Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Technical drawing wikipedia , lookup
Golden ratio wikipedia , lookup
Riemannian connection on a surface wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Multilateration wikipedia , lookup
History of trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Trigonometric functions wikipedia , lookup
Perceived visual angle wikipedia , lookup
trapezoid trapezoid A trapezoid has exactly one pair of parallel sides. right trapezoid A right trapezoid is a trapezoid with two right angles. isosceles trapezoid An isosceles trapezoid is a trapezoid in which the two sides that are not parallel are congruent. isosceles trapezoid An isosceles trapezoid is a trapezoid in which the two sides that are not parallel are congruent. isosceles trapezoid An isosceles trapezoid is a trapezoid in which the two sides that are not parallel are congruent. The two congruent sides are called the legs. The two parallel sides are called the bases. isosceles trapezoid B A C D isosceles trapezoid C B A E D The parallel postulate allows us to draw a segment (CE) through point C that is parallel to AB. isosceles trapezoid C B A E D ABCE is a parallelogram since both pairs of opposite sides are parallel. isosceles trapezoid C B A E D AB is congruent to EC, because opposite sides of a parallelogram are congruent. isosceles trapezoid C B A E D EC is congruent to DC, by the transitive property. isosceles trapezoid C B A E D Angle CED is congruent to angle D, because If , then . isosceles trapezoid C B A E D Angle CED is congruent to angle A, by corresponding angles. isosceles trapezoid C B A E D Angle D is congruent to angle A, by transitive property. isosceles trapezoid B A C D Base angles of an isosceles trapezoid are congruent. isosceles trapezoid B A C D Angle A and angle B are supplementary because interior angles on the same side of a transversal are supplementary. Angle C is supplementary to angle D for same reason. isosceles trapezoid B A C D Angle B is congruent to angle C, because angles supplementary to congruent angles are congruent. isosceles trapezoid B A C D AC and DB are the diagonals. isosceles trapezoid B A C D Triangle ABD is congruent to triangle DCA by SAS. isosceles trapezoid B A C D AC is congruent to DB by CPCTC. isosceles trapezoid B A C D The diagonals of an isosceles trapezoid are congruent. Properties of an isosceles trapezoid B A C D 1. The bases are parallel. 2. The legs are congruent. 3. The lower base angles are congruent. 4. The upper base angles are congruent. 5. The diagonals are congruent. 6. Each lower base angle is supplementary to each upper base angle.