11.2 a reas of t riangles, t rapezoids, and r hombi learning targets: we will learn to find the...

8
11.2 AREAS OF TRIANGLES, TRAPEZOIDS, AND RHOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning this? In construction, area will be needed for structures with the above shapes. What formulas of area do we already know?

Upload: rosa-marshall

Post on 08-Jan-2018

227 views

Category:

Documents


0 download

DESCRIPTION

E XAMPLE 1: A REA OF T RIANGLES You can choose any side to be the base as long as you have the corresponding altitude to represent the height*

TRANSCRIPT

Page 1: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

11.2 AREAS OF TRIANGLES, TRAPEZOIDS, AND RHOMBILearning Targets:We will learn to find the areas of triangles, trapezoids and rhombi

Why are we learning this?In construction, area will be needed for structures with the above shapes.

What formulas of area do we already know?

Page 2: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

GEOMETRY ACTIVITY* SKETCH PAD Cut out two triangles of the exact same size Cut one of your triangles along one of the

altitudes Create a rectangle and write down the

formula for area of a rectangle Then think what would the area of a triangle

be:

Page 3: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

EXAMPLE 1: AREA OF TRIANGLES

You can choose any side to be the base as long as you have the corresponding altitude to represent the height*

Page 4: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

AREA OF TRAPEZOIDS*The area of a trapezoid is related to the area of a triangle.

Divide your trapezoid into triangles

When calculating the area of the triangles which height (altitude) should we use to be simple?

Page 5: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

EX 2: AREA OF A TRAPEZOID ON THE COORDINATE PLANE

Page 6: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

AREA OF A RHOMBUSThe area of a trapezoid is related to the area of a triangle.

Divide your trapezoid into triangles

When calculating the area of the triangles which height (altitude) should we use to be simple?

Page 7: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

EX 3 AREA OF A RHOMBUS ON THE COORDINATE PLANE

Page 8: 11.2 A REAS OF T RIANGLES, T RAPEZOIDS, AND R HOMBI Learning Targets: We will learn to find the areas of triangles, trapezoids and rhombi Why are we learning

EXAMPLE 4: ALGEBRA: FIND MISSING MEASURES