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Published byClementine Lawson Modified over 8 years ago

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Classifying Quadrilaterals Properties of Parallelograms Trapezoids and Kites Rectangles Rhombii 1 pt 1 pt 1 pt 1 pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

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**Classify the following diagram in as many ways as possible.**

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Quadrilateral Parallelogram Rhombus

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Name the quadrilateral that has two pairs of adjacent sides that are congruent and no opposite sides congruent.

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Kite

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**What is the difference between a trapezoid and an isosceles trapezoid?**

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**A trapezoid is a quadrilateral with exactly one pair of parallel sides.**

An isosceles trapezoid is a trapezoid whose nonparallel opposite sides are congruent.

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**Find the value of x and y and then find the length of each side of the rhombus below.**

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x = 3 y = 5 All sides lengths are 15

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**Complete the following diagram representing the relationships among special quadrilaterals.**

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**Opposite sides of a parallelogram are _________________**

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Congruent

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**Explain why consecutive angles in a parallelogram are supplementary.**

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Consecutive angles are formed by two parallel lines cut by a transversal. These angle pairs are classified as same-side interior angles and same-side interior angles are supplementary when two parallel lines are cut by a transversal.

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**Based on the markings, decide whether each figure must be a parallelogram.**

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**b. No; the diagonals do not necessarily bisect each other.**

a. Yes; both pairs of alternate interior angles are congruent, therefore both pairs of opposite sides are parallel. b. No; the diagonals do not necessarily bisect each other.

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**Find the values of x and y for the parallelogram below.**

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x = 30 y = 55

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**Find the values of x and y and then find the length of each diagonal for the parallelogram below.**

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x = 8 y = 25 50; 80

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**Fill in the blank with always, sometimes, or never.**

A rectangle is ___________ a square.

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Sometimes

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**What is the relationship between the diagonals of a rectangle?**

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They are congruent

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**True or False? a. The opposite sides of a rectangle are congruent.**

b. The diagonals of a rectangle are always perpendicular. c. The diagonals of a rectangle bisect each other. d. The opposite angles of a rectangle are both congruent and supplementary.

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**a. True; a rectangle is a parallelogram and the opposite sides of a parallelogram are congruent**

b. False; unless the rectangle is a square, the diagonals are not perpendicular. c. True; a rectangle is a parallelogram and the diagonals of a parallelogram bisect each other. d. True; all four angles in a rectangle are 90 degrees, therefore the opposite angles are both congruent and supplementary.

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**Determine if the following diagrams are rectangles. Justify your answer.**

b.

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**a. No; the diagonals are not necessarily congruent.**

b. Yes; the diagonals are congruent.

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**Find the value of x for the following rectangle and then find the length of each diagonal.**

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x = 11 AC = BD = 16

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**What are the characteristics of a rhombus?**

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**A rhombus is a parallelogram with all four sides congruent.**

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True or False? A square is a rhombus.

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True

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**Based on the following diagram, determine if the parallelogram is a rhombus.**

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**Yes; the diagonal is bisecting two angles.**

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**Find the missing angle measures for the rhombus below.**

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90; 60; 60; 30

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**Find the value of x for which ABCD is a rhombus.**

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x = 4/3 y = 7

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**Find the value of x for the isosceles trapezoid below.**

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x = 3

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**Find the measure of each angle for the isosceles trapezoid below**

Find the measure of each angle for the isosceles trapezoid below. Justify your answer.

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**1 = 62; base angles of an isosceles trapezoid are congruent.**

2 = 118; angle 2 and the 62 degree angle are s.s.-interior angles. 3 = 118; angles 2 and 3 are base angles.

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**Find the value of x for the isosceles trapezoid below.**

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x = 4

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**Find the value of each missing angle for the kite below.**

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90; 9; 81; 40

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**Find the values of x and y for the kite below.**

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x = 35 y = 30

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