Geometry Quadrilaterals Review Properties Vocabulary Review Consecutive Angles

Geometry Quadrilaterals Review Properties

Vocabulary Review Consecutive Angles Opposite sides Diagonals (inside shape) Opposite angles

Parallelogram

Question #1 Look at the picture provided and list: 1 - Opposite Sides: 2 - Opposite Angles: 3 -Diagonals: 4 -Consecutive Angles: 5 - what is this a picture of?

Question #2 Who Am I ? 1) ● I have four sides. ● All of my sides are the same length. ● I have two pairs of parallel sides My shape is: 2) ● I have four sides. ● I have opposite sides of equal length. ● I have two pairs of parallel sides. ● All of my angles are 90 degrees. My shape is:

Question #3 a) Identify the shape b) What property are you going to use to solve for x c) Set up an equation to solve for x

Question #4 Solve for x a) Identify the shape b) What property are you going to use to solve c) Write the equation that can help you solve for x

Question #5 a) Identify the shape Solve for y b) What property are you going to use to solve c) Write the equation that can help you solve for y

Properties of a trapezoid and a kite Kite Trapezoid ● ● ● A trapezoid is a quadrilateral with exactly one pair of parallel sides. Diagonals bisect each others The consecutive angles of the legs are supplementary (not base angles) In an isosceles trapezoid, two sides and two base angles are congruent The diagonals of an isosceles triangle are congruent. ● ● A kite is a quadrilateral with two pairs of adjacent sides equal Diagonal IE bisects KT One pair of opposite angles are equal Diagonals intersect at 90 degree

Question #6 Look at the picture provided and list: 1 -Opposite Sides: 2 -Midsegment: 3 -Congruent sides: 4 - Congruent angles: 5 - What is this a picture of ?

Question # 7 Who Am I? 1) ● I have four sides. ● My adjacent sides are the same length. ● My diagonals intersect at a 90 degree angle ● I have one pair of opposite angles that measure the same. 2) ● I have four sides. ● My sides vary in length unless I am isosceles. ● I have one pair of parallel sides. ● My consecutive leg angles add up to 180 degree My shape is:

Question #8 a) Identify the shape Find m<1, m <2, and m <3 b) What properties are you going to use to find the angles c) solve for angles 2 & 3

Question #9 a) Identify the shape Find MP given MP = 4 x – 2, NQ =3 x+3 b) What property are you going to use to solve c) Write the equation that help solve for x