Geometry Final

Flashcard
•
Mathematics
•
10th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the probability of two independent events occurring together?
Back
The probability of two independent events A and B occurring together is given by P(A ∩ B) = P(A) * P(B).
2.
FLASHCARD QUESTION
Front
If a coin is tossed and a number cube is rolled, what is the probability of getting tails and a 3?
Back
The probability of getting tails (1/2) and rolling a 3 (1/6) is P(Tails ∩ 3) = (1/2) * (1/6) = 1/12.
3.
FLASHCARD QUESTION
Front
What does the notation (x, y) → (x - 2, y + 3) represent in geometry?
Back
This notation represents a translation of a point (x, y) 2 units to the left and 3 units up.
4.
FLASHCARD QUESTION
Front
How do you find the length of a side in a triangle using the Pythagorean theorem?
Back
In a right triangle, the length of a side can be found using a² + b² = c², where c is the hypotenuse.
5.
FLASHCARD QUESTION
Front
What is the solution to the equation 2x + 10 = 80?
Back
To solve for x, subtract 10 from both sides: 2x = 70, then divide by 2: x = 35.
6.
FLASHCARD QUESTION
Front
Define the term 'complementary angles'.
Back
Complementary angles are two angles whose measures add up to 90 degrees.
7.
FLASHCARD QUESTION
Front
What is the formula for the area of a triangle?
Back
The area of a triangle is given by the formula: Area = 1/2 * base * height.
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