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 Geometry 30 Flashcards |
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What is the definition of a point in geometry? |
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A point is a location in space that has no size or dimension. It is often represented by a dot and named by a capital letter. |
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What is the formula for the area of a rectangle? |
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The area of a rectangle is calculated using the formula: Area = length × breadth. |
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What are complementary angles? |
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Complementary angles are two angles whose measures add up to 90 degrees. |
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How do you calculate the circumference of a circle? |
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The circumference of a circle is calculated using the formula: Circumference = 2πr, where r is the radius. |
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What is Heron's formula for the area of a triangle? |
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Heron's formula states: Area = √(s(s-a)(s-b)(s-c)), where s = (a+b+c)/2 is the semi-perimeter. |
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If a triangle has sides of lengths 3, 4, and 5, is it a right triangle? Hint: Use the Pythagorean theorem. |
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Yes, it is a right triangle. According to the Pythagorean theorem, 3² + 4² = 5², which is true since 9 + 16 = 25. |
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What is the sum of the interior angles of a quadrilateral? |
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The sum of the interior angles of a quadrilateral is 360 degrees. |
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What is the formula for the volume of a cylinder? |
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The volume of a cylinder can be calculated using the formula: Volume = πr²h, where r is the radius and h is the height. |
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If the sides of a triangle are in the ratio 3:4:5, what type of triangle is it? Hint: Check the relationship between the sides. |
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It is a right triangle because it follows the Pythagorean theorem, where 3² + 4² = 5². |
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What are vertically opposite angles? |
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Vertically opposite angles are angles that are opposite each other when two lines intersect. They are equal in measure. |
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What is the formula for the surface area of a sphere? |
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The surface area of a sphere is calculated using the formula: Surface Area = 4πr², where r is the radius. |
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If a line segment has endpoints (2, 3) and (4, 7), what is the midpoint? Hint: Use the midpoint formula. |
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The midpoint M is calculated as M = ((x₁ + x₂)/2, (y₁ + y₂)/2) = ((2 + 4)/2, (3 + 7)/2) = (3, 5). |
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What is the area of a triangle with a base of 10 and a height of 5? |
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Using the formula Area = 1/2 × base × height, the area is 1/2 × 10 × 5 = 25. |
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What is the relationship between the exterior angles of a polygon? |
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The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides. |
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Card: 29 / 30 |
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Card: 30 / 30 |
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Completed! Keep practicing to master all of them. |
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