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Geometry Ch 4 Fitch FMS
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Terms in this set (32)
4-1 Naming Polygons
Pick a starting vertex, then go clockwise or counter-clockwise, and list each vertex in order
4-1 Congruent Polygons
Same shape, same size. Have congruent corresponding parts (matching sides and angles).
4-1 Third Angles Theorem
If 2 angles of a triangle are congruent to 2 angles of another triangle, then the 3rd angles are congruent
4-2 Side-Side-Side (SSS) Congruence Postulate
If 3 sides of one triangle are congruent to the corresponding sides of another, then the 2 triangles are congruent
4-2 Included Angle
An angle formed by 2 adjacent sides of a triangle or polygon
4-2 Adjacent Sides
Any two sides of a polygon that share a vertex
4-2 Side-Angle-Side (SAS) Congruence Postulate
If 2 sides and the included angle of one triangle are congruent to the corresponding sides and the included angle of the other, then the 2 triangles are congruent
4-6 What can AAA be used to prove?
Similarity only
4-2 Included Side
The common (shared) side of 2 consecutive angles
4-3 Angle-Side-Angle (ASA) Congruence Postulate
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another, then the 2 triangles are congruent
4-3 Angle-Angle-Side (AAS) Congruence Postulate
If 2 angles and a non-included side of one triangle are congruent to 2 angles and the corresponding non-included side of another, then the 2 triangles are congruent
4-4 CP CT C
Corresponding Parts of Congruent Triangles are Congruent
4-5 Scalene Triangle
No congruent sides
4-5 Isosceles Triangle
(At least, ≥) 2 congruent sides
4-5 Equilateral Triangle
All 3 sides are congruent. Results in 3 angles being congruent. Each angle measures 60 degrees
4-5 Legs of Isosceles Triangle
The 2 congruent sides
4-5 Base of Isosceles Triangle
The side that is not congruent
4-5 Base Angles of Isosceles Triangle
The 2 angles along the base. They "share" the base.
4-5 Vertex Angle of Isosceles Triangle
Between the 2 congruent legs. Opposite the base.
4-5 Isosceles Triangle Theorem
If 2 sides of a triangle are congruent, then the angles opposite them are congruent
4-5 Angle Bisector of Vertex Angle of an Isosceles Triangle
is also the perpendicular bisector of the base
4-5 Equilateral
All sides are congruent
4-5 Equiangular
All angles are congruent
4-5 Acute Triangle
All 3 angles are acute
4-5 Obtuse Triangle
1 obtuse angle. The other 2 must be acute.
4-6 Right Triangle
1 right angle. The other 2 must be acute AND complementary.
4-6 Hypotenuse
The side opposite (across from) the right angle. The longest side.
4-6 Legs of Right Triangle
The 2 sides sharing the right angle
4-5 Corollary
The obvious result extended from a theorem. Not unique or important enough to be its own theorem.
4-6 SSA(HL) Congruence
If the hypotenuse and a leg of one right triangle are congruent to the same in another, then the 2 triangles are congruent.
4-6 Which letter combinations DO work?
SSS, SSA(HL), SAS, AAS, ASA
4-6 Which letter combinations DO NOT work?
SSA(NEI), AAA
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