1. SSS Congruence PostulateRS ST TR
RST HJ
FG ≅ HG
JG ≅ JG
SSS Congruence Postulate

2. True
Statement Reason
JL ≅ ML
JK ≅ MK
LK ≅ LK
∆JKL ≅ ∆MKL
Given
Reflexive Prop
SSS ≅ Post
False, we don't know if RS is
congruent to TV.

3. ≅ (2 - (-3))2 + (2 - 5)2 34 3 5 √34 3 5 (2 - 5)2 + (-2 - (-3))2 34
(2 - (-3))2 + (2 - 5)
√34 3 5
(2 - 5)2 + (-2 - (-3))
∆SRT
(-3 - 0)2 + (-2 - (-3)) ≅ 10

4. Since these are right triangles you could show the length of the
3rd side by using the Pythagorean Theorem (a2 + b2 = c2)
DG = LN = 2
DF = LM = 6
d = √(x2 - x1)2 + (y2 - y1)2
FG = √(-2 - 4)2 + (2 - 4)2
FG = 2√10
MN = √(-1 - (-3))2 + (-3 - 3)2
MN = 2√10
All corresponding sides are congruent,
so ∆DFG ≅ ∆LMN by SSS congruence postulate

5. fixed
cannot change shape
stable
not stable

6. Yes, this figure is stable
because the triangles
formed are congruent by
SSS congruence postulate
and won't change.
No, the figure isn't stable since
the quadrilateral doesn't have
a diagonal that forms congruent
triangles.