Question

What are the properties of an isosceles trapezium? I

Answer 1

Step-by-step explanation:

trapezium has the following properties:

(a) Opposite sides are parallel.

(b) Two pairs of adjacent angles add up to 180 degrees.

(c) The two non-parallel sides are unequal.

(d) The diagonals intersect.

(e) The line joining the mid points of the non-parallel sides is parallel to the parallel sides and is equal to half the sum of the parallel sides.

(f) A trapezium can be inscribed in a circle

(g) The sum of the four exterior angles is 4 right angles.

(h) The sum of the four interior angles is 4 right angles.

An isosceles trapezium has the following properties:

(a) Two pairs of adjacent angles add up to 180 degrees.

(b) When the two non-parallel sides are equal and two pairs of adjacent angles are equal it is called an isosceles trapezium.

(c) An isosceles trapezium can be inscribed in a circle.

(d) The diagonals of an isosceles trapezium are equal.

(e) The diagonals of an isosceles trapezium form a pair of congruent triangles with the equal sides as the base and the other pair - similar triangles.

(f) The two non-parallel sides are equal.

(g) The line joining the mid points of the non-parallel sides is parallel to the parallel sides and is equal to half the sum of the parallel sides.

(h) The sum of the four exterior angles is 4 right angles.

(i) The sum of the four interior angles is 4 right angles.

(j) By rotating an isosceles trapezium about the vertical axis joining the midpoints of the parallel sides, we get a frustum of a cone.

Answer 2

Answer:

Properties of Isosceles trapezium :

1. Base angles are equal.
2. One pair of sides are equal.
3. One pair of sides are parallel.
4. Diagonal bisect each other in proportion.

I cant think more