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6.7 Areas of Triangles and Quadrilaterals
The area of a Square Area of a Square
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 area of it nonoverlapping parts. The Blue area is Area of A+B+C+D+E+F+G+H
The Area of a Rectangle Area of a Rectangle is Base times height.
The Area of a Parallelogram Area of a Parallelogram is Base times height.
Area of a Triangle Area is one half base times height, even if the height is outside of the triangle
Area of a Trapezoid Area is one half height times(base 1 + base 2 ). Height is from base 1 to base 2
Area of a Kite Area is one half of diagonal 1 times diagonal 2
Area of a Rhombus Area is one half of diagonal 1 times diagonal 2
Find the Area Square
Find the Area Square Area in 2
Find the Area Rectangles Area =
Find the Area Rectangles Area = 27.36in in 2 = in 2
Find the Area Parallelogram Area =
Find the Area Parallelogram Area = in 2
Find the Area Find the area of the Trapezoid
Find the Area Find the area of the Trapezoid height = 4 base 1 = 4 base 2 = 6
Find the Area Find the area of the Trapezoid Area height = 4 ½(4)(4+6) ½(4)(10) base 1 = 4 2(10) base 2 = 6 Area = 20
Find the length of the diagonal Rhombus Area is 192 units 2
Find the length of the diagonal Rhombus Area is 192 units = ½(8+16)(diagonal) 192 = ½(24)(diagonal) 192 = 12(diagonal) 16 = diagonal What is x ?
Find the Area What is the total Area
Find the Area What is the total Area Trap = ½(3)(10+16) = 39 Rect. = 8(16) = 128 Total = 167in 2
Homework Page 376 – 377 # 14 – 38
6.7 Area of Triangles and Quadrilaterals Area Postulates: Postulate 22 Area of a Square: The area of a square is the square of the length of its side,
Sect. 6.7 Areas of Triangles and Quadrilaterals Goal 1 Using Area Formulas Goal 2 Areas of Trapezoids, Kites and Rhombuses.
TODAY IN GEOMETRY… Review: Pythagorean Theorem and Perimeter Learning Target: You will find areas of different polygons Independent practice.
6.7 Area of Triangles and Quadrilaterals. Using Area Formulas You can use the postulates below to prove several theorems. AREA POSTULATES Postulate 22.
10.1 and 10.2 Area of Parallelograms, Triangles, Trapezoids, Rhombuses, and Kites.
Warm-Up Find the area: 1.Square with side length 13 2.Triangle with hypotenuse 13 and leg 5 3.Rectangle with base 24 and height 15 4.Parallelogram with.
10-2 Areas of Trapezoids, Rhombuses & Kites Objective: To find the area of a trapezoid, rhombus or kite Essential Understanding You can find the area of.
DEVELOPING FORMULAS FOR TRIANGLES AND QUADRILATERALS Geometry CP1 (Holt 10-1)K. Santos.
6.7 Areas of Triangles and Quadrilaterals Day #1 Geometry.
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4/10 – 4/11 Outcomes You will be able to find the areas of squares, rectangles, parallelograms and triangles. You will be able to find the areas of trapezoids,
Quadrilaterals Always, Sometimes, or Never. Quadrilaterals A rectangle is a parallelogram. always.
Using Area Formulas You can use the postulates below to prove several theorems. AREA POSTULATES Postulate 22 Area of a Square Postulate Postulate 23 Area.
A quadrilateral is a four-sided plane. A parallelogram is a four-sided plane that meets the following criteria: Opposite sides are parallel Opposite.
10.2 Areas of Trapezoids, Rhombuses, and Kites The height of a trapezoid is the perpendicular distance between the bases. The area of a trapezoid is half.
TODAY IN GEOMETRY… BOOK RETURN: by this Friday! Learning Target 1: You will find areas of different polygons AT EXIT: In class assignment.
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Chapter 10: Area 10.2 Areas of Trapezoids, Rhombuses, and Kites.
Chapter 11.1 Notes: Areas of Triangles and Parallelograms Goal: You will find areas of triangles and parallelograms.
6-7 Polygons in the Coordinate Plane. Classifying Quadrilaterals Given the coordinates of the vertices, how would you determine if the quadrilateral is…
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TODAY IN GEOMETRY… Warm up: Areas of Triangles and Parallelograms Learning Target: 11.2 You will find areas of trapezoids, rhombuses and kites. Independent.
Areas of Triangles and Quadrilaterals. Area of a Square The area of a square is the square of the length of its side, or A = s 2. Area Congruence If two.
Honors Geometry Section 5.2 Areas of Triangles and Quadrilaterals.
Chapter 6.1 Notes Polygon – is a simple, closed figure made with straight lines. vertex vertex side side Convex – has no indentation Concave – has an indentation.
7.4: Areas of Trapezoids, Rhombuses, and Kites Objective: 1. To find the areas of trapezoids, rhombuses, and kites.
Geometry Section 11.2 Areas of Trapezoids, Rhombuses, and Kites.
Advanced Geometry 5.7 Proving Special Quadrilaterals.
Name That Quadrilateral Be as specific as possible. Trapezoid.
Circle – Formulas. Quadrilaterals – Formulas Square Area = s 2 Perimeter = 4s (s = side) Rectangle Area = lb Perimeter = 2(l+b) l = length b = breadth.
Two Special Right Triangles 45°- 45°- 90° 30°- 60°- 90°
Always/ Sometimes/ Never And Must be: could be And Name that quadrilateral Quadrilateral Properties.
Triangles, Trapezoids & Kites Objective: Derive and use area formulas for triangles, trapezoids & kites.
Rectangle l - length w - width Square s – side length s s s.
11-2 Areas of Trapezoids, Rhombi, and Kites You found areas of triangles and parallelograms. Find areas of trapezoids. Find areas of rhombi and kites.
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Lesson 6.3/6.4 Objective: To find the two missing lengths of a 30°- 60°- 90°triangle. To classify four sided polygons. In a 30°-60°-90° triangle, The hypotenuse.
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