Triangle Dilations and Angle Relationships

The video tutorial covers various aspects of dilations in geometry, including calculating the image of a segment after dilation with different scale factors, plotting points for dilations, and understanding the scaling of triangles. It also addresses finding missing angles in intersecting lines and demonstrates the congruence of triangles through reflection and translation. The tutorial is designed for eighth-grade students and provides a comprehensive overview of these geometric concepts.

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

• 10 cm

• 15 cm

• 5 cm

• 3 cm

If segment AB is dilated by a scale factor of 3.7, what is the new length?

• 12 cm

• 9 cm

• 10 cm

• 11.1 cm

How do you plot point C if A is the center of dilation and the scale factor is 2?

• Move to B

• Stay at A

• Move beyond B by one length

• Move halfway towards B

What is the scale factor from triangle DEF to triangle ABC?

• 3/2

• 2/3

• 1/2

• 3/1

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

• 102 degrees

• 45 degrees

• 90 degrees

• 78 degrees

Which angle is vertical to a 102-degree angle in intersecting lines?

• 45 degrees

• 90 degrees

• 102 degrees

• 78 degrees

How can you show that two triangles are congruent?

• Reflect across the y-axis and move down

• Rotate one triangle

• Scale one triangle

• Translate one triangle

What is the side length of DE if it is equal to side AB?

• 5 units

• 3 units

• 8 units

• 12 units

If angle DEF is 36.9 degrees, what is the measure of angle ABC?

• 108 degrees

• 90 degrees

• 45 degrees

• 36.9 degrees

What is the measure of angle BCA if angle EFD is 108.4 degrees?

• 90 degrees

• 36.9 degrees

• 108.4 degrees

• 45 degrees