1 / 11

Parallelograms

Parallelograms. Sec: 8.2 Sol: G.8 a, b, c. Quadrilaterals. Are four-sided polygons. What is a polygon? Example: Non – example: Example: Give the possible names of the following figure. Parallelogram.

maren
Download Presentation

Parallelograms

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 Sec: 8.2 Sol: G.8 a, b, c

  2. Quadrilaterals Are four-sided polygons. What is a polygon? Example: Non – example: Example: Give the possible names of the following figure.

  3. Parallelogram Is a quadrilateral with both pairs of opposite sides parallel. Ex: What are the vertices? Symbol: ABCD *they are labeled in order as they appear starting with one vertice.

  4. Properties of Parallelograms Theorem 8-3 : Opposite sides of a parallelogram are congruent. Ex: Theorem 8-4 : Opposite angles in a parallelogram are congruent. If AD = 16, BC=_______ If AB = 25, DC = _______ If the mA = 100, then m C = _____ If the mD = 80, then mB = ______

  5. Theorem 8-5 : Consecutive angles in a parallelogram are supplementary. Theorem 8-6 : If a parallelogram has one right angle, it has four right angles. If mA = 120, then mB =_________ If mA = 120, then mC =_________ If mC = 120, then mD =_________ mA = 90 mB= 90 mC = 90 mD = 90

  6. Theorem 8-7 : Diagonals of a parallelogram: The diagonals of a parallelogram bisect each other. Meaning the intersection of the two diagonals is the midpoint of each diagonal. Theorem 8-8 : Each Diagonal of a parallelogram separates the parallelogram into two congruent triangles. M If AM = 16, MC = ___ If DM = 25, MB = ___ If AC = 30, MC = ___

  7. Example: • MATH is a parallelogram. Find w, x, y and z. w° y° 55° z°

  8. Example: 2. Solve for w, x, y, and z. 3x - 4 33° 4w - 3 15.4 17.9 2y + 5 11.1 3z – 3 38° 20

  9. Example: 3. Parallelogram STOP has diagonals , that intersect at point M. If SM = 3a + 18, SO = 12a, MT = a+2b, MP = 3b + 1. Find a. b. and TP.

More Related