"Opposite Angle" PPT courseware 3

Description

"Opposite Angle" PPT courseware 3

Experiment and exploration one

Among the four angles obtained by the intersection of two straight lines, what are the characteristics of each two angles at the vertex and side?

Exercise 1

Are ∠1 and ∠2 in the figure below opposite vertex angles? Why?

Exercise 2

As shown in the figure, straight lines AE and BD intersect at point O,

The opposite vertex angle of ∠AOB is ∠EOD,

The subtended vertex angle of ∠BOE is ∠AOD.

Experiment and Exploration 2

What is the quantitative relationship between opposite vertex angles?

What methods can you use to verify?

example

As shown in the figure, straight lines AB and CD intersect at point O.

(1) Point out the opposite vertex angles and adjacent supplementary angles of ∠AOD.

(2) If ∠AOD = 105°, find the remaining angles.

(3) What is the relationship between the adjacent supplementary angles of ∠AOD? If:

"If two angles are opposite vertex angles, then their adjacent supplementary angles must also be opposite vertex angles." Is this correct?

(4) When ∠AOD=90°, what are the degrees of each of the other three angles?

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"Opposite Angle" PPT Courseware 2:

"Opposite Vertical Angle" PPT Courseware 2 Learning Objectives: 1. Understand the concept of opposite vertex angles and be able to identify them in graphics; 2. Master the properties of equality of opposite vertex angles and be able to use the properties of opposite vertex angles for related reasoning and calculations. Preview before class 1. If 1+ 2= 180, then 1 and 2 ____..

"Opposite Angle" PPT courseware:

"Opposite Vertical Angle" PPT Courseware Learning Objectives 1. Understand the concept of antipodal angle and be able to identify antipodal angles in graphics. 2. Be able to reason out the properties of equality of vertex angles. 3. Be able to reason and calculate using the property that vertex angles are equal. Observation and thinking 1. Read page 15 of the textbook...

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Update Time: 2024-12-03

This template belongs to Mathematics courseware Qingdao Edition Seventh Grade Mathematics Volume 2 industry PPT template

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