Congnient triangles Triangles in which corresponding parts (sides and angles) are equal in measure Similar triangles Triangles in which corresponding angles are equal in measure and corresponding sides are in proportion (ratios equal) A ray that begins at the vertex of an angle and divides the angle into two angles of equal Angle bisector measure

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Draw a visual clue for each definition please and thank you
Congrient triangles Triangles in which corresponding parts (sides
and angles) are equal in measure
Triangles in which corresponding angles are
equal in measure and corresponding sides are
in proportion (ratios equal)
A ray that begins at the vertex of an angle and
divides the angle into two angles of equal
Similar triangles
Angle bisector
measure
A ray, line or segment that divides a segment
into two parts of equal measure
The sides of equal measure in an isosceles
triangle
Segment bisector
Legs of an
isosceles triangle
The third side of an isosceles triangle
Base of an
isosceles triangle
Equiangular
Having angles that are all equal in measure
A line that bisects a seginent and is
perpendicular to it
A segment from a vertex of a triangle
perpendicular to the line containing the
opposite side
Perpendicular
bisector
Altitude
Angle Postulates And Theoreins
Definition
Visual Clue
Name
Angle Addition
postulate
For any angle, the measure of the whole is
equal to the sum of the measures of its non-
overlapping parts
Linear Pair Theorem If two angles form a linear pair, then they
are supplementary.
If two angles are supplements of the same
C'ongruent
supplements theorem angle. then they are congruent.
C'ongruent
complements
theorem
If two angles are complements of the same
angle, then they are congruent.
All right angles are congruent.
Right Angle
Congruence
Theorem
Vertical angles are equal in measure
Vertical Angles
Theorem
Reflexive Property of Congruence | A A
Transcribed Image Text:Congrient triangles Triangles in which corresponding parts (sides and angles) are equal in measure Triangles in which corresponding angles are equal in measure and corresponding sides are in proportion (ratios equal) A ray that begins at the vertex of an angle and divides the angle into two angles of equal Similar triangles Angle bisector measure A ray, line or segment that divides a segment into two parts of equal measure The sides of equal measure in an isosceles triangle Segment bisector Legs of an isosceles triangle The third side of an isosceles triangle Base of an isosceles triangle Equiangular Having angles that are all equal in measure A line that bisects a seginent and is perpendicular to it A segment from a vertex of a triangle perpendicular to the line containing the opposite side Perpendicular bisector Altitude Angle Postulates And Theoreins Definition Visual Clue Name Angle Addition postulate For any angle, the measure of the whole is equal to the sum of the measures of its non- overlapping parts Linear Pair Theorem If two angles form a linear pair, then they are supplementary. If two angles are supplements of the same C'ongruent supplements theorem angle. then they are congruent. C'ongruent complements theorem If two angles are complements of the same angle, then they are congruent. All right angles are congruent. Right Angle Congruence Theorem Vertical angles are equal in measure Vertical Angles Theorem Reflexive Property of Congruence | A A
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