Dilation and Angles in Triangles

This video tutorial covers the concept of dilations in geometry, focusing on problems involving quadrilaterals and triangles. It explains how to perform dilations with different scale factors and centers, and how to calculate angles in right triangles. The tutorial provides step-by-step instructions for each problem, helping students understand the geometric transformations and their properties.

What is the scale factor used to dilate quadrilateral ABCD from point B to B'?

• 3

• 2

• 4

• 1

How do you find the center of dilation for triangles B and C?

• By calculating the area

• By using a protractor

• By measuring the angles

• By drawing straight lines from corresponding angles

If triangle B is a dilation of triangle A with a scale factor of 4, what is the scale factor of triangle A as a dilation of triangle B?

• 4

• 1/4

• 1/2

• 2

What is the scale factor when triangle B is a dilation of triangle C?

• 1/3

• 2/3

• 3/2

• 1/2

When dilating triangle ABC with a scale factor of 2, how do you find the location of A'?

• Move twice the distance from the center

• Move half the distance from the center

• Move the same distance from the center

• Move three times the distance from the center

What is the scale factor when dilating triangle ABC with a center at (0,0) and a scale factor of 1/2?

• 1

• 2

• 1/4

• 1/2

Is triangle A''B''C'' a dilation of triangle A'B'C'? If yes, what is the scale factor?

• Yes, with a scale factor of 2

• No, it is not a dilation

• Yes, with a scale factor of 1/2

• Yes, with a scale factor of 1/4

What is the sum of all angles in a triangle?

• 360 degrees

• 270 degrees

• 180 degrees

• 90 degrees

If one angle of a right triangle is 28 degrees, what is the measure of the other non-right angle?

• 28 degrees

• 90 degrees

• 62 degrees

• 120 degrees

In a right triangle, if one angle is 90 degrees, what is the sum of the other two angles?

• 120 degrees

• 90 degrees

• 60 degrees

• 45 degrees