Triangles
An equilateral triangle has a perimeter of 21. What is the length of each side?
7
All quadrilaterals have an angle sum of ________.
360 degrees.
Can you make a triangle with side lengths of 6, 3, and 4? Why or why not?
YES, 3 + 4 = 7, which is greater than 6.
A triangle has a right angle and a 60 degree angle. What is the missing angle measure?
30 degrees
What are complementary angles?
2 angles that add up to 90 degrees
A triangle with side lengths of 7, 3, 7 is called a(n) ___________.
Isosceles triangle
One angle of a parallelogram measures 60 degrees and another angle measures 120 degrees. What are the measures of the other two angles? Explain.
What is 120 degrees and 60 degrees. Opposite angles in a parallelogram are always equal.
Can you make a triangle with the following side lengths: 4, 5 and 9? Why or why not?
No, 4 + 5 = 9, which is not bigger than 9
A triangle has angles of 47 and 81. What is the missing angle?
52 degrees
What are supplementary angles?
TWO angles that add up to 180 degrees
The definition of a scalene triangle is____________________.
A triangle with no equal sides.
A quadrilateral with 4 equal sides and 4 right angles is called a __________.
Square
Can you make a triangle with degrees of 32, 67, and 96?
No, does not equal 180 degrees
An isosceles triangle has two angles of 42 degrees. What are the measures of the other angle?
96 degrees
How many degrees does the minute hand turn if 40 min has passed?
240 degrees
Triangles have an angle sum of _________.
180 degrees
Any polygon with 4 sides and 4 angles is called a _______________.
Quadrilateral
Can you make more than one triangle with side lengths of 6, 8, and 10?
No, only one triangle can ever be made from 3 given side lengths.
If an angle is 112 degrees, what is the measure of its supplement?
68 degrees
If an angle is 54 degrees, how many degrees is its vertical angle?
54 degrees
If a triangle has one right angle, can it also have an obtuse angle? Why or why not?
No, the angle sum would be over 180. For example, an obtuse angle could be 100 degrees. A right angle of 90 degrees plus 100 degrees is 190 degrees - which is too big!
A 4-sided shape with opposite sides equal and parallel is called a ______________.
Parallelogram
Can you make more than one triangle with the angles of 20, 60, 100? Why?
Yes, you can make many triangles by scaling up the side lengths or scaling down.
An isosceles triangle has one angle of 56 degrees. What are the measures of the other angles? BE CAREFUL!
There are two answers. If 56 degrees is one of the two equal angles, then the other angles are 56 degrees and 68 degrees. If 56 degrees is the angle that is NOT equal to the other two, then the other two angles are both 62 degrees.
What is the angle sum of a polygon with 5 sides?
540 degrees