Similar Triangles Theorems

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
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1.
FLASHCARD QUESTION
Front
What does the Side-Angle-Side Similarity (SAS ~) Theorem state?
Back
If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
Tags
CCSS.HSG.SRT.B.5
2.
FLASHCARD QUESTION
Front
What does the Side-Side-Side Similarity (SSS ~) Theorem state?
Back
If the corresponding sides of two triangles are proportional, then the triangles are similar.
Tags
CCSS.HSG.SRT.B.5
3.
FLASHCARD QUESTION
Front
What is the AA similarity criterion?
Back
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
Tags
CCSS.HSG.SRT.A.2
4.
FLASHCARD QUESTION
Front
What is the definition of similar triangles?
Back
Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
5.
FLASHCARD QUESTION
Front
What is the relationship between the angles in similar triangles?
Back
The corresponding angles in similar triangles are equal.
Tags
CCSS.HSG.SRT.A.2
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides in similar triangles?
Back
The corresponding sides in similar triangles are proportional.
Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
7.
FLASHCARD QUESTION
Front
How can you prove that two triangles are similar using the SAS criterion?
Back
Show that two sides of one triangle are proportional to two sides of another triangle and that the included angles are congruent.
Tags
CCSS.HSG.SRT.B.5
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