Geometry II - Understanding Lines and Arcs in a Circle
This content discusses concepts related to geometry, focusing on lines and arcs within a circle. It explores the properties of lines AB and APB, measures of angles AOB and APB, as well as the shapes formed within the circle. The discussion provides a clear understanding of the terminology and geometrical relationships involved in the context of Chapter 11 Geometry II.
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Discussion Time Discussion Time Chapter 11 : Geometry II Page: 224
Question posed: Question posed: 1. What do we call the line AB? 2. What is the measure of AOB? 3. Name the arc AOB is standing on. 4. Name the arc APB is standing on. 5. What is the measure of APB? Justify your answer. 6. What shape is formed in the circle by the line AB? 2 Chapter 11: Geometry II page 224
Suggested solution: Suggested solution: 1. What do we call the line AB? The line AB is called a diameter. 2. What is the measure of AOB? |<AOB| = 180 o since it is a straight angle. 3. Name the arc AOB is standing on. <AOB is standing on the arc AB. 3 Chapter 11: Geometry II page 224
4. Name the arc APB is standing on. <APB is standing on the arc AB. 5. What is the measure of APB? Justify your answer. |<APB|= 90o since it half <AOB. 6. What shape is formed in the circle by the line AB? The shape formed is a right-angled triangle. 4 Chapter 11: Geometry II page 224
