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.
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Question 1
1.
What is the length of segment AB?
AB = _______
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Question 2
2.
What is the length of segment B'B?
B'B = _______
Question 3
3.
Explain how you know that segment DE is not parallel to segment BC.
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Question 4
4.
What is the area of triangle ABC?
Area = _______ units2
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Question 5
5.
What is the area of triangle DEC?
Area = _______ units2
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Question 6
6.
Does the scale factor for the side lengths apply to the area as well?
Question 7
7.
To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.
Question 8
8.
To know whether 2 triangles are similar, it is enough to know the length of 1 side.
Question 9
9.
To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.
Question 10
10.
To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.
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Question 11
11.
Are triangles ABC and DEF similar? Show or explain your reasoning.
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Question 12
12.
If possible, find the length of EF. If not, explain why the length of EF cannot be determined.
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Question 13
13.
What is the length of segment DF?
DF = _______
Question 14
14.
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.