Prove that one of the diagonals of a kite bisects two of the angles of the kite. Statement Reason Given Given Angle JKL = Angle JML Triangle is congruent to Triangle Angle KJL is congruent to Angle MJL Angle is congruent to Angle JL bisects angles and Definition of angle bisector what about the other diagonal - must it also be an angle bisector? Explain your response.
Prove that one of the diagonals of a kite bisects two of the angles of the kite. Statement Reason Given Given Angle JKL = Angle JML Triangle is congruent to Triangle Angle KJL is congruent to Angle MJL Angle is congruent to Angle JL bisects angles and Definition of angle bisector what about the other diagonal - must it also be an angle bisector? Explain your response.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Recall; In Euclidean geometry, a kite is a quadrilateral whose four sides can be grouped into two pairs of equal-length sides that are adjacent to each other.
Kites have a couple of properties that will help us identify them from other quadrilaterals.
(1) The diagonals of a kite meet at a right angle.
(2) Kites have exactly one pair of opposite angles that are congruent.
These two properties are illustrated in the diagram below.
K.
Ni
Prove that one of the diagonals of a kite bisects two of the angles of the kite.
Statement
Reason
Given
Given
Angle JKL = Angle JML
%3D
Triangle
is congruent to
Triangle
Angle KJL is congruent to Angle MJL
Angle
is congruent to Angle
JL bisects angles
and
Definition of angle bisector
what about the other diagonal - must it also be an angle bisector? Explain your response.
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