NSHS 612 Quadrilaterals and Parallelograms

For asynchronous time today, you will be learning about the properties of quadrilaterals and parallelograms. Understanding these shapes will help you with spacial understanding and improve your deductive reasoning skills. You'll learn about shapes that are used in many fields from construction to graphics design--these shapes are everywhere and it's important to know the properties that make them similar and unique!

Review the Quadrilaterals Asynch Deck on Schoology.

You may search online if you are not sure about a question, as long as you take the time to understand the solution. It is important you understand this material as you will be assessed on it on Friday when we complete our City Design Project.

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A rhombus is a quadrilateral.

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If a quadrilateral is a square then it is also a rectangle.

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If a quadrilateral is a trapezoid then it is also a parallelogram.

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If a quadrilateral is a rectangle then it is also a square.

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If a quadrilateral is a rhombus then it is also a square.

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If a quadrilateral is a parallelogram then it is also a rhombus.

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If a quadrilateral is a square then it is also a parallelogram.

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An isosceles trapezoid is a parallelogram.

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A rectangle is an isosceles trapezoid.

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A quadrilateral with four congruent sides is a square.

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A quadrilateral with four right angles is a rectangle

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A trapezoid has two pairs of parallel sides.

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A rectangle has congruent opposite sides.

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A parallelogram has exactly one pair of parallel sides.

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A parallelogram always has four congruent sides

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A kite has perpendicular diagonals.

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Directions: Look at each set of figures. Which shape would you exclude from the rest? Assume all figures are not drawn to scale so look at the markings on the figure to help you.

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Hint: one of these isn't always a parallelogram and could be an isosceles trapezoid.

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Hint: shapes are NOT drawn to scale

1

5

8

11

14

1

Solve for x

17

13

23

7

1

Solve for x

5

4

20

3

Use this image to answer the following quesitons, this shape is a square:

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1

If MJ = 12, then ML = and LK =

8 and 12

2 and 8

13 and 10

12 and 12

1

If MX = 8, then XJ = ___

4

5

7

8

1

If JL = 18, then MK = _, JX = and XK = __

18, 9, 9

9, 5, 5

18, 8, 8

16, 9, 9

1

Angle MJK = and angle MXJ =

45, 45

60, 60

90, 90

180, 180

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The numbered angles are all congruent and each has a measure of ____

180

90

60

45

(Optioal, not graded) Now that you've learned about parallelograms and quadrilaterals, enjoy some more fun with shapes in a game of tetrus: https://www.freetetris.org/game.php

NSHS 612 Quadrilaterals and Parallelograms

A rhombus is a quadrilateral.

If a quadrilateral is a square then it is also a rectangle.

If a quadrilateral is a trapezoid then it is also a parallelogram.

If a quadrilateral is a rectangle then it is also a square.

If a quadrilateral is a rhombus then it is also a square.

If a quadrilateral is a parallelogram then it is also a rhombus.

If a quadrilateral is a square then it is also a parallelogram.

An isosceles trapezoid is a parallelogram.

A rectangle is an isosceles trapezoid.

A quadrilateral with four congruent sides is a square.

A quadrilateral with four right angles is a rectangle

A trapezoid has two pairs of parallel sides.

A rectangle has congruent opposite sides.

A parallelogram has exactly one pair of parallel sides.

A parallelogram always has four congruent sides

A kite has perpendicular diagonals.

Hint: one of these isn't always a parallelogram and could be an isosceles trapezoid.

Hint: shapes are NOT drawn to scale

Solve for x

Solve for x

If MJ = 12, then ML = ____ and LK = ____

If MX = 8, then XJ = ___

If JL = 18, then MK = ___, JX = ____ and XK = ____

Angle MJK = ____ and angle MXJ = ____

The numbered angles are all congruent and each has a measure of ____

A rhombus is a quadrilateral.

If a quadrilateral is a square then it is also a rectangle.

If a quadrilateral is a trapezoid then it is also a parallelogram.

If a quadrilateral is a rectangle then it is also a square.

If a quadrilateral is a rhombus then it is also a square.

If a quadrilateral is a parallelogram then it is also a rhombus.

If a quadrilateral is a square then it is also a parallelogram.

An isosceles trapezoid is a parallelogram.

A rectangle is an isosceles trapezoid.

A quadrilateral with four congruent sides is a square.

A quadrilateral with four right angles is a rectangle

A trapezoid has two pairs of parallel sides.

A rectangle has congruent opposite sides.

A parallelogram has exactly one pair of parallel sides.

A parallelogram always has four congruent sides

A kite has perpendicular diagonals.

Hint: one of these isn't always a parallelogram and could be an isosceles trapezoid.

Hint: shapes are NOT drawn to scale

Solve for x

Solve for x

If MJ = 12, then ML = ____ and LK = ____

If MX = 8, then XJ = ___

If JL = 18, then MK = ___, JX = ____ and XK = ____

Angle MJK = ____ and angle MXJ = ____

The numbered angles are all congruent and each has a measure of ____

If MJ = 12, then ML = and LK =

If JL = 18, then MK = _, JX = and XK = __

Angle MJK = and angle MXJ =

If MJ = 12, then ML = and LK =

If JL = 18, then MK = _, JX = and XK = __

Angle MJK = and angle MXJ =