1. ©thevisualclassroom.com 2.11 Verifying Geometric Properties When proving sides of a quadrilateral are parallel use slope When proving sides are perpendicular, use slope When proving sides are equal in length, use distance

2. ©thevisualclassroom.com Proving two line segments bisect each other, use midpoint

3. ©thevisualclassroom.com Ex. 1: Given rectangle A(–2, 0), B(–3, 4), C(5, 6), D(6, 2). Prove that the diagonals of rectangle ABCD are equal in length. Find the lengths of AC and BD A(–2, 0) B(–3, 4) C(5, 6) D(6, 2)

4. ©thevisualclassroom.com Ex. 2: Given rectangle A(–2, 0), B(–3, 4), C(5, 6), D(6, 2). Prove that the diagonals bisect each other. Find the midpoints of AC and BD A(–2, 0) B(–3, 4) C(5, 6) D(6, 2)

5. ©thevisualclassroom.com Ex. 3: Prove the midsegments of P (–4, 5), Q(6, 7), R(4,–3), S(–6,–1) form a parallelogram. Find the midpoints of the sides P(–4, 5) Q(6, 7) R(4,–3) S(–6,–1) T(1, 6) U(5, 2) V(–1,–2) W(–5, 2)

6. ©thevisualclassroom.com P(–4, 5) Q(6, 7) R(4,–3) S(–6,–1) T(1, 6) U(5, 2) V(–1,–2) W(–5, 2) Find the slopes of TUVW = – 1