarges the shape

Tags

CCSS.8.G.A.3

What property of the triangle is preserved after dilation?

• Angles

• Color

• Texture

• Side lengths

Tags

CCSS.8.G.A.3