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Match the Answer with the question.

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)?

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Match the Answer with the question.

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  1. 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

  2. Rectangles, Rhombi and Squares Sec: 8.4 – 8.5 Sol: G.8 a, b, c

  3. QUADRILATERALS Foldable * Fold over the second cut section and write RECTANGLE on the outside. 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. RECTANGLE * Reopen the fold.

  4. QUADRILATERALS 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. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. * On the right hand side, list all of the properties of a rectangle.

  5. 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: • Opposite sides are ≅ and || • Opposite ∠s are ≅ • Consecutive ∠s are supplementary • Diagonals are ≅ and bisect each other • All four ∠s are right ∠s

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

  7. QUADRILATERALS Foldable * Fold over the third cut section and write RHOMBUS on the outside. 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. * Reopen the fold. RHOMBUS

  8. QUADRILATERALS 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. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. * On the right hand side, list all of the properties of a rhombus. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles

  9. 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.

  10. QUADRILATERALS Foldable * Fold over the third cut section and write SQUARE on the outside. 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. * Reopen the fold. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles SQUARE

  11. QUADRILATERALS 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. 1.Is a special type of parallelogram. 2. Has 4 right angles 3. Diagonals are congruent. * On the right hand side, list all of the properties of a square. 1. Is A Special type of Parallelogram 2. Has 4 Congruent sides 3. Diagonals are perpendicular. 4. Diagonals bisect opposite angles * Place in your notebook and save for tomorrow. 1. Is a parallelogram, rectangle, and rhombus 2. 4 congruent sides and 4 congruent (right) angles

  12. 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.

  13. Rhombi Squares • Has the properties of a parallelogram. • All sides are ≅ • Diagonals are ⊥ • Diagonals Bisect the ∠s of the rhombus • Has all the properties of a parallelogram. • Has all the properties of a rectangle. • Has all the properties of a rhombus.

  14. Suggested assignments: Classwork: Workbook: Homework: Pg 428 16-24all and pg 434 12-14, 22,24, 26-31 all

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