Angle Vocabulary
Classifying
Pythagorean theorem
Find the missing angle
Missing Angles & Distance
100
Two or more angles that add up to 180 degrees
Supplementary angles
100
What is the definition of an acute angle?
An angle that is less than 90 degrees
100
Use the Pythagorean theorem a2 + b2 = c2 to find the missing side c.
5 cm
100
Find the measure of angle B
25 degrees
100
What is the sum of all of the angles in a triangle?
180 degrees
200
What is the relationship between angle 1 and angle 4?
Vertical angles (angles directly across from each other)
200
What is an equilateral triangle?
A triangle that has all sides equal
(Answers may vary)
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing side x.
25 cm
200
What is the measure of angle C?
50 degrees
200
Which one of these sets of side lengths forms a right triangle?
A. 5, 5, 10
B. 10, 22, 26
C. 19, 23, 21
D. 18, 80, 82
D. 18, 80, 82
300
What is the relationship of angles 3 and 6?
Alternate interior angles
300
What is an isosceles triangle?
A triangles that has two equal sides
(Answers may vary)
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
300
What is the measure of x?
110 degrees
300
What is the measure of angle B and angle C? (Hint: find the value of x first).
m angle B = 58
m angle C = 42
400
What is the relationship of angles 2 and 7?
Alternate exterior angles
400
What is a scalene triangle?
Triangles that have no equal sides
(Answers may vary)
400
Find the height of the bridge above the road (Find x).
2.69 inches, or 2.7 inches
400
Find the measure of angle h
92 degrees
400
What is the distance between the school and the library? Answer should be in the form ____ miles
9.43 miles
500
What is the relationship of angles 2 and 6?
Corresponding angles
500
What is an obtuse triangle?
A triangles that has one angle greater than 90 degrees
(Answers may vary)
500
Find the value of x
x = 13.6 cm
500
Solve for x
x = 15
500
Two boats leave an island at the same time. Boat 1 travels 12 miles east and then 16 miles north. Boat 2 travels 24 miles south and then 18 miles west. What is the distance between the two boats? (NOTE that the axis intervals are different!)
Method 1:
12^2 + 16^2 = 400 -> c= sqrt(400) = 20
24^2 + 18^2 = 900 -> c = sqrt(900) = 30
20 + 30 = 50
Method 2:
18 + 12 = 30, 16 +24 = 40
30^2 + 40^2 = 2500 -> c= sqrt(2500) = 50