standard_description: Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
problem_activity: Problem 1
In the diagram below,
$$\angle CAB$$
is a central angle,
$$\angle CDB$$
is an inscribed angle, and
$$\widehat{CB}$$
is an intercepted arc.
[IMG]
What do you notice about the inscribed angle and the central angle in relation to the intercepted arc?
The two diagrams below also show that
$$\angle CAB$$
is a central angle,
$$\angle CDB$$
is an inscribed angle, and
$$\widehat{CB}$$
is an intercepted arc.
[IMG]
What is the definition of an inscribed angle and an intercepted arc?
Problem 2
What is the angle measure that represents
$$\widehat{EB}$$
?
[IMG]
Problem 3
Given that
$$\triangle BCD$$
is inscribed in circle
$$A$$
, determine the relationship between
$$\angle t$$
and
$$\angle y$$
.
[IMG]


aligns: no