Angles, Angles, Angles
Unique Angles and Triangles
Definitions
Postulates and Theorems
Properties
100
These are angles that share a common vertex and no common interior points.
What are adjacent angles?
100
At an intersection of two lines, two pairs of vertical angles will sum up to what amount of degrees?
What is 360 degrees?
100
A ray that divides an angle in to two congruent angles
What is an angle bisector
100
This postulate states that " The sum of the lengths of the sides of a triangle is greater than the length of the longest side
What is the Triangle Inequality Theorem?
100
CPCTC stands for what?
What is Corresponding Parts of Congruent Triangles are Congruent.
200
These angles are non-adjacent, yet share a common vertex.
What are vertical angles?
200
The type of angle located on the opposite sides of the transversal, outside of the two parallel lines.
What is alternate exterior angle
200
The line the cuts through two parallel lines
What is the transversal?
200
This angle says that vertical angles are congruent to each other.
What is the vertical angle theorem?
200
a(b+c) = ab+ac
What is the Distributive Property of Equality
300
Angles known as "complementary angles" must be adjacent in order to be complementary to each other. True or False?
What is False?
300
** Daily Double** The other two types of triangle congruence that we learned that are not actually congruence theorems
What are AAA and SSA
300
This angle, adjacent to a triangle, happens to be the sum of the two remote interior angles of said triangle.
What is an exterior angle?
300
If two angles in a triangle are congruent to each other, then the sides opposite those angles are also congruent. What is this describing?
What is the Converse of the Isosceles Triangle Theorem
300
∠ A ≅ ∠ A
What is the Reflexive property
400
If one of the angles in a linear pair is obtuse, what type of angle will the other angle be?
What is acute
400
Name the 4 types of triangle congruence
What are Side-Side-Side , Side-Angle-Side, Side-Angle-Angle, Angle-Side-Angle
400
In a triangle, it's a line, segment, or a ray that passes through the midpoint of a side ('base") and is also ______ to that side. Fill in the blank and say what vocab word this is.
What is perpendicular and perpendicular bisector.
400
If two sides of a triangle are congruent, then the angles opposite those sides are also congruent. This is what theorem?
What is the Isosceles Triangle Theorem?
400
Line segment AB is congruent to ling segment BA
What is symmetric property
500
When making a linear pair, a ray can be involved in order to for the supplementary angle. Yes or No? Explain
What is No because a linear pair is formed by the intersection of two lines.
500
True or False - If the bisector of an angle in a triangle meets the opposite side at the midpoint, then the triangle is isosceles
What is true
500
In an equilateral triangle, what is the word to describe that all angles are also congruent to each other?
What is equiangular
500
Is this a theorem, yes or no? Given an angle bisector, all points on that bisector are equidistant from the sides of the angle.
What is Yes
500
∠ A ≅ ∠ B , ∠ B ≅ ∠ C , therefore ∠ A ≅ ∠ C
What is Transitive Property of Congruence