What are similar triangles?
Solving similar triangles

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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) similarity criterion?
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 is the Side-Side-Side (SSS) similarity criterion?
Back
If the corresponding sides of two triangles are in proportion, then the triangles are similar.
4.
FLASHCARD QUESTION
Front
What is the Side-Angle-Side (SAS) similarity criterion?
Back
If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.
5.
FLASHCARD QUESTION
Front
How do you find the length of a side in similar triangles?
Back
Use the proportion of the corresponding sides. If triangle ABC is similar to triangle DEF, then AB/DE = AC/DF = BC/EF.
6.
FLASHCARD QUESTION
Front
If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?
Back
The ratio of their areas is the square of the ratio of their corresponding sides. (AB/DE)² = (4/8)² = 1/4.
7.
FLASHCARD QUESTION
Front
What is the relationship between the angles of similar triangles?
Back
The corresponding angles of similar triangles are equal.
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