Midpoint
Bisector
Congruent Triangles
Geometric naming
Proofs
100
What is a midpoint? And what does it do?
A midpoint is the middle point of a segment, and it splits the existing segment into 2 congruent pieces.
100
What does an angle bisector do?
Splits an angle into 2 Congruent angles.
100
What are the four methods we have to prove two triangles are congruent?
SSS
SAS
ASA
AAS
100
What does the small m in front of our angle tell us we are looking for? provide example
The actual measurement of the angle.
EX:
96 degrees
100 degrees
100
What statements should we always list first in a proof? and What reason do we give for them?
Also list our true statements first, and the reason is "given"
200
M is a midpoint of this segment. What equation can we set up to solve for X?
x+20 = 5x-4
200
Ray BD is an angle bisector. What equation can we set up to solve for x?
8x-16 = 4x+20
200
Are these two Triangles Congruent? If yes by which method?
Yes, ASA
200
What are three ways we can name this angle?
<ABC
<CBA
<B
200
What is always the last statement we put in a proof?
The Conjecture/ what we are trying to prove.
300
M is the midpoint of AC. Solve for x
x=6
300
BD Bisects <ABC. Solve for x. Show work!
x=12
300
Name 2 congruent parts of these triangles from the given congruence statment.
< D congruent <Z
<E congruent <X
<F congruent <Y
DE congruent ZX
EF Congruent XY
DF congruent ZY
300
Draw what this would look like?
*Two perpendicular lines.
*square to represent 90 degree angle
300
What reason would we give for why these two triangles are congruent?
SAS Theorem
400
Solve for the Length of AC
AC = 146
400
BD Bisects <ABC. Solve for the measurement of <DBC
<DBC= 24
400
If we wanted to prove these two triangles were congruent by ASA what additional piece of information do we need?
<A congruent to <D
400
Name the pieces of these triangles we know are congruent.
<N and <T
<M and <Q
400
If we just stated that These two triangles are congruent by SAS. What reason could we give for why <B is congruent to <S
CPCTC
Corresponding parts of Congruent Triangles are congruent.
500
If we wanted to prove these two triangles are congruent by AAS what additional piece of information do we need?
<B congruent to <E
500
Name 2 congruent angles.
<BCA and <DCE