Match the Answer with the question. 1. Find the distance from A to B for A is –3 and B is 9? 2. Find the midpoint of DC for D is (3,4) and C is (-2,4)?

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Match the Answer with the question. 1. Find the distance from A to B for A is –3 and B is 9? 2. Find the midpoint of DC for D is (3,4) and C is (-2,4)? 3. Find the distance from E to F for E is (7,-1) and F is (10,3)? 4. If H is between GI and GH is 9 and GI is 25, what is the length of HI? 5. If you add segments MN + NP + PR, what is the name of the resulting segment? Answers: 5 or square root of 25, 12, MR, (0.5, 4), 16

Sec: 8.4 – 8.5 Sol: G.8 a, b, c

Foldable * Fold over the second cut section and write RECTANGLE on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles.

Foldable * On the left hand section, draw a rectangle. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a rectangle. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent.

A rectangle is a quadrilateral with 4 right angles. Theorem 8.13 : If a parallelogram is a rectangle, then the diagonals are congruent. Properties of a Rectangle: 1. Opposite sides are ≅ and || 2. Opposite ∠ s are ≅ 3. Consecutive ∠s are supplementary 4. Diagonals are ≅ and bisect each other 5. All four ∠s are right ∠ s

Theorem 8.14 : If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Foldable * Fold over the third cut section and write RHOMBUS on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent.

Foldable * On the left hand section, draw a rhombus. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a rhombus. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles

A rhombus is a quadrilateral with all 4 sides congruent. Note: All the properties of a parallelogram apply to rhombi. 3 Characteristics of a Rhombi: Theorem 8.15 : The diagonals of a rhombus are perpendicular. Theorem 8.16 : If the diagonals of a parallelogram are perpendicular, Then the parallelogram is a rhombus (Converse of theorem 8.15) If BD ⊥AC, then □ABCD is a rhombus.

Foldable * Fold over the third cut section and write SQUARE on the outside. * Reopen the fold. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles

Foldable * On the left hand section, draw a square. 1. Opposite angles are congruent. 2. Consecutive angles are supplementary. 3. Opposite sides are congruent. 4. Diagonals bisect each other. 5. Diagonals make 2 congruent triangles. * On the right hand side, list all of the properties of a square. * Place in your notebook and save for tomorrow. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent (right) angles

Theorem 8.17 : Each diagonal of a rhombus bisects a pair of opposite angles. If a quadrilateral is both a rhombus and a rectangle, it is a square. A square is a quadrilateral with four right angles and four congruent sides.

Rhombi Squares 1. Has the properties of a parallelogram. 2. All sides are ≅ 3. Diagonals are ⊥ 4. Diagonals Bisect the ∠s of the rhombus 1. Has all the properties of a parallelogram. 2. Has all the properties of a rectangle. 3. Has all the properties of a rhombus.

Suggested assignments: Classwork: Workbook: Homework: Pg all and pg , 22,24, all