Geometry homework#6

HW Week 6 Name ___________________

For 2-11, state the postulate or theorem (SSS, SAS, ASA, AAS, or HL) that could be used to prove the triangles congruent. If the triangles cannot be proven congruent, write not possible.

2. 3. 4.

__Not Possible__ ___Not possible_______ Not possible____

5. 6. 7.

____SAS______ ___ASA_____ _Not Possible_______

8. 9. 10.

____SSS_____ __Not Possible__ __SSS_________

For 12 and 13, complete each proof. A B 12.

Given: || , D C

Prove: With the lines being parallel and approximately equal, lines AD and BC will tend to be approximately equal and parallel. This means that angleABC and angle BCD will be supplementary. Angle CDA will be on the opposite of the rhombus, and with the lines being

H J

G

M L

K S

T

U V

W

D E

G F

U V W

YT X

F

D E

G HM

J P

N

L

K

T

Q

R

S

J K

M

L

H

B

CDA

parallel, angle ABC will be equal to angle CDA.

Basically, the two parallel lines are equal and hence, cut by two other parallel lines. Hence, the two angles in question make the opposite interior angles of a polygon, where the lines are parallel, which are equal.

Statements Reasons 1. Given

2. Same line

3. Opposite sides in a parallelogram

4. Alternate interior angles

5. Opposite Interior Angles

Q

13. K A

B Statements Reasons

3. Angle KBQ =Angle ABQ

1. Given

2. Angles in a congruent triangle. SAS

3. Reflexive

4. Reflective

5. Congruent