TRIANGLES
Lots of things change throughout life, but not the measures of the angles in a triangle, which always add up to this
What is 180 degrees?
If we have shown that two triangles have a congruent angle, a congruent angle, and a congruent side, we can conclude that they are congruent triangles using this as our reasoning
What is AAS?
Two angles whose measures add up to 180 degrees are known as this
What is supplementary?
What are cubic units?
Someone who stated the answer was 10.7 inches instead of 11 inches may have committed this type of error
What is a rounding error?
The base angles are always congruent in this kind of triangle
What is an isosceles triangle?
Proving all three angles in two triangles are congruent will not prove that the triangles are congruent, but it will prove that they are this
What is similar?
The letter "X" is a perfect example of two line segments intersecting, forming these types of congruent angles
What are vertical angles?
This formula for the volume of a cylinder is derived from taking the formula for the area of a circle and multiplying it by the height
What is V=(pi)(r^2)(h)?
Someone who jumped right into their proof statements may lose points because they didn't start with the introductory statement known as these
What are the given statements
To find the opposite side of a right triangle given the adjacent side, you will need to use this trigonometric ratio
What is tangent?
Once we have proved two triangles are congruent, we can state that every side and angle in the triangle is congruent to the other using this acronym as our reasoning
What is CPCTC?
Parallel lines cut by a transversal can form many sets of congruent angles; among these are the alternate interior angles, alternate exterior angles, vertical angles, and these
What are corresponding angles?
The formula for a pyramid is V=Bh, where the capital B depends on the base of the pyramid; for a triangular pyramid we would use this formula to represent B
What is (1/2)(b)(h)?
Someone can get the right answer and still only receive one credit, likely because they didn't do this
What is show their work?
This type of triangle has no congruent sides, which means it often fades into the dust in most Geometry curricula
What is a scalene triangle?
This theorem of congruence, found only in right triangles, had its name changed to avoid saying a bad word, and is the only acceptable form of angle-side-side congruence
What is hypotenuse-leg?
In an equilateral triangle, all 3 angles are the same measurement, specifically this
What is 60 degrees?
Taking a rectangle and rotating it continuously about one of its sides will produce this kind of three-dimensional figure
This is the only acceptable type of question on the Regents in which a student can use a pencil
What is a construction?
When finding a missing angle measurement in a right triangle, we will need to use the inverse of the trig ratios; for example, the opposite of sin is this (which has a technical term that most students forget)
What is sin inverse?
When two line segments share a common segment in the middle, we need to use this strategy to prove that the two line segments are congruent
What is segment addition?
In this lesser known theorem, the exterior angle of a triangle is equal to the sum of the two opposite interior angles in the triangle
What is the exterior angle theorem?
Taking the cross section of a cone perpendicular to its base will produce this kind of two-dimensional shape
What is a triangle?
When a student miscalculates 5 times -3, this is known as a computational error, which will lose less credit than this type of error, which represents a lack of understanding of the concept
What is a conceptual error?