Similar Triangles and Pythagorean Theorem

Flashcard
•
Mathematics
•
10th Grade
•
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 Pythagorean Theorem?
Back
A mathematical principle stating that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².
3.
FLASHCARD QUESTION
Front
If two triangles are similar, what can be said about their corresponding sides?
Back
The lengths of their corresponding sides are proportional.
4.
FLASHCARD QUESTION
Front
How do you find the length of a side in similar triangles?
Back
Use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown length.
5.
FLASHCARD QUESTION
Front
What is the relationship between the angles of similar triangles?
Back
All corresponding angles are equal.
6.
FLASHCARD QUESTION
Front
How do you apply the Pythagorean Theorem to find the length of a side?
Back
Identify the lengths of the two shorter sides (a and b), square them, add the results, and take the square root to find the hypotenuse (c).
7.
FLASHCARD QUESTION
Front
What is the formula to calculate the diagonal of a rectangle?
Back
Diagonal (d) = √(length² + width²).
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