Angle-Angle Similarity

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•
Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is Angle-Angle (AA) Similarity?
Back
Angle-Angle (AA) Similarity is a criterion for determining if two triangles are similar. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
2.
FLASHCARD QUESTION
Front
How can you determine if two triangles are similar using angles?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
3.
FLASHCARD QUESTION
Front
What does it mean for triangles to be similar?
Back
Triangles are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are equal and their corresponding sides are in proportion.
4.
FLASHCARD QUESTION
Front
If triangle A has angles of 30°, 60°, and 90°, what are the angles of a similar triangle?
Back
A similar triangle will also have angles of 30°, 60°, and 90°.
5.
FLASHCARD QUESTION
Front
Can two triangles with one angle equal and the other two angles different be similar?
Back
No, two triangles cannot be similar if only one angle is equal; all corresponding angles must be equal.
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of similar triangles?
Back
The lengths of the corresponding sides of similar triangles are proportional.
7.
FLASHCARD QUESTION
Front
If triangle A has sides of lengths 3, 4, and 5, and triangle B has sides of lengths 6, 8, and 10, are they similar?
Back
Yes, triangle A and triangle B are similar because the sides are in proportion (3:6, 4:8, 5:10).
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