Median and Altitude
Interior and Exterior Angle Relationship of Triangles
Isosceles Triangles
Triangle Congruence
CPCTC
100
What is the median of a triangle?
A segment that connects a vertex to the opposite sides midpoint.
100
How much does the interior angles of a triangle add up to?
180
100
What is the definition of isosceles triangle?
A triangle with two congruent sides.
100
How can we prove that the two triangles are congruent? 
ASA
100
What does CPCTC stand for? 🍭
Corresponding Parts of Congruent Triangles are Congruent
200
What is the altitude of a triangle?
A perpendicular segment that connects a vertex to the opposite side.
200
What two angles add up together to equal m<ACD?
m<A + m<B
200
What do you call the non-congruent angle in an isosceles triangle?
Vertex Angle
200
If we know that m<A=m<X and AB=XY, what information are we missing to prove that triangle ABC is congruent to triangle XYZ by SAS?
AC = XZ
200
What do we have to know before using CPCTC?
That two triangles are congruent
300
In triangle ABD, AC is a median. If BC=2x+4 and CD=3x-10, what is the value of BD? 
BD = 64
300
In triangle ABC, if m<A=85, and m<B=25, what is the m<C?
m<C=70
300
If an isosceles triangle's vertex has the measurement of 30 degrees, what is the measurement of one of the base angles?
75 degrees
300
If you know that m<D = m<C and AD=CE, how do you prove that triangle ADB is congruent to triangle ECB?
AAS
300
Write all of the congruence statements considering triangle ABC is congruent to triangle ADC.
AB=AD, AC=AC, BC=CD
<B=<D, <BAC=<DAC, <BCA=<DCA
400
If m<A=3x+33, m<B=2x+9, and m<ACD=7x+2. What is the value of <ACD?
m<ACD = 142
400
If m<A=72 and m<ACD=155, what is the m<B?
m<B=83
400
What do you call the congruent angles of an isosceles triangle?
Base angles
400
What three things do we need to know to prove triangles are congruent by HL?
Hypotenuse, Leg, Right Angle
400
What does CPCTC stand for? 🍭
Corresponding Parts of Congruent Triangles are Congruent
500
Can the median and the altitude be the same segment in a triangle? Explain why or why not, and give an example of why or why it can never work.
The median and altitude CAN be the same segment when the triangle is isosceles or equilateral. If it is isosceles, the segment has to be drawn from the vertex angle.
500
In triangle ABC, m<A=3x-1, m<B=10x, and m<C=7x+1. What is the value of x?
x = 9
500
Can an isosceles triangle have a base angle of 95? Explain why or why not.
No, since there are two congruent base angles in an isosceles triangle, if they are each 95 degrees, then they add up to 190 degrees, which is larger than 180 (the measure of the interior angles of an isosceles triangle)
500
Given: C is the midpoint of segment BD and AB=AD
Prove: Triangle ABC is congruent to triangle ADC
1.C is the midpoint of BD and AB=AD (Given)
2. BC=CD (def of midpoint)
3. AC=AC (reflexive property)
4.Triangle ABC is congruent to triangle ADC (SSS)
500
Given: Segments LN and PT bisect each other.
Prove: PL=NT
1.Segments LN and PT bisect each other (Given)
2. LA=AN and PA=AT (def of segment bisector)
3. <PAL ≅ <TAN (vertical angles are congruent)
4. △PAL ≅ △TAN (SAS ≅)
5.PL=NT (CPCTC)