SSS Congruence Postulate RS ST TR RST HJ FG ≅ HG JG ≅ JG SSS Congruence Postulate

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.

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

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

fixed cannot change shape stable not stable

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.