properties of isosceles trapezoid__________
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The properties of the isosceles trapezoid are as follows:
- The properties of trapezoid apply by definition (parallel bases).
- The legs are congruent by definition.
- The lower base angles are congruent.
- The upper base angles are congruent.
- Any lower base angle is supplementary to any upper base angle.
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Answer:
Property 1: Only one pair of sides are parallel. AB ∥ CD
Property 2: Non-parallel sides (legs) are equal in measure. AD = BC
Property 3: The diagonals are equal in measure. AC = BD
Property 4: The base angles are equal in measure. ∠D = ∠C
Property 5: The opposite angles are supplementary. ∠D +∠B = 1800 and ∠C +∠A = 1800
Property 6: The segment which joins the midpoints of the parallel sides is perpendicular to them.
Property 7: An isosceles trapezium can be inscribed in a circle.Property .
8: The diagonals form a pair of congruent triangles with equal sides as the base and the other pair – similar triangles.
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