6-5: Conditions of Special Parallelograms Page 432 14) 58° 15) 𝟏𝟐𝟐° 16) 𝟓𝟐° 17) 62° 18) 96.6 19) +𝟒 𝟓 20) 2.8 21) 3.6 22) 72.5 23) Sometimes 24) 25) Never 27) 𝒎∠𝟏=𝟖𝟐° 𝒎∠𝟐=128° 28) 𝒎∠𝟏=116° 𝒎∠𝟐=46° 29) 𝒎∠𝟏=𝟓𝟏° 𝒎∠𝟐=16° 30) 𝒎∠𝟏=112° 𝒎∠𝟐=40° 31) 𝒎∠𝟏=120° 32) 𝒎∠𝟏=117° 34) 15 35) 13 36) 8 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

Quadrilaterals in Coordinate Plane Section 6-6A Geometry PreAP, Revised ©2013 viet.dang@humble.k12.tx.us 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

Types of Quadrilaterals Parallelogram Rhombus Rectangle Square 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

Graphing Quadrilaterals Establish all four points Opposite sides measure the same slope Calculate the side lengths using the distance formula Calculate the slope and distance of the diagonals 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 1 Four vertices of ABCD are A(3, –8), B(–2, 2), C(2, 6) and D(7, –4). Identify the shape, slope of AB, CD, AD, BC, the distances, and slopes of the diagonals, and distances of them. A B C D 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 1 Four vertices of ABCD are A(3, –8), B(–2, 2), C(2, 6) and D(7, –4). Identify the shape, slope of AB, CD, AD, BC, the distances, and slopes of the diagonals, and distances of them. A B C D 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 1 Four vertices of ABCD are A(3, –8), B(–2, 2), C(2, 6) and D(7, –4). Identify the shape, slope of AB, CD, AD, BC, the distances, and slopes of the diagonals, and distances of them. A B C D 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 1 Four vertices of ABCD are A(3, –8), B(–2, 2), C(2, 6) and D(7, –4). Identify the shape, slope of AB, CD, AD, BC, the distances, and slopes of the diagonals, and distances of them. A B C D 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 2 Four vertices of ABCD are A(–1, 0), B(–3, 5), C(2, 7) and D(4, 2). Identify the shape, slope of AB, CD, AD, BC, the distances, and slopes of the diagonals, and distances of them. 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Your Turn Four vertices of FGHJ are F(–4, –2), G(–2, 2), H(4, 3) and J(2, –1). Identify the shape, slope of FG, GH, HJ, FJ, the distances, and slopes of the diagonals, and distances of them. 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Example 3 Given the quadrilateral JKLM, the slope of JK and LM is –5/3. The slope of KL and MJ is ¾. What shape is it? 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms

6-5: Conditions of Special Parallelograms Assignment Worksheet 2/15/2019 12:07 PM 6-5: Conditions of Special Parallelograms