HG U4D5 Side Splitter Theorem Sept24

Last updated 12 months ago

14 questions

1

How does the segment parallel to one side of a triangle divide the other sides proportionally?

First, complete the lesson in desmos. Look for the link in Google Classroom.

Segment A'B'  is parallel to segment AB.

1

What is the length of segment AB?
AB = _______ 

1

What is the length of segment B'B?
B'B = _______ 

Explain how you know that segment DE is not parallel to segment BC.

1

What is the area of triangle ABC?
Area = _______ units2

1

What is the area of triangle DEC?
Area = _______ units2

1

Does the scale factor for the side lengths apply to the area as well?

To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.

True

False

To know whether 2 triangles are similar, it is enough to know the length of 1 side.

True

False

To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.

True

False

To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.

True

False

1

Are triangles ABC and DEF similar? Show or explain your reasoning.

1

If possible, find the length of EF. If not, explain why the length of EF cannot be determined.

1

What is the length of segment DF?
DF = _______ 

The triangle ABC is taken to triangle A'B'C' by a dilation. Select all of the scale factors for the dilation that would result in an image that was smaller than the original figure.

Further Exploration
https://www.geogebra.org/m/AVyhyK64

What is the length of segment AB?
AB = _______ 

What is the length of segment B'B?
B'B = _______ 

What is the area of triangle ABC?
Area = _______ units2

What is the area of triangle DEC?
Area = _______ units2

Does the scale factor for the side lengths apply to the area as well?

To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.

True

False

To know whether 2 triangles are similar, it is enough to know the length of 1 side.

True

False

To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.

True

False

To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.

True

False

Are triangles  ABC and DEF similar? Show or explain your reasoning.

If possible, find the length of EF. If not, explain why the length of EF cannot be determined.

The triangle ABC is taken to triangle A'B'C' by a dilation. Select all of the scale factors for the dilation that would result in an image that was smaller than the original figure.

1.7

1

2

0.33