# How do you prove a shape is a trapezoid?

## How do you prove a shape is a trapezoid?

To prove that it is a trapezoid, remember that the definition of a trapezoid is a quadrilateral with exactly one pair of parallel sides. Therefore, to prove it is a trapezoid you must verify that one pair of sides is parallel. From algebra, remember that two lines are parallel if they have the same slope.

Does a trapezoid add up to 360?

Find An Angle In A Trapezoid : Example Question #4 All quadrilaterals’ interior angles sum to 360°. In isosceles trapezoids, the two top angles are equal to each other.

What are 3 attributes of a trapezoid?

What are the Three Attributes of a Trapezoid?

• Its base angles and diagonals are equal if the trapezoid is isosceles.
• The intersection point of the diagonals is collinear (in the same line) to the midpoints of the two opposite sides.
• Opposite sides of an isosceles trapezoid are congruent.

### How to find the missing length of a trapezoid?

Solution : Let ‘a’ be the length of the parallel side given and ‘b’ be the length of the missing parallel side. Given : Area of a trapezium is 34 square cm. Then, (1/2) (a + b) ⋅ h = 34. Distance between parallel side (h) = 4 cm and a = 5. Then, (1/2) (5 + b) ⋅ 4 = 34. (5 + b) ⋅ 2 = 34.

How do you find the missing length of a trapezoid?

Find the lengths of all sides of the trapezoid.

• Add the lengths of all the sides of the trapezoid to determine the value of the perimeter of the trapezoid.
• Once the value of the perimeter of the trapezoid is obtained,we mention the unit that has to be placed with it.
• How do you solve a trapezoid?

– Write the formula: A = ½ (b 1 +b 2 )h – Fill in the variables: A = ½ (6 cm +12 cm) (4 cm) – Simplify the terms: A = ½ (18 cm) (4 cm) – Multiply the numbers together: A = 36 cm 2.

## How do you calculate the height of a trapezoid?

Fill in the variables: (3 cm) 2+B 2 = (5 cm) 2

• Simplify the squares: 9 cm+B 2 = 25 cm
• Subtract 9 cm from each side: B 2 = 16 cm
• Take the square root of each side: B = 4 cm