Geometry Topic 4 Quadrilaterals and Coordinate Proof Reporting

MAFS. 912. G-CO. 3. 11 Which statement is NOT always true about a parallelogram?

MAFS. 912. G-CO. 3. 11 Which statement is true about every parallelogram? A. B.

MAFS. 912. G-CO. 3. 11 A quadrilateral whose diagonals bisect each other and are

MAFS. 912. G-CO. 3. 11 Which quadrilateral has diagonals that are always perpendicular bisectors

MAFS. 912. G-CO. 3. 11 Use the points shown in the coordinate plane pictured

MAFS. 912. G-CO. 3. 11 Quadrilateral ABCD is a parallelogram. Jaleel is trying to

MAFS. 912. G-CO. 3. 11 A student in a Geometry class was given this

MAFS. 912. G-GPE. 2. 4 A. B. C. D. Trapezoid Rectangle Rhombus Square

MAFS. 912. G-GPE. 2. 7 Find the perimeter of the triangle.

MAFS. 912. G-GPE. 2. 7 Your club is making a banner for an upcoming

MAFS. 912. G-GPE. 2. 7 The diagonals of a rectangle are points A(-4, 1

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Geometry Topic 4 Quadrilaterals and Coordinate Proof

Reporting Category Questions

MAFS. 912. G-CO. 3. 11

MAFS. 912. G-CO. 3. 11 Which statement is NOT always true about a parallelogram? A. B. C. D. The diagonals are congruent. The opposite sides are congruent. The opposite angles are congruent. The opposite sides are parallel.

MAFS. 912. G-CO. 3. 11 Which statement is true about every parallelogram? A. B. C. D. All four sides are congruent. The interior angles are all congruent. Two pairs of opposite sides are congruent. The diagonals are perpendicular to each other.

MAFS. 912. G-CO. 3. 11

MAFS. 912. G-CO. 3. 11 A quadrilateral whose diagonals bisect each other and are perpendicular is a… A. B. C. D. Rhombus Rectangle Trapezoid Parallelogram

MAFS. 912. G-CO. 3. 11 Which quadrilateral has diagonals that are always perpendicular bisectors of each other? A. B. C. D. Square Rectangle Trapezoid Parallelogram

MAFS. 912. G-CO. 3. 11 Use the points shown in the coordinate plane pictured to determine two other points that can be used to form a parallelogram. Justify your solution using properties of parallelograms.

MAFS. 912. G-CO. 3. 11

MAFS. 912. G-CO. 3. 11 Quadrilateral ABCD is a parallelogram. Jaleel is trying to prove that both pairs of opposite sides of Quadrilateral ABCD are congruent. Complete the proof. Statements Quadrilateral ABCD is a parallelogram Reasons Given Definition of parallelogram Reflexive property If two lines are parallel, alternate interior angles are congruent Angle-side-angle (ASA) Corresponding parts of congruent triangles are congruent

MAFS. 912. G-CO. 3. 11 A student in a Geometry class was given this diagram of quadrilateral CDEF. The student wants to prove quadrilateral CDEF is a parallelogram. Six reasons are shown, labeled 1 through 6. 1. Definition of parallelogram 2. Given 3. Side-Side (SSS) 4. Reflexive property of equality 5. Alternate interior angles are equal, so lines are parallel 6. Corresponding parts of congruent triangles are congruent Statements Reasons

MAFS. 912. G-GPE. 2. 4 A. B. C. D. Trapezoid Rectangle Rhombus Square

MAFS. 912. G-GPE. 2. 4

MAFS. 912. G-GPE. 2. 7 Find the perimeter of the triangle.

MAFS. 912. G-GPE. 2. 7 Your club is making a banner for an upcoming event. You need to purchase some fabric while staying within your budget. Part A: Calculate the area of your banner based on the given diagram. Part B: The fabric you want is $3. 99 per square yard. How much will the fabric cost? Continue on next slide…

MAFS. 912. G-GPE. 2. 7 Your club is making a banner for an upcoming event. You need to purchase some fabric while staying within your budget. Part C: The banner could use a border. How much material will you need for the border? Part D: The border material costs $1. 25 per yard. If you have $18 left over in the budget, can you afford a border?

MAFS. 912. G-GPE. 2. 7 The diagonals of a rectangle are points A(-4, 1 ) and C(6, -4 ). Determine the area of the rectangle. Verify your answer algebraically.

MAFS. 912. G-GPE. 2. 7