<< Previous: Properties of Rhombuses, Rectangles, and Squares
Embedded Files
Trapezoids and Kites
Trapezoids and Kites
G.SRT.5 Use congruence... criteria... to solve problems and to prove relationships in geometric figures.
Goals for this section:
Goals for this section:
Students should be able to understand what a trapezoid is and its various properties.
Trapezoids
Trapezoids
Trapezoid
Trapezoid
Trapezoids have one pair of parallel sides called "bases". The other sides are called "legs".
Isosceles Trapezoid
Isosceles Trapezoid
This is a special trapezoid because the legs are congruent, or have the same length.
Isosceles Trapezoid Properties
Isosceles Trapezoid Properties
Each pair of base angles are congruent
Each pair of base angles are congruent
So ∠A ≅ ∠B and ∠C ≅ ∠D.
The diagonals are congruent
The diagonals are congruent
So AC = BD.
Trapezoid Midsegment Theorem
Trapezoid Midsegment Theorem
Recall midsegment. A midsegment connects the midpoint of two opposite sides.
Recall midsegment. A midsegment connects the midpoint of two opposite sides.
- The midsegment of a trapezoid is parallel to the bases.
- The length of the midsegment is half the sum of the length of the bases.
Kites
Kites
A kite has two pairs of consecutive sides that are congruent. No opposites sides are congruent.
Kite Diagonal Property
Kite Diagonal Property
The diagonals of a kite form a 90 degree angle. Notice too that the vertical segment bisects the horizontal segment.
External Resources
External Resources
Keywords: trapezoid, kite, perpendicular bisector, parallel lines, midsegment, isosceles, diagonals
Report abuse