Scaled Figures and Ratios

The video tutorial covers scaled relationships in geometry, focusing on identifying true statements about scaled copies of polygons, solving problems involving scaled quadrilaterals, and determining scale factors between figures. Additionally, it addresses a paint mixing problem to find equivalent ratios. The tutorial emphasizes understanding geometric scaling, angle preservation, and ratio equivalence.

Which statement is true about the angles in a scaled copy of a polygon?

• All angles are multiplied by the scale factor.

• All angles are halved.

• All angles remain the same.

• All angles become right angles.

How many obtuse angles does the scaled copy of polygon Q have?

• One

• Two

• Three

• Four

If the scale factor between two quadrilaterals is 1/2, what happens to the side lengths?

• They are doubled.

• They remain the same.

• They are halved.

• They are tripled.

If point P corresponds to point A in a scaled quadrilateral, what does point Q correspond to?

• Point B

• Point C

• Point D

• Point E

In a scaled figure, if the distance between two points is 6 units, what is the distance in the original figure with a scale factor of 1/3?

• 2 units

• 18 units

• 12 units

• 3 units

What is the scale factor if the distance between two points in the original figure is 3 units and 9 units in the scaled figure?

• 1/2

• 1/3

• 3

• 2

If the distance between two points in the original figure is 1 unit, what is the distance in the scaled figure with a scale factor of 3?

• 1 unit

• 2 units

• 3 units

• 4 units

What is the distance between points B and D in the original figure if the distance between Q and S in the scaled figure is 9 units with a scale factor of 3?

• 9 units

• 6 units

• 3 units

• 1 unit

What is the ratio of pink to blue paint in two batches if one batch has a ratio of 6:5?

• 18:15

• 9:7

• 6:5

• 12:10

What is the equivalent ratio of pink to blue paint for three batches if one batch has a ratio of 6:5?

• 18:15

• 6:5

• 12:10

• 24:20