VOCAB
TRIANGLES
CONSTRUCTIONS
TRANSVERSALS
ALGEBRA
100
This type of triangle has all equal sides and equal angles
EQUILATERAL TRIANGLE
100
All angles of a triangle add up to _______ degrees.
180
100
What tools do you need to make a construction?
Ruler and compass.
100
What is the relationship between same side interior angles?
Same side interior angles are complimentary.
100
Solve for x: 47 + 92 + x = 180
x = 41
200
Fill in the blanks:
Complementary angles are equal to ____ degrees.
Supplementary angles are equal to ____ degrees.
Complementary angles are equal to 90 degrees.
Supplementary angles are equal to 180 degrees.
200
What is true about isosceles tiangles?
They have two equal sides and therefore, two equal angles.
200
What does a bisector do?
Cuts something (angle or line) into two equal halves.
200
What is the relationship between corresponding angles?
Corresponding angles are equal to each other.
200
Solve for a: a + 24 + a = 90
a = 33
300
This "third" parallel line helps solve for unknown angles.
AUXILLARY LINE
300
What is the angle measure of an equilateral triangle?
60 degrees
300
Using your compass and a straight edge, construct a perpendicular bisector to this line segment.
300
Solve for a, b, and c.
a = 53
b = 53
c = 117
300
x = 85
400
What are two angles that have the same vertex and share a side in common (angles that are next to each other)?
Adjacent Angles
400
Solve for x.
x = 120
400
Starting from this line segment, use your compass and straight edge to construct an equilateral triangle.
400
What is the relationship between alternate interior angles?
Congruent
400
x = 14
500
The exterior angle theorem states that the exterior angle of a triangle equals the sum of what?
The two opposite interior angles.
500
Why does the exterior angle theorem make sense?
The total sum of a triangle is 180. The total sum on a line equals 180.
500
Using your compass and straight edge, construct an angle bisector.
500
What is the relationship between alternate exterior angles?
Congruent
500
Solve for x and y.
x = 30
y = 90