Geometry Today: Over 6.4 Vocab 6.4 Instruction Practice Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt

Assignment: – 6.4 Intro WS Geometry Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt

REVIEW: What are the properties of a parallelogram? 6.3

6.4 Rhombuses, Rectangles, & Squares Objectives: 1.Know special parallelograms 2.Know properties of special parallelograms Vocabulary: square, rhombus, rectangle

vocabulary Rectangle – a quadrilateral with 4 right angles 6.4

Facts about a rectangle. Has ALL properties of a parallelogram  Has four right angles. -Diagonals are congruent. A parallelogram is a rectangle iff the diagonals are congruent Properties

vocabulary Rhombus: a quadrilateral with 4 congruent sides 6.4

Facts about a rhombus. - Diagonals are  - Diagonals bisect angles. A parallelogram is a rhombus iff the diagonals are perpendicular. A parallelogram is a rhombus iff the diagonals bisect the angles. 6.4 Has ALL properties of a parallelogram  Has four congruent sides. 8 Properties

vocabulary Square – a quadrilateral with 4 right angles and 4 congruent sides – it is both a rhombus and a rectangle 6.4

Facts about a square. Has ALL properties of a parallelogram  Has ALL properties of a rectangle Properties Has ALL properties of a rhombus.

Quadrilaterals (4 sides) Parallelograms (opp. sides ll) Rhombus (all sides  ) Rectangles (all right  ’s) Square (Rect & Rhomb) 6.6

What type of quadrilateral is ABCD? Rectangle Parallelogram A B C D

Questions about special quadrilaterals. Answer each question with A, S, N for always, sometimes, and never true. 1.A rectangle is a square  2.A square is a rhombus  3.A rectangle is a parallelogram  4.A rectangle is a rhombus  6.4

Propertyllrectrhmsqrkitetrpistrp Both pairs of opposite sides parallel Exactly 1 pair of opposite sides parallel Diagonals perpendicular Diagonals congruent Diagonals bisect each other Both pairs of opposite sides are congruent Exactly one pair of opposite sides are congruent All sides are congruent Both pairs of opposite angles are congruent Exactly one pair of opposite angles are congruent All angles are congruent

Propertyllrectrhmsqrkitetrpistrp Both pairs of opposite.sides parallel X Exactly 1 pair of opposite sides parallel Diagonals perpendicular Diagonals congruent Diagonals bisect each other X Both pairs of opposite sides are congruent X Exactly one pair of opposite sides are congruent All sides are congruent Both pairs of opposite angles are congruent X Exactly one pair of opposite angles are congruent All angles are congruent

Propertyllrectrhmsqrkitetrpistrp Both pairs of opposite.sides parallel XX Exactly 1 pair of opposite sides parallel Diagonals perpendicular Diagonals congruent X Diagonals bisect each other XX Both pairs of opposite sides are congruent XX Exactly one pair of opposite sides are congruent All sides are congruent Both pairs of opposite angles are congruent XX Exactly one pair of opposite angles are congruent All angles are congruent X

Propertyllrectrhmsqrkitetrpistrp Both pairs of opposite.sides parallel XXX Exactly 1 pair of opposite sides parallel Diagonals perpendicular X Diagonals congruent X Diagonals bisect each other XXX Both pairs of opposite sides are congruent XXX Exactly one pair of opposite sides are congruent All sides are congruent X Both pairs of opposite angles are congruent XXX Exactly one pair of opposite angles are congruent All angles are congruent X

Propertyllrectrhmsqrkitetrpistrp Both pairs of opposite.sides parallel XXXX Exactly 1 pair of opposite sides parallel Diagonals perpendicular XX Diagonals congruent XX Diagonals bisect each other XXXX Both pairs of opposite sides are congruent XXXX Exactly one pair of opposite sides are congruent All sides are congruent XX Both pairs of opposite angles are congruent XXXX Exactly one pair of opposite angles are congruent All angles are congruent XX

Questions about special quadrilaterals. List all the special quadrilaterals that have each property: 1.Diagonals are congruent  2.Diagonals are perpendicular  3.Consecutive angles are supplementary. 4.Regular Polygon 6.4

MNOP is a rectangle with interior point A. If MA = 6x + 4 and PA = 7x – 4, find PN. 6.4

A DC B 5x + 8° 3x + 2° 6.4 Find x and y, such that ABCD is a rectangle. 6y + 2°

QRST is a rhombus. Find x and y, if m  1 = y 2 – 54, m  2 = 5x + 7 and m  3 = 7x – 1. Q R T S

Is ABCD a square, rectangle or rhombus? D A C B x + 7 3y x – 4 4y – 2 10z + 5° 8z + 13°

Assignment: – 6.4 p 351 # – Test Chapter 6 on Wednesday Geometry Every moment in planning saves 3 or 4 in execution. Crawford Greenwalt