Lines & Angles
These are two angles whose measures add up to exactly 90°.
What are complementary angles?
In a right triangle, this is the side opposite the right angle and is always the longest side.
What is the hypotenuse?
This is a segment whose endpoints both lie on the circle.
What is a chord?
A traditional Hawaiian pahu (drum) is shaped like this 3D figure, which has two circular bases.
What is a cylinder?
This transformation "flips" a figure over a line, creating a mirror image.
What is a reflection?
This is the specific name for two angles that are opposite each other when two lines intersect; they are always congruent.
What are vertical angles?
This is a triangle where at least two sides are of equal length.
What is an isosceles triangle?
This is a line segment that passes through the center of a circle and has endpoints on the circle.
What is the diameter?
If a rectangular taro patch (loʻi) has a length of 20 meters and a width of 15 meters, this is its total area.
What is 300 square meters?
This transformation slides a figure a fixed distance in a specific direction without rotating or flipping it.
What is a translation?
When two parallel lines are cut by a transversal, these types of angles are on opposite sides of the transversal and inside the parallel lines.
What are alternate interior angles?
This theorem states that for any right triangle with legs a and b, the relationship to the hypotenuse c is a^2+b^2=c^2
What is the Pythagorean Theorem?
This is the name for a line that intersects a circle at exactly one point.
What is a tangent line?
To find the area of a triangular sail on a waʻa (canoe) with a base of 10ft and a height of 12ft, you would use this formula.
What is 60 square feet? A=1/2 b*h
A rotation of this many degrees will result in a figure that looks exactly like the original, but upside down.
What is 180°?
If two parallel lines are cut by a transversal, these two interior angles on the same side of the transversal are supplementary.
What are consecutive (or same-side) interior angles?
In right triangle trigonometry, this ratio is defined as the length of the opposite side over the length of the adjacent side.
What is tangent (or tan)?
This is the region of a circle bounded by two radii and their intercepted arc (often looking like a "slice of pie").
What is a sector?
A cylindrical water tank in Upcountry Maui has a radius of 3 meters and a height of 4 meters. To the nearest whole number, this is its volume.
What is 113 cubic meters?
( V=pi(3^2)(4) )
If a shape can be rotated less than 360° around its center and still look exactly like the original, it is said to have this.
What is rotational symmetry?
This is the measure of an interior angle of a regular hexagon.
What is 120°? (Formula: n(n−2)180)
In a 30-60-90 triangle, if the shorter leg is x, this is the length of the longer leg.
What is xsqrt(3) ?
If a central angle is 80°, this is the measure of an inscribed angle that intercepts the same arc.
What is 40°?
If a volcanic cinder cone is perfectly conical with a radius r and height h , this is the formula used to find its volume.
What is V=1/3 pi r^2h ?
This type of transformation changes the size of a figure but keeps its shape, making it "similar" rather than "congruent."
What is a dilation?