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Q: Show that the lines x y 5 0 x 4y 15 0 x y 0 4x y 25 0 are the sides of an isosceles trapezoid and find its area?
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How do you prove a trapezoid is isoceles?

To prove a trapezoid is isosceles, you need to show that the legs (the non-parallel sides) are congruent. This can be done by demonstrating that the base angles opposite these sides are congruent. You can use the triangle congruence postulates or the properties of parallel lines and transversals to establish the equality of these angles.


How do you prove that a quadrilateral is a right trapezoid?

To prove that a quadrilateral is a right trapezoid, you need to show that it has one pair of parallel sides and one pair of right angles. This can be done by using the properties of parallel lines and perpendicular lines.


Can you show me a right trapezoid?

____________ / | /_____________ | Crappy drawing, I know, but a right trapezoid has two right angles(right side of picture), and two supplimentary non-right angles(left side of drawing). This is still a trapezoid because in order to be a trapezoid, there must be one and only one pair of parallel lines, and four sides. That's it, thus this is a possible trapezoid.


Which condition is sufficient to show that a quadrilateral is a trapezoid?

That it has 4 sides and a pair of parallel sides of different lengths


Can you show me what a trapezoid looks like?

A trapezoid... looks like a triangle that's had the top sliced off. The top and bottom sides are parallel, and the sides slope inwards from the bottom to the top.


What are 3 ways to show a trapezoid is a rhombus?

It's sides angles and shape or form


How do you show parallel and perpendicular lines on shapes?

Put 2 lines on the perpendicular sides and put 1 line for the parallel sides


How are equilateral isosceles and scalene different?

Equilateral triangles have all sides and angles equal, isosceles triangles have two sides and angles equal, and scalene triangles have no sides or angles equal. In other words, equilateral triangles are a special case of isosceles triangles, and isosceles triangles are a special case of scalene triangles.


How do you show that both pairs of opposite sides are parallel for a parallelo gram?

You can use any of several properties of parallelograms: Show that the lines are parallel, show that opposite pairs of lines have the same length, or show that opposite pairs of angles have the same measure.


Can you show me a picture of a isosceles triangle?

yes!


Can you show me a drawing of a isosceles triangle?

yes: Δ


Show you a quadrilateral with one set parallel lines and one right angle?

I don't think this is possible. there is not a quadrilateral with these qualities. If it is a quadrilateral, it will automatically have parallel lines, but there is not one that has both. The closest one would be the trapezoid, with a set of parallel lines, but no right angle. The square and rectangle have two sets of parallel lines and 4 right angles.