Points, Lines and Angles
Perpendicular bisectors form
Right Angles
What is the name of the "Z shape" angles?
Alternate interior angles
What type of triangle has a right angle?
Right triangle
Angles whose measure is less than 90 degrees
Acute angles
The number of degrees in a triangle
180
A straight path that extends forever in both directions
Line
Vertical angles are
Congruent
What type of triangle has 2 congruent sides and 2 congruent angles?
Isosceles triangle
In triangle ABC, AB ≅ BC. Based on this statement, is m<A ≅ m<C?
Yes
Can you form a triangle with sides of length 2cm, 3cm, and 6cm and why?
No because 3+2 = 5 < 6.
A straight path between two endpoints. It is written with TWO LETTERS (endpoints)
Line Segment
Corresponding angles are
Congruent
What type of triangle has all equal sides and all equal angles?
Equilateral triangle
In triangle DEF, if m<D = m<E = m<F. What triangle can DEF be classified as?
Equilateral
What does the Triangle Inequality Theorem state?
The sum of two sides of a triangle must be greater than the third side (remaining side).
What we use to label congruent angles or segments on a diagram
Tick marks
Same side interior angles are
Supplementary (Sum to 180)
Triangle ABC with AB ≅ AC is drawn. If m<A = 40 degrees, determine the m<B.
70 degrees
Angles that do NOT prove parallel lines (name two)
Supplementary angles and vertical angles
A triangle has side lengths 2 and 3. Which of the following could be a possible length of the third side?
a) 4 b) 6 c) 7 d) 8
4
Side AG bisects <BAD. If m<DAG is 32 degrees, what is m<BAG?
32 degrees
Angle A and Angle B are complementary angles. If m<A = 3x, what expression represents the number of degrees in angle B?
90-3x
In triangle ABC, side BC is extended through C to point D.
If BC ≅ AC and m<ACD = 136 degrees, what is m<A?
68 degrees
In triangle ABC, m<A = 8x+10, m<B = 4x+20, and m<C = 3x. Find x.
x = 10
Given a triangle with side lengths x+2, 2x, and 5, find the range of values that could create a triangle that exists.
1 < x < 7