In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral DROA Needed Values of Segments/Angles: (Angle/s: DRO, ROA, ÕAD, ADR) R. Theorem 105: The Perpendicular to a Chord Theorem Segment DK is congruent to Segment KO Segment HK is Perpendicular to Segment DO, therefore Segment HK bisects Segment DO Needed Values of Segments/Angles: (Segment/s: HK & DO) K Theorem 108: The Perpendicular Bisector Chord to Central Angle Theorem Segment HK is the Perpendicular Bisector of Chord DO, therefore Segment HK bisects Angle DHO Needed Values of Segments/Angles: (Angle/s: DHO) Theorem 110: Distance - Chord Theorem Segment HZ is congruent to Segment HP, therefore Chord DA is congruent to Chord OA Needed Values of Segments/Angles: (Segment/s: HZ, HP, DA, OA) Theorem 114: The Intersecting Secants- Interior Theorem Lines NO and DL intersects at point C, therefore the measure of Angle LCN is equals to half of the sum of Arc LAN and Arc DO Needed of Arcs/Angles: (Arc/s: LAN & DO ; Angle/s: LCN)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

Find the angle and segment with solutions. You may create your own values.

 

Note: Theorem 110, must have special right triangle to prove.

In Circle H, Segment RA is a diameter
Theorem 100: Inscribed Quadrilateral Theorem
Quadrilateral DROA
Needed Values of Segments/Angles:
(Angle/s: DRO, ROA, ÕAD, ADR)
R
Theorem 105: The Perpendicular to a Chord Theorem
Segment DK is congruent to Segment KO
Segment HK is Perpendicular to Segment DO,
therefore Segment HK bisects Segment DO
Needed Values of Segments/Angles:
(Segment/s: HK & DO)
K
------
Theorem 108: The Perpendicular Bisector Chord to Central
Angle Theorem
Segment HK is the Perpendicular Bisector of Chord
DO, therefore Segment HK bisects Angle DHO
Needed Values of Segments/Angles:
(Angle/s: DHO)
Theorem 110: Distance - Chord Theorem
Segment HZ is congruent to Segment HP, therefore
Chord DA is congruent to Chord OA
Needed Values of Segments/Angles:
(Segment/s: HZ, HP, DA, OA)
A
Theorem 114: The Intersecting Secants - Interior Theorem
Lines NO and DL intersects at point C, therefore the
measure of Angle LCN is equals to half of the sum of
Arc LAN and Arc DO
Needed of Arcs/Angles:
(Arc/s: LAN & DO ; Angle/s: LCN)
Transcribed Image Text:In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral DROA Needed Values of Segments/Angles: (Angle/s: DRO, ROA, ÕAD, ADR) R Theorem 105: The Perpendicular to a Chord Theorem Segment DK is congruent to Segment KO Segment HK is Perpendicular to Segment DO, therefore Segment HK bisects Segment DO Needed Values of Segments/Angles: (Segment/s: HK & DO) K ------ Theorem 108: The Perpendicular Bisector Chord to Central Angle Theorem Segment HK is the Perpendicular Bisector of Chord DO, therefore Segment HK bisects Angle DHO Needed Values of Segments/Angles: (Angle/s: DHO) Theorem 110: Distance - Chord Theorem Segment HZ is congruent to Segment HP, therefore Chord DA is congruent to Chord OA Needed Values of Segments/Angles: (Segment/s: HZ, HP, DA, OA) A Theorem 114: The Intersecting Secants - Interior Theorem Lines NO and DL intersects at point C, therefore the measure of Angle LCN is equals to half of the sum of Arc LAN and Arc DO Needed of Arcs/Angles: (Arc/s: LAN & DO ; Angle/s: LCN)
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning