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Chapter 4-Congruent triangles Flashcards

Congruent triangles test

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554252803triangle3-sided polygon0
554252804scalene triangleno congruent sides1
554252805isosceles triangleat least 2 congruent sides2
554252806equilateral triangle3 congruent sides3
554252807acute triangle3 acute angles4
554252808right triangle1 right angle5
554252809obtuse triangle1 obtuse angle6
554252810equiangular triangle3 congruent angles7
554252811interior angleswhen the triangle is extended, the _________ angles are the original angles that are in the interior of the triangle8
554252812exterior angleswhen the triangle is extended, the __________ angles are the angles that form linear pairs with the ___________ angles9
554252813triangle sum theoremthe sum of the measures of the interior angles of a triangle is 180 degrees10
554252814exterior angle theoremthe measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 nonadjacent interior angles11
554252815corollary to a theorema statement that can be proved easily using the theorem12
554252816corollary to the triangle sum theoremthe acute angles of a right triangle are complementary13
554252817congruent figuresall the parts of one figure are congruent to the corresponding parts of the other figure14
554252818third angles theoremif 2 angles of 1 triangle are congruent to 2 angles of another triangle, then the third angles are also congruent15
554252819side-side-side (SSS) congruence postulateif 3 sides of 1 triangle are congruent to 3 sides of a second triangles, then the 2 triangles are congruent16
554252820side-angle-side (SAS) congruence postulateif 2 sides and the included angle of 1 triangle are congruent to 2 sides and the included angle of a second triangle, then the 2 triangles are congruent17
554252821legs of a right trianglethe sides adjacent to the right angle in a right triangle18
554252822hypotenusethe side opposite the right angle in a right triangle19
554252823hypotenuse-leg (HL) congruence theoremif the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the 2 triangles are congruent20
554252824flow proofa proof that uses arrows to show the flow of a logical argument21
554252825angle-side-angle (ASA) congruence postulateif 2 angles and the included side of 1 triangle are congruent to 2 angles and the included side of a second triangle, then the 2 triangles are congruent22
554252826angle-angle-side (AAS) congruence postulateif 2 angles and a non-included side of one triangle are congruent to 2 angles and the corresponding non-included side of a second triangle, then the 2 triangles are congruent23
554252827legsthe 2 congruent sides in an isosceles triangle24
554252828vertex anglethe angle formed by the legs of an isosceles triangle25
554252829basethe third side of an isosceles triangle26
554252830base anglesthe 2 angles adjacent to the base27
554252831base angles theoremif 2 sides of a triangle are congruent, then the angles opposite them are congruent28
554252832converse of base angles theoremif two angles of a triangle are congruent, then the sides opposite them are congruent29
554252833corollary to the base angles theoremif a triangle is equilateral, then it is equiangular30
554252834corollary to the converse of base angles theoremif a triangle is equiangular, then it is equilateral31
554252835transformationan operation that moves or changes a geometric figure in some way to produce a new figure32
554252836imagethe figure that is created after a figure is transformed33
554252837translationan operation that moves every point of a figure the same distance in the same direction34
554252838reflectionan operation that uses a line of ________ to create a mirror image of the original figure35
554252839rotationan operation that turns a figure about a fixed point, called the center of rotation36
554252840congruence transformationan operation that changes the position of a figure without changing its size or shape37
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