these 5. A tangent line to a circle is a line that intersects the circle at only one point. Euclid demonstrated that a tangent line is always perpendicular to the radius at its point of contact. In the figure, AP and BP are the tangent lines to the circle with center O at the points A and B. Show that: (a) AP = BP (b) ZAPO: = L BPO. Support your reasoning.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter64: Volumes Of Spheres And Composite Solid Figures
Section: Chapter Questions
Problem 27A
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Question
#5
ft. Find the length of the rafter PQ that extends from a corner of the building
long and 40 ft wide has a pyramidal roof whose height is
to the vertex of the roof.
15'
50'
the
40'
In the figure, AP and BP are the tangent lines to
the circle with center O at the points A and B.
Show that:
(a) AP = BP
(b) 2 APO = L BPO.
Support your reasoning.
6. Given the unit square ABCD, let E be the
midpoint of side AB and let F be the
midpoint of side BC.
TOP VIEW
(a) Prove that ADFG is a right triangle.
(b) Find the length of each side of ADFG.
these
5. A tangent line to a circle is a line that intersects the circle at only one point.
Euclid demonstrated that a tangent line is always perpendicular to the
radius at its point of contact.
P
D
50'
Q
G
40'
E
Transcribed Image Text:ft. Find the length of the rafter PQ that extends from a corner of the building long and 40 ft wide has a pyramidal roof whose height is to the vertex of the roof. 15' 50' the 40' In the figure, AP and BP are the tangent lines to the circle with center O at the points A and B. Show that: (a) AP = BP (b) 2 APO = L BPO. Support your reasoning. 6. Given the unit square ABCD, let E be the midpoint of side AB and let F be the midpoint of side BC. TOP VIEW (a) Prove that ADFG is a right triangle. (b) Find the length of each side of ADFG. these 5. A tangent line to a circle is a line that intersects the circle at only one point. Euclid demonstrated that a tangent line is always perpendicular to the radius at its point of contact. P D 50' Q G 40' E
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