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MJ2

MJ2. Ch 10.5 - Quadrilaterals. Bellwork. Draw the triangles and find the value of x. 1. 2. 53°. x °. 34°. 56°. x°. Assignment Review. Reminder: Your Triangle Poster is Due on _________ I will add 5 points to your grade if your poster is handed in on ___________

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MJ2

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  1. MJ2 Ch 10.5 - Quadrilaterals

  2. Bellwork • Draw the triangles and find the value of x 1. 2. 53° x° 34° 56° x°

  3. Assignment Review Reminder: • Your Triangle Poster is Due on _________ • I will add 5 points to your grade if your poster is handed in on ___________ • Unfortunately, If the poster is not handed in by ________ I will give you a zero (0) as I do not accept late assignments!

  4. Before we begin… • Please take out your notebook and get ready to work… • For the past couple of days we have been studying angles and triangles… • Today we will look at quadrilaterals… • Raise your hand if you know what a quadrilateral is…

  5. Quadrilaterals • Correct…a quadrilateral is a closed figure with 4 sides and 4 angles… • Raise your hand if you can name some examples…

  6. Objective • Students will classify and find the missing angle measure of quadrilaterals.

  7. Classifying Quadrilaterals • When classifying quadrilaterals you use the name that best describes it… • That means we all need to have the same understanding of the characteristics of each type of quadrilateral • Please copy the vocabulary on the next slide…

  8. Vocabulary • Quadrilateral – any 4 sided, 4 angle figure • Trapezoid – a quadrilateral with one pair of parallel sides • Parallelogram – a quadrilateral with opposite sides parallel and opposite sides congruent • Rectangle – a parallelogram with 4 right angles • Square – a parallelogram with 4 right angles and 4 congruent sides • Rhombus – a parallelogram with 4 congruent sides

  9. Comments • When viewing pictures of quadrilaterals there are 2 types symbols that you need to be aware of • The hash mark (/) means the sides are congruent. If multiple sides are congruent you will see 1 or 2 hash marks • The arrow () indicates that the sides are parallel. If multiple sides are parallel you will see 1 or 2 arrows. • Lets look at some examples…

  10. Examples Square: 4 right angles & 4 congruent sides Trapezoid – 1 set of parallel sides

  11. Missing Angle Measurements • All the angles in any quadrilateral equal 360° . • To find the missing measure use the same process as finding the angles of a triangle. • Add up the given angles and subtract from 360° . • Lets look at an example…

  12. 108° x° 55° 59° Example Before you begin…look at angle x. Will it be >90°, <90°, or =90° ? Why? Raise your hand if you know the answer..

  13. 108° x° 55° 59° Example • Correct…because x is an obtuse angle it will be greater than 90° • The reason you look at that is to make sure that your answer is reasonable…so if you get an answer less than or equal to 90°, you have to question it!

  14. 108° x° 55° 59° Example • To find the missing measure add up the angles and subtract from 360°. 360-(108+55+59)=x 360 – 222 = x 138 = x Therefore, x = 138° and your answer is reasonable!

  15. Your Turn • In the notes section of your notebook draw the figure and solve for x x° 113°

  16. Summary • In the notes section of your notebook summarize the key concepts covered in today’s lesson • Today we discussed • The types of quadrilaterals – you will see this on a test! • How to find the missing angle of a quadrilateral!

  17. Assignment • Quadrilateral Concept Map • Follow the directions on the sheet!

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