End of unit 3 assessment

What is the scale factor of a dilation that enlarges a figure by a factor of 3?

• 3

• 10

• 5

• 1

If a rectangle is dilated with a scale factor of 2, what happens to its area?

• 3 times larger

• Same area

• 2 times larger

• 4 times larger

In a right-angled triangle, if the length of the two shorter sides are 3 and 4, what is the length of the hypotenuse?

• 5

• 7

• 6

• 8

What is the formula for finding the scale factor of a dilation?

• Product of corresponding side lengths

• Sum of corresponding side lengths

• Difference of corresponding side lengths

• Ratio of corresponding side lengths

If a figure is dilated with a scale factor of 0.5, what happens to its perimeter?

• It is halved.

• It remains the same

• It is doubled

• It is tripled

What is the Pythagorean theorem and how is it used to find the length of a side in a right-angled triangle?

• The Pythagorean theorem is used to find the area of a circle by using the formula A = πr^2

• The Pythagorean theorem is used to find the length of a side in a right-angled triangle by using the formula a^2 + b^2 = c^2, where a and b are the lengths of the two shorter sides, and c is the length of the hypotenuse.

• The Pythagorean theorem is used to find the volume of a rectangular prism by using the formula V = lwh

• The Pythagorean theorem is used to find the perimeter of a square by using the formula P = 4s

If a figure is dilated with a scale factor of 1, what happens to its size?

• It becomes larger

• It becomes a different shape

• Its size remains the same

• It becomes smaller

In a dilation, what happens to the angles of the original figure?

• They become larger

• They become smaller

• They remain the same

• They disappear

If the scale factor of a dilation is 0.75, what happens to the length of the sides of the figure?

• The length of the sides remains the same

• The length of the sides doubles

• The length of the sides decreases

• The length of the sides increases

What is the relationship between the legs and the hypotenuse in a right-angled triangle according to the Pythagorean theorem?

• The relationship is defined by the equation a^2 + b^2 = c^2

• The relationship is defined by the equation a * b = c

• The relationship is defined by the equation a - b = c

• The relationship is defined by the equation a + b = c