Triangles
How many degrees are in a triangle?
180°
What is a quadrilateral?
A four-sided closed figure
What relationship do vertical angles have?
They are congruent.
Do lines have to be parallel for linear pairs to be supplementary?
No; they are always supplementary
What is the acronym used for setting up trig ratio problems?
SohCahToa
What kind of triangle has two equal sides?
Isosceles
How many degrees are in a quadrilteral?
360°
What do we call two angles that add to 90°?
Complementary angles
What is the relationship between alternate interior angles if lines are parallel?
Congruent
adjacent over hypotenuse
What is the name of a triangle with an angle over 90 degrees and no equal sides?
Obtuse scalene
What are the four shapes in the parallelogram family?
Parallelogram, rhombus, rectangle, square
What are adjacent angles?
Angles that share a side and a vertex.
If <1 is 20°, what is the measure of an angle that has a consecutive interior relationship with <1?
160°
Use Pythagorean Theorem
Do these side lengths form a triangle or not?: 5, 7, 15
What makes a trapezoid different than a parallelogram?
It only has one pair of parallel sides
What is a linear pair?
A pair of angles that are adjacent and supplementary.
When are corresponding angles not congruent?
When lines are not parallel.
What formulas can be used to find sides and angles in non-right triangles?
Law of Sines & Law of Cosines
Is this a right triangle?
Side lengths are 4, 6, and 9
No, 16 + 36 ≠ 81
Four equal sides, four right angles, congruent diagonals, diagonals bisect each other, diagonals bisect vertex angles, opposite sides parallel, perpendicular diagonals.
What are perpendicular lines?
Lines that intersect to form right angles.
Angles that are on opposite sides of the transversal and outside the parallel lines.
Why can tangent be more than 1 when sine and cosine cannot?
Tangent does not use hypotenuse; sine and cosine both have hypotenuse (the longest side) in the denominator, so the can never be greater than 1.