Triangle Congruence and Dilation Concepts

The video tutorial covers eighth-grade illustrative math focusing on dilations, scale factors, and geometry. It explains how to calculate the image length of a segment after dilation with various scale factors, plot points for dilations, and understand triangle scaling. The tutorial also includes finding missing angles in intersecting lines and demonstrating congruence between triangles.

If segment AB measures 3 cm and is dilated by a scale factor of 5, what is the length of the new segment?

• 18 cm

• 10 cm

• 15 cm

• 8 cm

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

• 9.8 cm

• 12.5 cm

• 10.5 cm

• 11.1 cm

When plotting point C as the image of B using A as the center of dilation with a scale factor of 2, where should C be placed?

• Halfway between A and B

• At B

• Beyond B by one length

• At A

If triangle ABC is a scaled copy of triangle DEF with a scale factor of 3/2, what is the scale factor of DEF to ABC?

• 2/3

• 3/2

• 1/3

• 1/2

What is the scale factor from triangle DEF to triangle ABC if side DE is 8 cm and side AB is 12 cm?

• 3/2

• 2/3

• 4/3

• 1/2

If angle A measures 78 degrees, what is the measure of angle C, which is vertical to angle A?

• 45 degrees

• 102 degrees

• 78 degrees

• 90 degrees

What is the measure of angle B if it is opposite to an angle measuring 102 degrees?

• 90 degrees

• 45 degrees

• 102 degrees

• 78 degrees

To show that two triangles are congruent, which transformation is used in this section?

• Dilation

• Reflection

• Rotation

• Translation

If angle DEF is 36.9 degrees, what is the measure of angle ABC, which is congruent to it?

• 36.9 degrees

• 108.4 degrees

• 45 degrees

• 90 degrees

What is the measure of angle CAB if it is congruent to angle FDE, which measures 34.7 degrees?

• 90 degrees

• 108.4 degrees

• 45 degrees

• 34.7 degrees