{{asɛmtiNe Ɔkyerɛwfo}} | Nhomakorabea | Nneɛma a ɛma wotumi yɛ ade

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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.

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Segment A'B' is parallel to segment AB.

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1

What is the length of segment AB?

AB =

1

What is the length of segment B'B?

B'B =

1

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

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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?

1

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

Nokorɛ

Ɛnyɛ ampa

1

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

Nokorɛ

Ɛnyɛ ampa

1

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

Nokorɛ

Ɛnyɛ ampa

1

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

Nokorɛ

Ɛnyɛ ampa

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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.

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1

What is the length of segment DF?

DF =

1

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

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HG U4D5 Side Splitter Theorem Sept24

HG U4D5 Side Splitter Theorem Sept24

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

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.

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

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

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

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.

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

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.

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

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

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

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.