Angle Relationships and Dilation Problems

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 provides a comprehensive overview of these geometric concepts, emphasizing practical applications and problem-solving techniques.

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

• 8 cm

• 15 cm

• 10 cm

• 18 cm

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

• 12.5 cm

• 10.5 cm

• 9.5 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?

• At A

• At B

• Beyond B by one length

• Halfway to B

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?

• 3/2

• 3/4

• 1/2

• 2/3

What is the measure of angle A if it is opposite to a 102-degree angle in intersecting lines?

• 60 degrees

• 90 degrees

• 78 degrees

• 102 degrees

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

• 78 degrees

• 102 degrees

• 60 degrees

• 90 degrees

How can you show that two triangles are congruent?

• Scale one triangle

• Translate one triangle

• Rotate one triangle

• Reflect across the y-axis

If angle DEF is 36.9 degrees, what is the measure of angle ABC if they are congruent?

• 60 degrees

• 90 degrees

• 45 degrees

• 36.9 degrees

What is the side length of DE if it is equal to the side length of AB, which is 5 units?

• 3 units

• 5 units

• 7 units

• 9 units

If angle EFD is 108.4 degrees, what is the measure of angle BCA if they are congruent?

• 100 degrees

• 120 degrees

• 90 degrees

• 108.4 degrees