If a point is equidistant from both endpoints of a line segment, then it is on the perpendicular bisector of that segment. Two lines intersect to create a 90 degree angle. Vertical angles are congruent. If two sides of a triangle are congruent, then the two opposite angles are congruent. If a point is on the perpendicular bisector of a segment, then it is equidistant from both endpoints of the segment. Any object is congruent to itself. (A-A, ZLMN = LMN, etc.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter4: Quadrilaterals
Section4.3: The Rectangle, Square, And Rhombus
Problem 42E: a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three...
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If two angles of a triangle are
congruent, then the two opposite
sides are congruent.
[Choose ]
Converse of the Perpendicular Bisector Theorem
Perpendicular Bisector Theorem
A point, line, or plane that divides an
angle or line segment into two
Vertical Angles Theorem
congruent halves.
СРСТС
Bisector
Corresponding parts of congruent
triangles are congruent. (If you already Converse of the Isosceles Triangle Theorem
know two triangles are congruent, you
also know all of their matching parts
Midpoint
are congruent.)
Segment Addition Postulate
Isosceles Triangle Theorem
The exact center point of a line
segment, equidistant from both
endpoints.
Perpendicular
Reflexive Property
If a point one a line segment divides it
into two smaller sections, then the
total length of the segment equals the
two smaller lengths added. (If point B
is on line segment AC, then AB + BC-
AC.)
[Choose]
Transcribed Image Text:If two angles of a triangle are congruent, then the two opposite sides are congruent. [Choose ] Converse of the Perpendicular Bisector Theorem Perpendicular Bisector Theorem A point, line, or plane that divides an angle or line segment into two Vertical Angles Theorem congruent halves. СРСТС Bisector Corresponding parts of congruent triangles are congruent. (If you already Converse of the Isosceles Triangle Theorem know two triangles are congruent, you also know all of their matching parts Midpoint are congruent.) Segment Addition Postulate Isosceles Triangle Theorem The exact center point of a line segment, equidistant from both endpoints. Perpendicular Reflexive Property If a point one a line segment divides it into two smaller sections, then the total length of the segment equals the two smaller lengths added. (If point B is on line segment AC, then AB + BC- AC.) [Choose]
Match the term to the correct definition, theorem or property. Be especially careful
to distinguish between theorems and their converses.
If a point is equidistant from both
endpoints of a line segment, then it is
on the perpendicular bisector of that
[Choose ]
segment.
Two lines intersect to create a 90
[Choose ]
degree angle.
Vertical angles are congruent.
[Choose]
If two sides of a triangle are
[Choose]
congruent, then the two opposite
angles are congruent.
If a point is on the perpendicular
bisector of a segment, then it is
equidistant from both endpoints of
the segment.
[Choose]
Any object is congruent to itself. (A=A,
ZLMN = LMN, etc.)
[Choose ]
Transcribed Image Text:Match the term to the correct definition, theorem or property. Be especially careful to distinguish between theorems and their converses. If a point is equidistant from both endpoints of a line segment, then it is on the perpendicular bisector of that [Choose ] segment. Two lines intersect to create a 90 [Choose ] degree angle. Vertical angles are congruent. [Choose] If two sides of a triangle are [Choose] congruent, then the two opposite angles are congruent. If a point is on the perpendicular bisector of a segment, then it is equidistant from both endpoints of the segment. [Choose] Any object is congruent to itself. (A=A, ZLMN = LMN, etc.) [Choose ]
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