points and lines
This fundamental, zero-dimensional geometric object represents a specific location in space and has no size.
what is a point
This is the term for two angles whose measures add up to exactly 90.
What are complementary angles
This is the name given to a triangle that has three sides of entirely different lengths.
What is a scalene triangle?
This is the term for a straight line segment whose endpoints both lie on the outer boundary of a circle.
What is a chord?
: This is the formula used to calculate the area of a trapezoid.
What is \(A = \frac{1}{2}(b_1 + b_2)h\)?
This term describes three or more points that lie on the exact same straight line.
What is collinear
Formed by two intersecting lines, these non-adjacent angles are always congruent to each other.
What are vertical angles?
In a right triangle, this trigonometric ratio is defined as the length of the opposite side divided by the hypotenuse.
What is sine
This type of straight line intersects a circle at exactly one distinct point.
What is a tangent line?
To find the volume of this sharp-tipped 3D solid, you take one-third of the product of its base area and its height.
What is a pyramid (or a cone)?
If line segment (AB) has endpoints at (2, 3) and (8, 11), these are the coordinates of its midpoint.
What is (5, 7)
When a transversal cuts parallel lines, these specific interior angles on opposite sides of the transversal are equal.
What are alternate interior angles?
If a right triangle has a hypotenuse of length \(13\) and one leg of length \(5\), this is the length of the missing leg.
What is 12?
If a circle has a radius of \(7\text{ cm}\), this is its exact circumference expressed in terms of \(\pi \).
What is \(14\pi\text{ cm}\)?
If a cube has a total surface area of \(150\text{ cm}^2\), this is the length of one of its edges.
What is \(5\text{ cm}\)?
If a line has a slope of -3/4, any line perpendicular to it must have this slope
what is 4/3
This is the total sum of the interior angles of a regular hexagon.
What is 720
In a \(30^\circ-60^\circ-90^\circ\) special right triangle, if the shortest leg is \(x\), this is the length of the hypotenuse.
What is \(2x\)?
An inscribed angle that opens up to intercept a semicircle always measures exactly this many degrees.
What is \(90^{\circ }\)
If you double all the linear dimensions of a 3D solid shape, its total volume increases by this factor.
What is 8? (\(2^3 = 8\))
This standard formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), is derived directly from the Pythagorean Theorem.
What is the Distance Formula?
This geometric theorem states that the measure of an exterior angle of a triangle equals the sum of its two remote interior angles.
What is the Exterior Angle Theorem?
This theorem or inequality states that the sum of the lengths of any two sides of a triangle must be strictly greater than the length of the third side.
What is the Triangle Inequality Theorem?
A circle is represented by the equation \((x-3)^2 + (y+4)^2 = 25\). These are the coordinates of its center point.
What is \((3, -4)\)?
: This is the exact volume of a sphere that has a radius of \(3\text{ inches}\), expressed in terms of \(\pi \).
What is \(36\pi\text{ cubic inches}\)