IM Geo.3.11 Practice: Splitting Triangle Sides with Dilation, Part 2

ForfatterGeoGebra Classroom Activities, IM Algebra 1, Geometry, Algebra 2

Segment is parallel to segment . What is the length of segment ?

What is the length of segment ?

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

In right triangle , and . A new triangle is formed by connecting the midpoints of and . What is the area of triangle ?

What is the area of triangle ?

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

Which of these statements is true?

Sæt kryds ved dit svar

A
To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.
B
To know whether 2 triangles are similar, it is enough to know the length of 1 side.
C
To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.
D
To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.

Tjek mine svar (3)

Are triangles and similar in the applet below? Show or explain your reasoning.

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

What is the length of segment in the applet below?

The triangle is taken to triangle 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.

IM Geo.3.11 Practice: Splitting Triangle Sides with Dilation, Part 2

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