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WorksheetsGeometry Definitions & Conclusions
Total questions: 20
Worksheet time: 40mins
Given: B is the midpoint of AC. What should you conclude?
B is the median of AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
Given: OR ⊥ QP. What is the conclusion?
<ORQ and < ORP are right angles
R is the midpoint of QP
<ORQ and <ORP are complementary
QR ≅ QP
Given: PL is the angle bisector of <RPQ
What can you conclude by definition of angle bisector?
PR ≅ PQ
P is the midpoint of ∠RPQ
∠RPL ≅ ∠LPQ
∠PLR ≅ ∠PLQ
State the general conclusion.
MEDIAN gives __________
perpendicular lines
altitude
midpoint
2 congruent angles
Perpendicular lines form __________
altitude
midpoint
right angles
two congruent segments
An angle bisector gives _______________
two right angles
two congruent segments
two perpendicular lines
two congruent angles
Altitude gives
perpendicular lines
two congruent segment
midpoint
two congruent angles
Complementary Angles form _____________________
perpendicular lines
two right angles
a right angle
a straight angle
What is reason #1?
Reflexive Postulate
An angle bisector gives two congruent angles
ASA
Given
What is statement #3?
FH≅FH
GF≅GF
GH≅IH
GF≅FI
What is reason #4?
Reflexive Postulate
Midpoint gives two congruent segments
Vertical angles are congruent.
Given
What does CPCTC stand for? (I mean the ACTUAL words!!)
Corresponding Parts of Congruent Triangles are Congruent
Congruent Parts of Congruent Triangles are Corresponding
Congruent Pieces of Corresponding Triangles are Congruent
Cow Penguin Cow Turtle Cow
What needs to be shown first in order to prove parts congruent using CPCTC?
All right angles are congruent
Vertical angles are congruent
Reflexive postulate
The triangles need to be proven congruent
State if the two triangles are congruent. If they are, state how you know.
A) SSS
B) Not congruent
C) ASA
D) SAS
Which is NOT a method that can be used to prove triangles congruent?
ASA
SSS
SSA
SAS
Which method proves these triangles congruent?
SAS
CPCTC
AAS
ASA
