Parallel Lines and Dilation Concepts

Mr. Holcomb presents a lesson on the fundamental theorem of similarity, focusing on dilation and scale factors. He explains a classwork exercise involving the calculation of lengths using a scale factor and demonstrates how to connect points and measure segments accurately. The lesson also covers the analysis of parallel lines and corresponding angles, concluding with a summary of key points.

What is the scale factor used in the dilation of points R and S from center O?

• 5

• 4

• 3

• 2

If the original length of segment OR is 2.3 cm, what is the length of the dilated segment OR'?

• 7.9 cm

• 4.6 cm

• 5.9 cm

• 6.9 cm

What is the length of segment OS' if OS is 3.5 cm and the scale factor is 3?

• 9.5 cm

• 10.5 cm

• 11.5 cm

• 12.5 cm

What is the relationship between the lines containing segments RS and R'S'?

• They intersect

• They are parallel

• They are perpendicular

• They are skew

If segment RS is 38 mm, what is the length of segment R'S' given the scale factor is 3?

• 118 mm

• 112 mm

• 114 mm

• 116 mm

How do you express the relationship between the lengths of RS and R'S'?

• As a ratio

• As a product

• As a sum

• As a difference

Which angle is equal to angle S'R'T if RS and R'S' are parallel?

• Angle S'R'U

• Angle SRT

• Angle R'S'U

• Angle RST

What is the measure of angle R'S'U if angle RSU is 150 degrees?

• 130 degrees

• 140 degrees

• 150 degrees

• 160 degrees

Why are angles S'R'T and SRT considered congruent?

• They are vertical angles

• They are corresponding angles

• They are supplementary angles

• They are alternate interior angles

What is the significance of identifying parallel lines in this lesson?

• To calculate the area

• To find the midpoint

• To determine congruent angles

• To measure the perimeter