1. GT Geometry
• You need a responder
and put CW/HW and a
pen on the corner of
your desk. No Talking!

2. GT Geometry Drill 12/4/12
Which postulate, if any, can be used to
prove the triangles congruent?
1. 2.

3. 4.

4. GT Geometry Drill
Write down the name of the figure described.
Only 1 figure. I will keep giving hints
Hint 1 : I am a special polygon
Hint 2: I have three sides
Hint 3: I have an angle that is neither obtuse
or acute
Hint 4: My sides have a special relationship
Right Triangle

5. VOCABULARY
• ∠D IS A RIGHT ANGLE
• FE IS CALLED THE ___?
• HYPOTENUSE _______
• DF & DE ARE CALLED
____?____
• LEGS
D
E
F

6. Geometry Objective
• STW continue to prove
triangle congruent

7. Given: AB || DC; DC ≅ AB
Prove: ∆ABC ≅ ∆ CDA
D C
A B

8. Proof
Statement Reason
• • Given
• AC ≅ AC • ____________
• < BAC ≅ _______ • If _________
____________
• ____________
• ∆ABC ≅ ∆CDA

9. Given: RS ST; TU⊥ V is the midpoint
⊥ ST;
of ST
Prove: ∆RSV ≅ ∆ UTV
R S
V
U
T

10. Proof
Statement Reason

11. AAS THEOREM
If two angles and a non-included
side of one triangle are
congruent to two angles and a
non-included side of another
triangle then the triangles are
congruent.

12. GT Geometry
Given: AB ⊥ CB; DE ⊥ FE AB ≅ FE; FD ≅ AC
Prove: ∆ABC ≅ ∆FED E
A
D
B F
C

13. Pythagorean Theorem
c
b
a

14. Pythagorean Theorem
c a +b =c
2 2 2
b
a

15. HLTHEOREM
If the hypotenuse and a leg of
one right triangle are congruent
to the hypotenuse and a leg of
another right triangle , then the
triangles are congruent.