1 / 11

2.3: Quadrilaterals

- parallelograms. 2.3: Quadrilaterals. CCSS:. GSE’s. M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving polygons. Quadrilaterals. 4-Sided polygon. Parallelogram.

tate
Télécharger la présentation

2.3: Quadrilaterals

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. - parallelograms 2.3: Quadrilaterals CCSS: GSE’s M(G&M)–10–2 Makes and defends conjectures, constructs geometric arguments, uses geometric properties, or uses theorems to solve problems involving polygons

  2. Quadrilaterals • 4-Sided polygon

  3. Parallelogram • A Quadrilateral with both pairs of opposite sides parallel A B C D

  4. Properties of Parallelograms Find all the angle measures Inside of the parallelogram 50 Write some conjectures about the angles in a parallelogram

  5. Properties of Every Parallelogram: • Both pairs of opposite sides are congruent. • Both pairs of opposite angles are congruent. • Consecutive adjacent angles are supplementary. • Diagonals bisect each other.

  6. Example Find every angle measure in the figure.

  7. RSTU is a parallelogram. Find and y. Example 2-2a

  8. Example 2 Parallelogram ABCD, find x. A B 2x+12 26 C D 22

  9. MULTIPLE-CHOICE TEST ITEM What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(–3, 0), N(–1, 3), P(5, 4), and R(3, 1)? A B C D Read the Test ItemSince the diagonals of a parallelogram bisect each other, the intersection point is the midpoint of Example 2-3a

  10. MULTIPLE-CHOICE TEST ITEM What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with verticesL(0, –3), M(–2, 1), N(1, 5), O(3, 1)? A BC D Example 2-3c Answer: B

  11. Parallelogram ABDC Find the equation of the Lines of DC and BA. What do we know should be true?

More Related