constructing circumscribed circles adapted from walch education
TRANSCRIPT
- Slide 1
- Slide 2
- Constructing Circumscribed Circles Adapted from Walch Education
- Slide 3
- Key Concepts The perpendicular bisector of a segment is a line that intersects a segment at its midpoint at a right angle. When all three perpendicular bisectors of a triangle are constructed, the rays intersect at one point. This point of concurrency is called the circumcenter. 3.2.2: Constructing Circumscribed Circles2
- Slide 4
- Key Concepts, continued The circumcenter is equidistant from the three vertices of the triangle and is also the center of the circle that contains the three vertices of the triangle. A circle that contains all the vertices of a polygon is referred to as the circumscribed circle. 3.2.2: Constructing Circumscribed Circles3
- Slide 5
- Key Concepts, continued When the circumscribed circle is constructed, the triangle is referred to as an inscribed triangle, a triangle whose vertices are tangent to a circle. 3.2.2: Constructing Circumscribed Circles4
- Slide 6
- Practice Verify that the perpendicular bisectors of acute are concurrent and that this concurrent point is equidistant from each vertex. 3.2.2: Constructing Circumscribed Circles5
- Slide 7
- Construct the perpendicular bisector of 3.2.2: Constructing Circumscribed Circles6
- Slide 8
- Repeat the process for and 3.2.2: Constructing Circumscribed Circles7
- Slide 9
- Locate the point of concurrency. Label this point D O The point of concurrency is where all three perpendicular bisectors meet. 3.2.2: Constructing Circumscribed Circles8
- Slide 10
- Verify that the point of concurrency is equidistant from each vertex. O Use your compass and carefully measure the length from point D to each vertex. The measurements are the same. 3.2.2: Constructing Circumscribed Circles9
- Slide 11
- See if you can O Construct a circle circumscribed about acute 3.2.2: Constructing Circumscribed Circles10
- Slide 12
- Thanks for Watching!!! ~ms. dambreville