## Friday, August 21, 2020

### GEOMETRY FUNDAMENTALS - UNIT 11 Essays - Geometry, Quadrilaterals

GEOMETRY FUNDAMENTALS - UNIT 11 Survey Harmonious TRIANGLES AND QUADRILATERALS Height of a triangleA section from a vertex opposite to the inverse side.Congruent trianglesTwo triangles in which the six pieces of one are equivalent to the relating six pieces of the other.Included angleThe point framed by different sides of a triangle. The point is between, and shaped by, the two sides.Included sideThe side of a triangle that is the normal side of two edges. The side is between the two angles.Isosceles trapezoidA trapezoid with legs of the equivalent length.Isosceles triangleA triangle with in any event different sides equal.Median of a trapezoidThe section interfacing the midpoint of the legs.Median of a triangleA fragment from a vertex to the midpoint of the inverse side.ParallelogramA quadrilateral with the two sets of inverse sides parallel.RectangleA parallelogram with four right angles.RhombusA parallelogram with all sides equal.SquareA square shape with all sides equal.TrapezoidA quadrilateral with precisely one sets of sides equal. P11SSS:If three sides of one triangle are equivalent to three sides of another triangle, at that point the triangles are congruent.P12SAS:If different sides and the included edge of one triangle are equivalent to different sides and the included edge of another triangle, at that point the triangles are congruent.P13ASA:If two edges and the included side of one triangle are equivalent to two edges and the included side of another triangle, at that point the triangles are congruent.P14HL:If the hypotenuse and a leg of one right triangle are equivalent to the hypotenuse and leg of another correct triangle, at that point the triangles are harmonious. Hypothesis 4-14, included among the accompanying hypotheses, is the hypothesis that permits triangle hypothesizes and hypotheses to be applied to parallelograms. Be certain you can demonstrate every hypothesis checked on. 4-1If two points and a not-included side of one triangle are equivalent to the relating portions of another triangle, at that point the triangles are consistent. (AAS)4-2:If two legs of one right triangle are equivalent to two legs of another correct triangle, at that point the triangles are consistent. (LL)4-3:If the hypotenuse and an intense edge of one right triangle are equivalent to the hypotenuse and an intense edge of another correct triangle, at that point the triangles are consistent. (HA)4-4:If a leg and an intense point of one right triangle are equivalent to a leg and an intense edge of another correct triangle, at that point the triangles are harmonious. (LA)4-5:The elevation to the base of an isosceles triangle cuts up the base.4-6:The base edges of isosceles triangles are equal.4-7:The height to the base of an isosceles triangle separates the vertex point of the triangle.4-8:If two edges of a triangle are equivalent, at that point the sides inverse them are equal.4-9:I f different sides of a triangle are not equivalent, at that point the edge inverse the more extended side is the bigger angle.4-10:If two edges of a triangle are not equivalent, at that point the side inverse the bigger edge is the more drawn out side.4-11:The whole of the lengths of any different sides of a triangle is more noteworthy than the length of the third side.4-12:If different sides of one triangle are equivalent to different sides of another triangle however the included edge of the first is bigger than the included edge of the second, at that point the third side of the primary triangle is longer than the third side of the second triangle.4-13:If different sides of one triangle are equivalent to different sides of another triangle yet the third side of the main triangle is longer than the third side of the subsequent triangle, at that point the included edge of the first is bigger than the included edge of the second.MORE THEOREMS4-14:If a corner to corner is attracted a parallelogram, at that point two harmonious triangles are formed.Corollary 1:Opposite edges of a parallelogram are equalCorollary 2:Opposite sides of a parallelogram are equal.Corollary 3:Two equal lines are equidistant separated throughout.4-15:The diagonals of a parallelogram cut up each other.4-16:If different sides of a quadrilateral are equivalent and equal, at that point the quadrilateral is a parallelogram.4-17:If the two sets of inverse sides of a quadrilateral are equivalent, at that point the quadrilateral is a parallelogram.4-18:If the diagonals of a quadrilateral divide one another, at that point the quadrilateral is a parallelogram.4-19:If the midpoints of different sides of a triangle are associated, the portion is corresponding to the third side and measures a large portion of the length of the third side4-20:The diagonals of a square shape are equal.4-21:The diagonals of a