Download Statements

Name: ___________________________________
Geometry A U7D4 Warm Up
Date: ______________________
#1: Find the value of x.
#2: The coordinates of the point T are given as (4,6). The midpoint of segment ST has
coordinates (-2,-2). Find the coordinates of point S.
#3:
#4 Write the 5 theorems that prove 2 triangles are congruent:
1)___________
2)__________
3)__________
4)_________
5) ________
How to write a 2 column proof:


#5:
Read the given and mark the diagram
Use the given information to prove 2 triangles are congruent using a congruence theorem.
#6:
#7: Prove the following conditional: If PR and QS bisect each other at T, then
PTQ  RTS .
a) Complete the following:
Given:
Prove:
b) Mark the information that is given on the diagram.
c) Complete the missing parts of the flow chart proof by providing reasons under each
box.
#8 Write all the matching reasons for each statement.
N
U
Given: DU  NK ; DK  UN
Prove: DUN  NKD
D
Statements
K
Reasons
1. DU  NK
1.
2. DK  UN
2.
3. DN  DN
3.
4. DUN  NKD
4.
#9 Write all the matching statements for each reason.
Given: K is the midpoint of YU ; YU  KC
Prove: YKC  UKC
Statements

Y
K
Reasons
1.
1. Given
2.
2. Given
3.
3. A midpoint divides a segment into 2 congruent segments
4.
4. Perpendicular lines form right angles.
5.
5. All right angles are congruent.
6.
6. Reflexive Property
7.
7. SAS  SAS
C
U
#10:
#11
#12:
Name: ___________________________________
Geometry
Date: ______________________
Day 2 Triangle Proofs
Directions: Fill in the given & prove below using the statements listed in the proof.
Then fill in the reasons column for each of the statements in the proofs below.
1) Given: ______________________________
Prove: ________________________
Statements
P S
R is the midpoint of PS
PR RS
 PRQ
 SRT
∆PQR
∆STR
Reasons
2) Given: ______________________________
Prove: ________________________
Statements
FG DE
G is the midpoint of DE
DG GE
Reasons
 DGF,  EGF are right angles
 DGF
FG
∆DFG
3) Use the fact that ∆BAD
 EGF
FG
∆EFG
∆ABC to list the 3 pairs of congruent angles and 3 pairs of congruent sides.
4) Given: AB  AD ; ACE bisects BAD
Prove: BAC  DAC
Statements
Reasons
5) Given: PQR is an isosceles triangle and QS bisects PQR
Prove: PQS  RQS
Statements
Reasons
Name: ___________________________________
Date: ______________________
Geometry
Triangle Proofs Quiz Prep
1) Given: PQR is an isosceles triangle and QS is a median of PQR.
Prove: PQS  RQS
Statements
Reasons
̅̅̅̅ bisects  BAD
2) Given:  BCE  DCE, 𝐴𝐶
Prove: ∆ABC ∆ADC
Statements
Reasons
Linear pairs are adjacent angles that form a
straight line.
Linear pairs are supplementary.
Supplements of congruent angles are
congruent.
For each of the questions below, use the given to make a statement and the reason that you have to support
your statement.
3)
Statement
Reason
4)
Statement
Reason
5)
Statement
Reason
7)
6)
Statement
Reason
Statements
Reasons