Transcript Geometry 6_2 Properties of Parallelograms

GEOMETRY: Chapter 8
8.2: Use Properties of Parallelograms
Theorem 6.2:
If a quadrilateral is a parallelogram, then its
opposite sides are congruent.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 515.
Theorem 6.3
If a quadrilateral is a parallelogram, then its
opposite angles are congruent.
Image taken from: Geometry. McDougal Littell: Boston, 2007. P. 515.
Ex.1: Find the value of x and y.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.516.
Ex.1: Find the value of x and y.
Answer: 72, 44
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.516.
Theorem 6.4
If a quadrilateral is a parallelogram, then its
consecutive angles are supplementary.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.516.
Ex. 2: A metal screen is used to cover a shop window
when the shop is closed. The sections of the screen
are parallelograms. If the measure of angle LMN is
equal 110o, what is the measure of angle MNO?
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.517.
Ex. 2: A metal screen is used to cover a shop window
when the shop is closed. The sections of the screen
are parallelograms. If the measure of angle LMN is
equal 110o, what is the measure of angle MNO?
Answer: 70o
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.517.
Theorem 6.5
If a quadrilateral is a parallelogram, then
the diagonals bisect each other.
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.517.
Ex. 3: The diagonals parallelogram PQRS
intersect at point T. What are the
coordinates of point T?
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.508.
Ex. 3: The diagonals parallelogram PQRS
intersect at point T. What are the
coordinates of point T?
Answer: (11/2 , 5/2) Use Midpt Formula
Images taken from: Geometry. McDougal Littell: Boston, 2007. P.508.
6.2, p. 333, #1-35 odds
(18 questions)