Triangle Inequality
Angle Relationships
Angles of Triangles
Angles of Polygons
Similar Triangles
100
Can side lengths of 4, 6, and 8 form a triangle?
Yes
4+6 > 8
100
What kind of angles have measures that have a sum of their measures is 180º?
Supplementary angles.
100
a = 60 degrees
100
Is this a polygon?
No
100
Are the triangles similar?
Yes, they have two angles that match.
200
Can side lengths of 8, 11, and 19 form a triangle? Explain
No, 8+11 is not bigger than 19. Equal doesn't count.
200
What kind of angles share a common side and have the same vertex?
Adjacent angles
200
Find the interior angles
21 degrees, 136 degrees, 23 degrees
200
Solve for x.
x = 120 degrees
200
Are the triangles similar?
Yes, they share 55 degree angles and vertical angles.
300
Can side lengths of 5, 7, and 13 form a triangle? Explain
No, 5 + 7 is not bigger than 13.
300
What kind of angles have measures that add up to 90º?
Complementary
300
Solve for h.
h = 92 degrees
300
Find the measures of the two missing angles.
100 degrees and 132 degrees
300
x = 2/3
400
Two sides of a triangle measure 6cm and 10 cm. Describe the possible lengths of the third side.
10-6=4; 10+6=16
4 < x < 16
400
If x and y are right angles, then x and y are ___________ complementary. (sometimes, always, or never)
Never complementary
400
Find the interior angle measure of each angle in a regular decagon.
144 degrees
400
Find the height of the tree.
15 feet
500
Two sides of a triangle measure 8 inches and 13 inches. What is the smallest length for the third side that is an integer?
13-8=5. 5 will not work. Decimals are not integers.
6 is the smallest.
500
If x and y are vertical angles, then y ___________ has the same measure as x. (sometimes, always, never).
Always the same.
500
Find x.
x = 20
500
A large flagpole stands outside of an office building. Marquis realizes that when he looks up from the ground, 60 m away from the flagpole, that the top of the flagpole and the top of the building line up. If the flagpole is 35 m tall, and Marquis is 170 m from the building, how tall is the building?
99.2 M