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NSHS 612 Quadrilaterals and Parallelograms

Last updated almost 5 years ago

27 questions

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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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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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Question 20

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Question 21

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Question 22

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

Question 23

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Question 27

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(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 

A rhombus is a quadrilateral.

True

False

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

True

False

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

True

False

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

True

False

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

True

False

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

True

False

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

True

False

An isosceles trapezoid is a parallelogram.

True

False

A rectangle is an isosceles trapezoid.

True

False

A quadrilateral with four congruent sides is a square.

True

False

A quadrilateral with four right angles is a rectangle

True

False

A trapezoid has two pairs of parallel sides.

True

False

A rectangle has congruent opposite sides.

True

False

A parallelogram has exactly one pair of parallel sides.

True

False

A parallelogram always has four congruent sides

True

False

A kite has perpendicular diagonals.

True

False

A

B

C

D

E

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

A

B

C

D

E

Hint: shapes are NOT drawn to scale

A

B

C

D

E

5

8

11

14

Solve for x

17

13

23

7

Solve for x

5

4

20

3

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

8 and 12

2 and 8

13 and 10

12 and 12

If MX = 8, then XJ = ___

4

5

7

8

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

18, 9, 9

9, 5, 5

18, 8, 8

16, 9, 9

Angle MJK = ____ and angle MXJ = ____

45, 45

60, 60

90, 90

180, 180

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

180

90

60

45