Calculus Fall 2010 Lesson 01



Lesson Plan #006

Class: Geometry Date: Wednesday September 30th, 2020

Topic: Definitions involving triangles and line segments associated with triangles.

Aim: What are some definitions involving triangles and line segments associated with triangles?

HW #006: Note: Test Thursday October 8th/Friday October 9th, 2020

Page #6 of this lesson plan

Objectives:

1) Students will be able to solve problems having to do with definitions involving triangles and line segments associated with triangles

2)

Do Now:

1) Which construction is shown in the accompanying diagram?

A) The bisector of angle ACD

B) The midpoint of line segment AC

C) The perpendicular bisector of line segment AB

D) The perpendicular bisector of line segment CD

3)

PROCEDURE:

Write the Aim and Do Now

Get students working!

Take attendance

Give Back HW

Collect HW

Go over the Do Now

A closed plane figure bounded by three or more line segments is called a polygon. The line segments forming a polygon are called its sides. The point of intersection of two consecutive sides of a polygon is called a vertex of the polygon. The number of vertices of the polygon is equal to the number of sides. A line segment joining any two non-consecutive vertices is called a diagonal. Draw a diagonal in the above polygon.

Let’s discuss a specific type of polygon, the triangle.

Triangles can be classified according to their sides in the following ways.

1) Scalene

2) Isosceles

3) Equilateral

What are the parts of an isosceles triangle?

Constructing an equilateral triangle:

Assignment #1: Construct an equilateral triangle with [pic]

Assignment #2:

Assignment #3:

Assignment #4:

[pic]

Assignment #5:

[pic]

What are some classifications of triangles based on their angles?

What are the parts of a right triangle?

What is an altitude in a triangle?

Definition: An altitude of a triangle is a line segment drawn from any vertex of the triangle, perpendicular to and ending in the line that contains the opposite side.

Sample Test Question:

Which of the figures shows an altitude of the triangle drawn?

Choices:

A. Figure 1

B. Figure 2

C. Figure 3

D. none of these

Construction:

Constructing a line perpendicular to a given line through a point not on the line.





Assignment #6: Construct an altitude in the triangle below from point A.

The orthocenter of a triangle is the point where the 3 altitudes meet. This point may be inside, outside or on the triangle. Construct the 3 altitudes in the above triangle and identify the orthocenter.





Assignment #7:

Construction Assignment #8: Construct a line perpendicular to a given line through a point on the line.





Practice it again!

Assignment #9:

Construct a square using the

length of [pic]as the length of a side of the square

where point P is one of the vertices of the square.

Assignment #10: In the diagram below, ................
................

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