match the answer with the question. 1. find the distance from a to b for a is –3 and b is 9? 2....

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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

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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

Rectangles, Rhombi and SquaresSec: 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 supplementary4. Diagonals are ≅ and bisect each other5. All four ∠s are right ∠s

E

A

D C

B

E

A

D C

B

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

E

A

D C

B

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.

A

B

C

D

BDAC

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.

A

B

C

D

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 428 16-24all and pg 434 12-14, 22,24, 26-31 all