Download April 09, 2015

April 09, 2015
April 09, 2015
(2,4)
(0,1)
(3,1)
April 09, 2015
Statement
Reason
April 09, 2015
April 09, 2015
Study Guide (6.1-6.3)
* Determine whether a figure is a polygon or not. If so, classify it by name, state
whether it is concave or convex, and whether it is regular or not.
* Find interior angle measures in a polygon.
* Find exterior angle measures of a polygon.
* Determine whether a figure is a parallelogram or not. (Know conditions to prove a
quadrilateral is a parallelogram)
* Given a parallelogram, find missing angle measures and side lengths.
* Given vertices of a quadrilateral, prove it is a parallelogram.
* Write a two-column proof involving properties of parallelograms.
April 09, 2015
(6.4) Rectangles
Objective: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
Why: Properties of rectangles are used in set design for plays,
fence designs, and many other structural designs.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
Rectangle: a parallelogram with 4 right angles
Recall: Since rectangles are
parallelograms, they have all the
properties of parallelograms.
*opp sides ll
*opp sides
Also: The diagonals of a rectangle are = .
A
B
C
*consecutive angles supp.
*diagonals bis. each other
AC = BD
D
=
*opp angles =
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
Ways to Prove a Quad. is a Rectangle:
1. If a quad. with 4 right angles, then a rectangle.
2. If a parallelogram with one right angle, then a rectangle.
3. If a parallelogram with diagonals congruent, then a rectangle.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
Determine/Prove whether the quadrilateral is a rectangle.
A(-5,3), B(1,-1), C(-1,-4), D(-7,0)
April 09, 2015
Obj: To recognize and apply properties of rectangles.
HF:
To determine/prove whether parallelograms are rectangles.
(HR) (6.4)Pg.426: 15, 19, 21-23, 26-31, 39, 40, 42, 45, 49
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.
April 09, 2015
Obj: To recognize and apply properties of rectangles.
To determine/prove whether parallelograms are rectangles.