![]() ![]() M ∠ ABC = 120°, because the base angles of an isosceles trapezoid are equal.īD = 8, because diagonals of an isosceles trapezoid are equal.įigure 5 A trapezoid with its two bases given and the median to be computed. In trapezoid ABCD (Figure 3) with bases AB and CD , E the midpoint of AD , and F the midpoint of BC , by Theorem 55:Įxample 1: In Figure 4, find m ∠ ABC and find BD.įigure 4 An isosceles trapezoid with a specified angle and a specified diagonal. Browse 5,600+ trapezoid stock photos and images available, or search for trapezoid shape or trapezoid pattern to find more great stock photos and pictures. (2) Its length equals half the sum of the base lengths. ![]() Theorem 55: The median of any trapezoid has two properties: (1) It is parallel to both bases. Recall that the median of a trapezoid is a segment that joins the midpoints of the nonparallel sides. By Theorem 53, m ∠ DAB = m ∠ CBA, and m ∠ ADC = m ∠ BCD.įigure 2 An isosceles trapezoid with its diagonals.In isosceles trapezoid ABCD (Figure 2) with bases AB and CD : Theorem 54: Diagonals of an isosceles trapezoid are equal. Theorem 53: Base angles of an isosceles trapezoid are equal. In Figure 1, ∠ A and ∠ B or ∠ C and ∠ D are base angles of trapezoid ABCD. Two special properties of an isosceles trapezoid can be proven. If the legs of a trapezoid are equal, it is called an isosceles trapezoid. Figure is an isosceles trapezoid.Ī pair of angles that share the same base are called base angles of the trapezoid. ![]() Recall that a trapezoid is a quadrilateral with only one pair of opposite sides parallel and that the parallel sides are called bases and the nonparallel sides are called legs.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |