

Triangle Proportionality Theorem Notes
Presentation
•
Mathematics
•
10th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 18 Questions
1
by Coach Miller
2
Multiple Choice
Two objects that are the same shape but not the same size are _______.
3
Multiple Choice
4
5
6
Multiple Choice
7
Multiple Choice
Are the triangles similar? If yes, what did you use.
Yes, by AA ~
Yes, by SAS ~
Yes, by SSS ~
Not Similar
8
Multiple Choice
Determine if the two figures are similar or not using common ratios.
No, the ratios between corresponding sides are different.
No, because the sides aren't equal.
Yes, because all the ratios are 4 to 1
Yes, because all the ratios are 8 to 1
9
Multiple Choice
(Hint: Look for non-labeled parts!)
10
Multiple Choice
State if the triangles in each pair are similar. If so, state how you know they are similar.
Yes, AA Similarity
Yes, SSS Similarity
Yes, SAS Similarity
Not Similar
11
Multiple Choice
State if the triangles in each pair are similar. If so, state how you know they are similar.
Yes, AA Similarity
Yes, SSS Similarity
Yes, SAS Similarity
Not Similar
12
Multiple Choice
13
Open Ended
Essential Question: What information do you use to prioritize two triangles to determine if they are similar?
14
15
Converse of Side-splitter theorem
If a line divides two sides of a triangle proportionally, then it is parallel to the remaining side
16
Multiple Choice
Using the side-splitter theorem, which segment length would complete the proportion? HEGH=JF?
GF
JH
GJ
EF
17
Multiple Choice
Using the side-splitter theorem, Daniel wrote a proportion for the segments formed by line segment DE. What is EC?
2 unit
2.4 units
3 units
3.75 units
18
Multiple Choice
What is the length of DC? Set up a proportion to solve
2 units
3 units
6 units
9 units
19
Fill in the Blanks
What is the length of GD? Hint: since the lines are parallel, the triangles are similar. Set up a proportion to solve
Type answer...
20
pause for paper folding activity
21
22
Multiple Choice
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown? Ignore the ordered pair stuff
The length of JK equals the length of JL.
The length of GH is half the length of KL.
MN = 21KJ
The slope of GH is half the slope of KL
23
Fill in the Blanks
What is the distance between points M & N?
Type answer...
24
Multiple Select
Which statements about triangle JKL are true? Select two options.
M is the midpoint of line segment KJ.
N is the midpoint of line segment JL.
MN = 21KJ
MN = 4.4
MN = ML
25
Fill in the Blanks
What is the perimeter of triangle JKL?
Type answer...
by Coach Miller
Show answer
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