Dilation and Angle Relationships

The video tutorial covers eighth-grade illustrative math, focusing on dilations without a grid. It explains how to calculate the image length of a segment after dilation with various scale factors. The tutorial also demonstrates plotting points for dilations using different centers and scale factors. It discusses triangle scaling, finding missing angles in intersecting lines, and proving triangle congruence. The video provides a comprehensive understanding of these geometric concepts through practical examples and calculations.

What is the length of the image of segment AB after a dilation with a scale factor of 5?

• 5 cm

• 15 cm

• 3 cm

• 10 cm

If segment AB is 3 cm, what is its length after a dilation with a scale factor of 3.7?

• 11.1 cm

• 10 cm

• 9 cm

• 12 cm

What is the length of the image of segment AB after a dilation with a scale factor of 3.7?

• 12 cm

• 9 cm

• 10 cm

• 11.1 cm

What is the result of applying a scale factor of 1/5 to a 3 cm segment?

• 3 cm

• 0.6 cm

• 0.3 cm

• 1.5 cm

What is the result of multiplying a 3 cm segment by a scale factor of s?

• 3s cm

• s/3 cm

• s cm

• 3 cm

What is the equivalent of six-tenths of a centimeter in terms of fractions?

• 3/5 cm

• 1/2 cm

• 1/3 cm

• 2/3 cm

What is the length of the image of segment AB after a dilation with a scale factor of 1/5?

• 0.6 cm

• 1.5 cm

• 0.3 cm

• 3 cm

How do you plot point C if it is the image of B using A as the center of dilation with a scale factor of 2?

• Move towards B and stop halfway

• Move beyond B by one full length

• Stay at A

• Move towards B and stop at B

If point D is the image of A using B as the center of dilation with a scale factor of 2, where do you plot D?

• Move past A by one full unit

• Stay at B

• Move towards A and stop halfway

• Move towards A and stop at A

If E is the image of B using A as the center of dilation with a scale factor of 1/2, where do you plot E?

• Move towards B and stop halfway

• Move beyond B by one full length

• Move towards B and stop at B

• Stay at A