1 / 23

6.7 Areas of Triangles and Quadrilaterals

6.7 Areas of Triangles and Quadrilaterals. Warmup. 1. 2. 3. Area Postulates. Area of a Square Postulate The area of a square is the square of the length of its sides, or A = s 2 . Area Congruence Postulate If two polygons are congruent, then they have the same area.

jerryj
Download Presentation

6.7 Areas of Triangles and 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. 6.7 Areas of Triangles and Quadrilaterals

  2. Warmup 1. 2. 3.

  3. Area Postulates • Area of a Square Postulate • The area of a square is the square of the length of its sides, or A = s2. • Area Congruence Postulate • If two polygons are congruent, then they have the same area. • Area Addition Postulate • The area of a region is the sum of the areas of its non-overlapping parts.

  4. Area • Rectangle: A = bh • Parallelogram: A = bh • Triangle: A = ½ bh • Trapezoid: A = ½ h(b1+b2) • Kite: A = ½ d1 d2 • Rhombus: A = ½ d1 d2

  5. Find the area of ∆ ABC. C 7 4 6 L B A 5

  6. Find the area of a trapezoid with vertices at A(0,0), B(2,4), C(6,4), and D(9,0).

  7. Find the area of the figures. 4 L L L L 4 4 2 L L L L 4 5 8 12

  8. Find the area of ABCD. B C ABCD is a parallelogram Area = bh = (16)(9) = 144 9 E 16 A D 12

  9. Find the area of a trapezoid. • Find the area of a trapezoid WXYZ with W(8,1), X(1,1), Y(2,5), and Z(5,5).

  10. Find the area of rhombus. • Find the area of rhombus ABCD. B Area of Rhombus A = ½ d1 d2 = ½ (40)(30) = ½ (1200) = 600 15 20 20 A C 15 25 D

  11. The area of the kite is160. • Find the length of BD. A 10 D B C

  12. Ch 6 Review Day 4 Part 2

  13. Review 1 • A polygon with 7 sides is called a ____. A) nonagon B) dodecagon C) heptagon D) hexagon E) decagon

  14. Review 2 • Find m<A A) 65° B) 135° C) 100° D) 90° E) 105° B A 165° C 30° 65° D

  15. Review 3 • Opposite angles of a parallelogram must be _______. A) complementary B) supplementary C) congruent D) A and C E) B and C

  16. Review 4 • If a quadrilateral has four equal sides, then it must be a _______. A) rectangle B) square C) rhombus D) A and B E) B and C

  17. Review 5 • The perimeter of a square MNOP is 72 inches, and NO = 2x + 6. What is the value of x? A) 15 B) 12 C) 6 D) 9 E) 18

  18. Review 6 • ABCD is a trapezoid. Find the length of midsegment EF. A) 5 B) 11 C) 16 D) 8 E) 22 13 A E 11 B 5 D F C 9

  19. Review 7 • The quadrilateral below is most specifically a __________. A) rhombus B) rectangle C) kite D) parallelogram E) trapezoid

  20. Review 8 • Find the base length of a triangle with an area of 52 cm2 and a height of 13cm. A) 8 cm B) 16 cm C) 4 cm D) 2 cm E) 26 cm

  21. Review 9 • A right triangle has legs of 24 units and 18 units. The length of the hypotenuse is ____. A) 15 units B) 30 units C) 45 units D) 15.9 units E) 32 units

  22. Review 10 • Sketch a concave pentagon. • Sketch a convex pentagon.

  23. Review 11 • What type of quadrilateral is ABCD? Explain your reasoning. D 120° A 60° C 120° Isosceles Trapezoid Isosceles : AD = BC Trapezoid : AB ll CD 60° B

More Related