Download Lesson 16-1

Quadrilaterals and Coordinates Proof
Opening routine
If the figure is a parallelogram. Solve for x.
Topic IV:
Quadrilaterals and
Coordinate Proof
Quadrilaterals and Coordinates Proof
Objective: Prove theorems about
parallelograms. Theorems include: opposite
sides are congruent, opposite angles are
congruent, the diagonals of a parallelogram
bisect each other, and conversely, rectangles
are parallelograms with congruent
Essential Question: How can properties of
parallelograms be used to find missing sides
and/or angles?
Quadrilaterals and Coordinates Proof
Vocabulary
Parallelogram: Is a quadrilateral with two pairs of
parallel sides.
Rectangle: Is a quadrilateral with four right angles.
Rhombus: Is a simple quadrilateral whose four sides
all have the same length.
Square: A square is a regular quadrilateral, which
means that it has four equal sides and four equal
angles.
Quadrilaterals and Coordinates Proof
Vocabulary
Trapezoid: Is a quadrilateral that has a pair of
opposite sides parallel. The sides that are parallel
are called “bases”.
Isosceles trapezoid: Is a special type of trapezoid in
which non-parallel sides and base angles are equal.
Kite: Is a quadrilateral whose four sides can be
grouped into two pairs of equal-length sides that
are adjacent to each other.
Quadrilaterals and Coordinates Proof
Classification of Quadrilaterals
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Guided Practice – WE DO
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Guided Practice – WE DO
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Guided Practice – WE DO
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Guided Practice – WE DO
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Independent Practice - YOU DO
Worksheet Properties of Parallelograms
Exercises from 1 to 10
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Closure
Essential Question: How can properties
of parallelograms be used to find
missing sides and/or angles?
Quadrilaterals and Coordinates Proof
Properties of Parallelograms
Exit Ticket
A quadrilateral is a parallelogram if any one of the
following is true.
Both pairs of opposite sides are __________and _________.
Both pairs of opposite angles are ___________.
Diagonals ____________ each other.
A pair of opposite sides is both ________and _________.
Quadrilaterals and Coordinates Proof
Re-teach MAFS.912.G-SRT.2.5: Use congruence and similarity
criteria for triangles to solve problems and to prove
relationships in geometric figures.
Math Nation Section 5 Topic 3 Independent Practice
Quadrilaterals and Coordinates Proof
Re-teach MAFS.912.G-CO.3.9: Prove theorems about lines
and angles; use theorems about lines and angles to solve
problems.
Math Nation Section 3 Topic 7 Independent Practice
Quadrilaterals and Coordinates Proof
Re-teach MAFS.912.G-CO.3.10: Prove theorems about
triangles; use theorems about triangles to solve problems.
Theorems include: measures of interior angles of a triangle
sum to 180°; base angles of isosceles triangles are congruent;
the segment joining midpoints of two sides of a triangle is
parallel to the third side and half the length; the medians of
a triangle meet at a point.
Math Nation Section 4 Topic 3 Independent Practice