7-1 Areas of Parallelograms and Triangles M11.C.1 2.9.11.G Objectives: 1) To find the area of a parallelogram and a triangle.

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Presentation transcript:

7-1 Areas of Parallelograms and Triangles M11.C G Objectives: 1) To find the area of a parallelogram and a triangle.

 Area of a Rectangle the area of a rectangle is the product of its base and height. A = bh  Area of a Parallelogram the area of a parallelogram is the product of a base and the corresponding height. A = bh

 A base of a parallelogram is any of its sides. The corresponding altitude is a segment perpendicular to the line containing that base drawn from the side opposite the base. The height is the length of an altitude.

Examples  Find the area of each parallelogram.

 Find the area of Parallelogram ABCD With vertices A (-4, 3), B(-2,-1), C(3,-1), D(1,3)

Example  For parallelogram ABCD, find CF to the nearest tenth.

Example Find h.

 Theorem: Area of a Triangle  The area of a triangle is half the product of a base and the corresponding height.  A = 1/2bh

Example Find the area of triangle ABC. Find the area of triangle ABD.

 Homework  Handed In  Page 351 #1-3, 11-13, 15-21