Dilation and Angles in Triangles

In this video, Mr. Boskin explores the concept of dilation in geometry, focusing on grade 8 math. The lesson begins with an introduction to dilating quadrilateral ABCD using a scale factor of 2. It then moves on to dilating triangles and calculating various scale factors. The video provides instructions for drawing and labeling dilated triangles, emphasizing the importance of understanding scale factors. Finally, the lesson concludes with a right triangle problem, where students learn to calculate the remaining angles given one angle. Throughout the video, Mr. Boskin uses clear examples and step-by-step explanations to enhance understanding.

What is the scale factor used to dilate quadrilateral ABCD?

• 4

• 1

• 2

• 3

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

• 3

• 1/2

• 1

• 2

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

• 1/2

• 3

• 1

• 1/3

When drawing a dilation of triangle ABC with a scale factor of 2, what happens to the coordinates of point A?

• They are tripled

• They are doubled

• They remain the same

• They are halved

What is the effect of a scale factor of 1/2 on triangle ABC?

• It enlarges the triangle

• It reduces the triangle

• It flips the triangle

• It keeps the triangle the same size

Is the smaller blue triangle a dilation of the larger black triangle?

• Yes, with a scale factor of 1/4

• Yes, with a scale factor of 2

• Yes, with a scale factor of 1/2

• No, they are unrelated

What is the center of dilation for the triangles discussed?

• Point A

• Point B

• The origin

• Point C

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

• 90 degrees

• 82 degrees

• 72 degrees

• 62 degrees

What is the sum of all angles in a triangle?

• 90 degrees

• 360 degrees

• 180 degrees

• 270 degrees

If angle D in triangle DEF is 28 degrees, what is the measure of angle F?

• 62 degrees

• 120 degrees

• 28 degrees

• 90 degrees