Do Now DWP #62
3/16/ B Quadrilaterals and Angle Sums
5 Types of Quadrilaterals -closed figure with four straight sides 1.Parallelogram 2.Rectangle 3.Rhombus 4.Square 5.Trapezoid
Parallelogram Opposite sides parallel Opposite sides congruent Opposite angles congruent
Opposite sides parallel Opposite sides and angles congruent Four right angles Sound Familiar?
Rhombus Opposite sides parallel Opposite sides and angles congruent ALL SIDES congruent Sound Familiar?
Square A rectangle with four congruent sides
Trapezoid One pair of parallel sides (bases)
Fun Fact In every quadrilateral there are 2 Triangles!
The sum of the angles of a triangle is 180 degrees. ALWAYS!
Remember there are 2 triangles in a quadrilateral….
Using that information how could we find the angle sum of a quadrilateral?
There are two triangles... Because the sum of the angles of each triangle is 180 degrees... We get = 360 So, the sum of the interior angles of a quadrilateral is 360 degrees. ALWAYS!!!!!!
Again… The sum of the angles in any quadrilateral is always 360 o. We can use this fact to find missing angle measures in quadrilaterals.
Let’s Practice Ex. 1: Classify the figure. Find the missing angle measure.
Solution Ex.1 Trapezoid b = b = b = b = 94 o Let’s Check : = 360
Ex. 2 Classify the figure. Find the missing angle measure.
Solution Ex.2 Quadrilateral x = x = x = x = 114 o Let’s Check : = 360
Exit Ticket Pg. 470 # 1-10 Odds
Homework Pg. 470 #1-30 Evens