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Congruent Triangles
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Key Concepts:
Terms in this set (23)
Side-Side-Side (SSS)
If three sides of one triangle are congruent to three sides of another triangle, then triangles are congruent.
Side-Angle-Side (SAS)
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Angle-Side-Angle (ASA)
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
Angle-Angle-Side (AAS)
If two angles and the non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then these two triangles are congruent.
Hypotenuse Leg (HL)
If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Incorrect Congruence Theorems
SSA, AAA
SSS
SAS
ASA
AAS
HL
Midpoint
cuts a side into two equal segments.
Angle Bisector
cuts an angle into two equal angles.
Vertical Angles
A pair of opposite congruent angles formed by intersecting lines
Congruent Angles
Angles that have the same measure
Congruent Figures
Have the same size and shape
If ABC is congruent to DEF then angle A is congruent to..
Angle D
If ABC is congruent to DEF then BC is congruent to...
EF
If ABC is congruent to DEF then BA is congruent to...
ED
If ABC is congruent to DEF; BC = x+2; DE = 2x-7; and EF = 27, find x
25
If ABC is congruent to DEF; AB = x+2; DE = 2x-7; and EF = 27, find x
9
If ABC is congruent to DEF; AC = 2x+2; DF = 3x+14; and EF = 2x+7, find x
-12
If ABC is congruent to DEF; CA = 3x+3; DE = 2x-7; and FD = 27, find x
8
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