Download True or False: 1) In an obtuse triangle, the largest angle measures

Geometry Key Assignment - Proofs
True or False:
1) In an obtuse triangle, the largest angle measures more than 90° but less than 180° .
2) If two polygons are similar, then they are congruent.
3) The side lengths of a triangle are a, b, and c. The triangle is neither acute nor obtuse if
a 2 + b2 = c 2 .
4) The perimeter of a plane figure is the sum of the lengths of its sides.
5) If two angles of one triangle are congruent to two angles of another triangle, then the
triangles are always congruent.
6) Similar polygons always have corresponding sides that are congruent.
7)
O
N
L
Given: PO and LN bisect each other.
M
P
Prove:
Statement
Reason

_________________________________ Given

OM  __________; LM  __________
Definition of bisector

_________________________________ Vertical angles are congruent

_________________________________
8)
Q
R
Given:
S
̅̅̅̅ bisects
Prove:
T
Statement
Reason

_________________________________ _________________________________

_________________________________ Definition of angle bisector

_________________________________ Reflexive property of congruence

_________________________________
9)
W
̅̅̅̅̅
Given: OR bisects
̅̅̅̅̅
R
O
Prove:
M
Statements

OR bisects
̅̅̅̅̅
Reasons
̅̅̅̅̅
Given

_________________________________ _________________________________

_________________________________ _________________________________

_________________________________ _________________________________
2
G
10)
Given: ̅̅̅̅
R
B
̅̅̅̅ and ̅̅̅̅
̅̅̅̅
Prove:
U
Statements
Reasons

_________________________________ _________________________________

_________________________________ _________________________________

_________________________________ _________________________________

_________________________________ _________________________________
3
11)
y
Given: Vertices F(1, 2), L(3, 1), Y(2, 4)
and P(4, 2), I(4, 3), E(1, 4)
Prove:
x
Statements
4
Reasons
12)
N
Given: EW bisects both
W
E
Prove:
T
Statements
5
Reasons