Basic Quadrilaterals
A four-sided polygon is called this.
What is a quadrilateral?
This quadrilateral is both a rectangle and a rhombus.
What is a square?
The area formula for a rectangle is this.
What is length × width?
In a parallelogram, one angle is (2x+10) ∘ (2x + 10)∘(2x+10)∘ and the adjacent angle is (3x−20)∘(3x - 20)∘(3x−20)∘. Find x
What is 38?
In a parallelogram, consecutive interior angles always add up to this.
What is 180 degrees?
This quadrilateral has exactly one pair of parallel sides.
What is a trapezoid?
This shape has one pair of opposite sides parallel and the other pair not.
What is a trapezoid?
The area of a parallelogram equals base times this.
What is height?
In a parallelogram, opposite angles are labeled (4x+5) ∘ (4x + 5)∘ (4x+5)∘ and (2x+45)∘(2x + 45)∘ (2x+45)∘. Find x
What is 20?
In a parallelogram, if one angle is 75°, the opposite angle measures this.
What is 75 degrees?
This quadrilateral has two pairs of parallel sides.
What is a parallelogram?
A trapezoid with congruent legs is called this.
What is an isosceles trapezoid?
The area of a trapezoid is one-half times the sum of the bases times this.
What is height?
In a trapezoid, consecutive interior angles along a leg are (x+30)∘(x + 30)∘(x+30)∘ and (2x)∘(2x)∘(2x)∘. Find x.
What is 50?
In an isosceles trapezoid, the base angles are always this.
What is congruent?
A quadrilateral with four equal sides and four right angles.
What is a square?
This quadrilateral has two pairs of adjacent equal sides.
What is a kite?
The area of a rhombus can be found using one-half the product of these.
What are the diagonals?
A quadrilateral has angles (x+20)∘(x + 20)^\circ(x+20)∘, (2x)∘(2x)∘(2x)∘, (x+40)∘(x + 40)∘(x+40)∘, and (3x−10)∘(3x - 10)∘(3x−10)∘. Find x
What is 310/7
In an isosceles trapezoid, if one base angle is 110°, the adjacent angle along the leg is this.
What is 70 degrees?
This shape has four equal sides but does not require right angles.
What is a rhombus?
All angles are right angles, but sides are not necessarily equal.
What is a rectangle?
The perimeter of any quadrilateral is the sum of these.
What are the lengths of all four sides?
In a parallelogram, one angle is (5x−15)∘(5x - 15)∘(5x−15)∘. The opposite angle is (3x+45)∘(3x + 45)∘(3x+45)∘. Find x and the measure of each angle.
What is x=30x = 30x=30, with angles 135° and 45°?
In a parallelogram, one angle is (3x+20)∘(3x + 20)∘(3x+20)∘ and the consecutive angle is (5x−40)∘(5x - 40)∘(5x−40)∘. Find the value of x and both angle measures.
What is x=25, with angles 95° and 85°?