Unit 6 - Angles and Triangles

Question 1

When angles have the same measure and are identical, they are called…

Answer 1

Congruent Angles

Question 2

Each of the pairs of opposite angles made by two intersecting lines

Answer 2

Vertical Angles

Question 3

Two angles are _________ if they share a common ray… they are directly next to each other and do not overlap.

Answer 3

Adjacent

Question 4

Complementary angles are two angles whose sum is …

Answer 4

90 degrees

Question 5

Supplementary angles are two angles whose sum is…

Answer 5

180 degrees

Question 6

A line that passes through two lines is called the…

Answer 6

transversal

Question 7

When a transversal cuts through two parallel lines, the angles INSIDE (between) the parallel lines are called…

Answer 7

Interior Angles

Question 8

When a transversal cuts through two parallel lines, the angles OUTSIDE the parallel lines are called…

Answer 8

Exterior Angles

Question 9

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…

Answer 9

Alternate Interior Angles
(These pairs of angles are equal to each other)

Question 10

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…

Answer 10

Alternate Exterior Angles
(These pairs of angles are equal to each other)

Question 11

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…

Answer 11

Corresponding Angles
(These pairs of angles are equal to each other)

Question 12

The sum of the measures of angles in a triangle is …

Answer 12

180 degrees

Question 13

An angle with a measurement < 90 degrees is called a …

Answer 13

Acute Angle

Question 14

An angle with a measurement > 90 degrees is called a …

Answer 14

Obtuse Angle

Question 15

An angle with a measurement= 90 degrees is called a …

Answer 15

Right Angle

Question 16

A triangle with three acute angles is classified as…

Answer 16

Acute Triangle

Question 17

A triangle with one obtuse angle is classified as…

Answer 17

Obtuse Triangle
(one obtuse angle and other two will be acute)

Question 18

A triangle with one right angle is called…

Answer 18

Right Triangle
(one right angle and other two will be acute)

Question 19

When a triangle has three sides of equal length, it is called…

Answer 19

Equilateral

Question 20

When a triangle has only two sides of equal length, it is called…

Answer 20

Isosceles

Question 21

When a triangle has three sides of different length, it is called…

Answer 21

Scalene

Question 22

Explain the Triangle Inequality Theorem

Answer 22

The SUM of the lengths of any two sides of a triangle is GREATER than the length of the third side

Question 23

The longest side of a right triangle is called…

Answer 23

the Hypotenuse
(it is across from the right angle and labeled side “c” for the Pythagorean Theorem)

Question 24

The two sides that create the right angle of a right triangle are called…

Answer 24

the Legs
(labeled sides “a” and “b” for the Pythagorean Theorem

Question 25

Explain the Pythagorean Theorem

Answer 25

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.