
Intro to Triangular Similarity
Presentation
•
Mathematics
•
8th - 11th Grade
•
Medium
+3
Standards-aligned
David Miller
Used 113+ times
FREE Resource
10 Slides • 17 Questions
1
by Coach Miller
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Open Ended
Which one doesn't belong? WHY?
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Congruence
Same size, same shape
Similarity
same shape
different size
proportional (by ratio) side lengths
-corresponding sides have the same scale factor
all angles are congruent (same)
beneficial to write down
5
Multiple Choice
What is the ratio of any two corresponding sides? oldnew
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-If you know two angles, then you can find the third.
-While all angles are congruent, we only state AA~
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8
Multiple Choice
The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________.
adjacent; equal
complementary; scalene
congruent; similar
supplementary; isosceles
9
Multiple Choice
10
Multiple Choice
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13
Multiple Choice
The Side-Side-Side Similarity (SSS ~) Theorem states if the corresponding sides of two triangles are _____________________, then the triangles are _________________.
proportional (same ratio); similar
similar, proportional
congruent; congruent
equal; equilateral
14
Multiple Choice
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Multiple Choice
The Side-Angle-Side Similarity (SAS ~) Theorem states that if two sides of one triangle are ________________ to two sides of another triangle and their _________________ angles are congruent, then the triangles are similar.
adjacent; intersect
complementary; form
adjacent; create
proportional (same ratio); included
18
Multiple Choice
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SSS & SAS can be used to determine if triangles are similar or congruent
If side lengths are proportional (same ratio) = similar
If side lengths are the same = congruent
20
Multiple Choice
What is triangular similarity
when two triangles have three congruent sides.
when all sides of two triangles are congruent.
when the ratio of each side length and the angle measures are all the same.
when the sides of two triangles are the same length and the measure of each angle is the same.
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Multiple Choice
Give the reason for similarity
AA
SAS
SSS
Not similar
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Multiple Choice
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Multiple Choice
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Open Ended
Essential Question: What information would you use to prioritize two triangles to determine if they are similar?
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Multiple Choice
Do you think these triangles are similar?
26
Multiple Choice
Determine if the triangles are similar. If they are, identify the triangle similarity theorem(s) that prove(s) the similarity.
AA ~ Theorem
SAS ~ Theorem
SSS ~ Theorem
Not similar
27
Multiple Choice
Which triangle is not similar to any of the others?
A
B
C
D
by Coach Miller
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