1 / 17

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 ___________

kato-phelps
Télécharger la présentation

MJ2

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  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!

More Related