similar triangles solving (overlap)
Flashcard
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What are similar triangles?
Back
Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.
2.
FLASHCARD QUESTION
Front
What is the Angle-Angle (AA) criterion for similarity?
Back
If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.
3.
FLASHCARD QUESTION
Front
How do you find the length of a side in similar triangles?
Back
Use the proportion of corresponding sides. If triangle A has sides a, b, c and triangle B has sides x, y, z, then a/x = b/y = c/z.
4.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, and AB = 6, DE = 9, what is the ratio of their sides?
Back
The ratio of their sides is 6:9 or 2:3.
5.
FLASHCARD QUESTION
Front
What is the Side-Side-Side (SSS) criterion for similarity?
Back
If the corresponding sides of two triangles are in proportion, then the triangles are similar.
6.
FLASHCARD QUESTION
Front
If two triangles have sides in the ratio 4:5, what can be said about their angles?
Back
The angles of the triangles are equal, making them similar.
7.
FLASHCARD QUESTION
Front
Solve for x: If triangle ABC is similar to triangle DEF, and AB = 8, DE = 12, and BC = x, EF = 18, find x.
Back
x = (8/12) * 18 = 12.
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