Triangles and Circles for Grade 7

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What is a triangle?
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A triangle is a polygon with three edges and three vertices.
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How is the perimeter of a triangle calculated?
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The perimeter of a triangle is calculated by adding the lengths of all three sides.
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What is the sum of interior angles in any triangle?
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The sum of the interior angles in any triangle is always 180 degrees.
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Define an equilateral triangle.
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An equilateral triangle has all three sides of equal length and all three interior angles are 60 degrees.
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Define an isosceles triangle.
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An isosceles triangle has at least two sides of equal length and two equal angles opposite those sides.
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Define a scalene triangle.
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A scalene triangle has all sides of different lengths and all interior angles are different.
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What distinguishes an acute triangle?
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An acute triangle has all three interior angles less than 90 degrees.
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What is a right triangle?
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A right triangle has one interior angle that is exactly 90 degrees.
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What is an obtuse triangle?
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An obtuse triangle has one interior angle that is greater than 90 degrees.
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What is the formula for the area of a triangle?
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The area of a triangle is calculated as 1/2 * base * height.
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Define a circle.
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A circle is a round, 2D shape where all points are equidistant from a central point called the center.
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What is the circumference of a circle?
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The circumference of a circle is the distance around the circle, calculated as 2πr, where r is the radius.
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What is the radius of a circle?
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The radius of a circle is the distance from the center of the circle to any point on its edge.
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What is the diameter of a circle?
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The diameter of a circle is the distance across the circle through its center, and it is equal to 2 times the radius.
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How is the area of a circle calculated?
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The area of a circle is calculated as πr^2, where r is the radius.
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What is a chord in a circle?
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A chord is a line segment with both endpoints on the circle.
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What is a tangent to a circle?
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A tangent is a line that touches the circle at exactly one point.
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What is a secant line?
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A secant line intersects the circle at two points.
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Explain what a sector of a circle is.
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A sector is a portion of a circle enclosed between two radii and an arc.
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What is an arc in a circle?
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An arc is a portion of the circumference of a circle.
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