Triangle
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A number formed by 3 segments joining three noncollinear points.

You are watching: Triangle with at least two sides congruent

Equilateral TriangleHas 3 congruent sides
Isosceles TriangleA triangle v at least two congruent sides.
Scalene TriangleHas no congruent sides
Acute TriangleHas three acute angles
Estclairdrake.netngular TriangleHas three congruent angles
Obtuse TriangleHas one obtuse angle
Right TriangleA triangle with one appropriate angle
Interior AnglesThe side opposite the appropriate angle in a right triangle
Exterior AnglesWhen the political parties of a triangle space extended, the angles that are surrounding to the interior angles space exterior angles
Corresponding AnglesWhen two figures are congruent, the angles that room in matching positions space congruent.
Corresponding SidesWhen two numbers are congruent, the political parties that space in matching positions space congruent
CorollaryA declare that can be proved easily by making use of the theorem
Congruent FiguresTwo geometric numbers that have exactly the very same size and also shape and all bag of corresponding angles and corresponding sides are congruent
LegsSides the a appropriate triangle or the congruent sides of an isosceles triangle
HypotenuseThe side opposite the right angle in a right triangle
Triangle amount TheoremThe sum of the procedures of the interior angles that a triangle is 180 degrees.
Exterior angle Theoremmeasure of an exterior edge of a triangle is equal to the sum of the steps of the 2 nonadjacent internal angles.
Corollary come the Triangle sum TheoremThe acute angles of a best triangle are complementary.
When 2 geometric figures are congruent,there is a correspondence
Third angle TheoremIf two angles of one triangle room congruent to 2 angles of one more triangle, then the third angles are additionally congruent.
Side-Side (SSS) Congruence PostulateIf three sides the one triangle room congruent to 3 sides that a 2nd triangle, climate the two triangles are congruent.
Side-Angle-Side (SAS) Congruence PostulateIf two sides and the contained angle that one triangle are congruent to two sides and also the included angle that a 2nd triangle, then the two triangles space congruent.
Polygon Congruence PostulateTwo polygons are congruent if and also only if there is a correspondence between their sides and also angle together that: each pair of corresponding angles is congruent; each pair of corresponding sides is congruent
Angle-Side-Angle (ASA) Congurence PostulateIf 2 angles and also the had side in one triangle are congruent to two angles and the contained side in one more triangle, climate the two triangles space congruent
Angle-Angle-Side (AAS) Congruence PostulateIf 2 angles and a nonincluded next of one triangle room congruent come the corresponding angles and nonincluded side of an additional triangle, climate the triangles space congruent.
Hypotenuse-Leg (HL) Congruence TheoremIf the hypotenuse and also a leg of a ideal triangle space congruent to the hypotenuse and a leg of another triangle, climate the two triangles are congruent.
CPCTCCorresponding parts of congruent triangles space congruent
Isosceles Triangle TheoremIf 2 sides that a triangle space congruent, climate the angles opposite those sides room congruent.
Converse that the Isosceles Triangle TheoremIf 2 angles of a triangle space congruent, climate the political parties opposit those angles are congruent.
Legs of an isosceles triangleThe two congruent sides
Vertex AngleThe angle opposite the basic of one isosceles triangle
Base AnglesThe angles whose vertices space the endopoints the the basic of an isosceles triangle
CorollaryAn added theorem that deserve to be easily obtained from the original theorem
The measure up of every equilateral triangle is___________60 degrees
The bisector that the vertex angle of one isosceles triangle is the_____________.perpendicular bisector that the base
A diagonal line of a parallel divides the parallelogram right into ____________.two congruent triangles
Opposite political parties of a parallelogram are _____________.congruent
Opposite angles of a parallelogram room _____________.congruent
Consecutive angle of a parallelogram are _____________.supplementary
The diagonals that a parallel _____________.bisect each other
A rhombus is a _____________.parallelogram
A rectangle is a _____________.parallelogram
The diagonals the a rhombus are_____________.perpendicular
The diagonals the a rectangle room _____________.congruent
The diagonals that a kite are _____________.perpendicular
A square is a _____________ and _____________.rectangle; rhombus
The diagonals that a square room _____________ and are _____________ of each othercongurent; the perpendicular bisector
If two pairs that opposite sides of a quadrilateral space congruent, then the square is a _____________.parallelogram
If one pair that opposite political parties of a quadrilateral room _________ and also ______ climate the quadrilateral is a parallelogramparallel; congruent
If the diagonals the a square bisect each other, climate the quadrilateral is a _____________.parallelogram
If one edge of a parallel is a appropriate angle, then the parallel is a _____________.rectangle
Housebuilder TheoremIf the diagonals the a parallelogram are congruent, climate the parallel is a rectangle
If one pare of nearby sides of a parallelogram are congruent, then the parallel is a _____________.rhombus
If the diagonals the a parallel bisect the angle of the parallelogram, climate the parallel is a _____________.

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rhombus
If the diagonals that a parallelogram space perpendicular, then the parallelogram is a _____________.rhombus
Triangle Midsegment TheoremA midsegment that a triangle is parallel to a side of the triangle and also has a measure equal to half of the measure up of the side
Triangle Inequality TheoremThe amount of the lengths of any two political parties of a triangle is higher than the length of the third side
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