Unit 6 - Angles and Triangles Flashcards
When angles have the same measure and are identical, they are called…
Congruent Angles
Each of the pairs of opposite angles made by two intersecting lines
Vertical Angles
Two angles are _________ if they share a common ray… they are directly next to each other and do not overlap.
Adjacent
Complementary angles are two angles whose sum is …
90 degrees
Supplementary angles are two angles whose sum is…
180 degrees
A line that passes through two lines is called the…
transversal
When a transversal cuts through two parallel lines, the angles INSIDE (between) the parallel lines are called…
Interior Angles
When a transversal cuts through two parallel lines, the angles OUTSIDE the parallel lines are called…
Exterior Angles
When a transversal cuts through two parallel lines, the angles INSIDE (between) the parallel lines that are on OPPOSITE sides of the transversal and ARE NOT ADJACENT are called…
Alternate Interior Angles
(These pairs of angles are equal to each other)
When a transversal cuts through two parallel lines, the angles OUTSIDE the parallel lines that are on OPPOSITE sides of the transversal and ARE NOT ADJACENT are called…
Alternate Exterior Angles
(These pairs of angles are equal to each other)
When a transversal cuts through two parallel lines, the angles which are in the SAME POSITION on the parallel lines in relation to the transversal are called…
Corresponding Angles
(These pairs of angles are equal to each other)
The sum of the measures of angles in a triangle is …
180 degrees
An angle with a measurement < 90 degrees is called a …
Acute Angle
An angle with a measurement > 90 degrees is called a …
Obtuse Angle
An angle with a measurement= 90 degrees is called a …
Right Angle
A triangle with three acute angles is classified as…
Acute Triangle
A triangle with one obtuse angle is classified as…
Obtuse Triangle
(one obtuse angle and other two will be acute)
A triangle with one right angle is called…
Right Triangle
(one right angle and other two will be acute)
When a triangle has three sides of equal length, it is called…
Equilateral
When a triangle has only two sides of equal length, it is called…
Isosceles
When a triangle has three sides of different length, it is called…
Scalene
Explain the Triangle Inequality Theorem
The SUM of the lengths of any two sides of a triangle is GREATER than the length of the third side
The longest side of a right triangle is called…
the Hypotenuse
(it is across from the right angle and labeled side “c” for the Pythagorean Theorem)
The two sides that create the right angle of a right triangle are called…
the Legs
(labeled sides “a” and “b” for the Pythagorean Theorem
Explain the Pythagorean Theorem
In a RIGHT triangle where “a” and “b” are the legs and “c” is the hypotenuse, then
a^2 +b^2 = c^2
You can use the Pythagorean Theorem to find the length of a missing side of a right triangle.
