Property Patrol
This quadrilateral has exactly one pair of parallel sides.
What is a Trapezoid?
The diagonals of a parallelogram always do this to each other.
What is Bisect?
The sum of the interior angles of any convex quadrilateral.
What is 360 degrees?
A square is ________ a rectangle.
What is Always?
If opposite sides of a parallelogram have lengths 3x and 18, then x equals this.
What is 6?
A parallelogram with four congruent sides.
What is a Rhombus?
This is the only parallelogram whose diagonals are necessarily congruent but not necessarily perpendicular.
What is a Rectangle?
In parallelogram ABCD, if angle A is 50^circ , this is the measure of angle B.
What is 130^circ ?
A trapezoid is ________ a parallelogram.
What is Never?
This is the perimeter of a Rhombus with a side length of 13.
What is 52? (13*4)
A quadrilateral where opposite angles are congruent and consecutive angles are supplementary.
What is a Parallelogram?
In a rhombus, the diagonals act as these for the opposite angles.
What are Angle Bisectors?
In a generic trapezoid, the two angles between the parallel sides (consecutive interior angles) sum to this.
What is 180^circ ?
A rhombus is ________ a square.
What is Sometimes (only when it has right angles)?
A trapezoid has bases of 14 and 20. The length of its midsegment (or median) is this.
What is 17? (The average of the bases: (14+20)/2 )
This quadrilateral has two pairs of distinct congruent adjacent sides, but opposite sides are not congruent.
What is a Kite?
The diagonals of this non-parallelogram are always perpendicular to each other.
What is a Kite?
If one angle of a rhombus is 60^circ , the triangle formed by a diagonal and two sides is this type of triangle.
What is equilateral?
The diagonals of a rectangle are ________ perpendicular.
What is Sometimes (only when it is a square)?
A Kite has two consecutive sides of length 4. If the perimeter is 22, the length of the other two sides is this.
What is 7? 22-4-4=14;14/2=7
In Isosceles Trapezoid EFGH, the opposite angles are 4x+20 and 6x-10 . Find the value of x .
What is 17?
This is the most specific name for a parallelogram that has diagonals that are both congruent and perpendicular.
What is a Square?
If the diagonals of a trapezoid are congruent, the trapezoid must be this specific type.
What is Isosceles?
In an isosceles trapezoid, if one base angle is 2x and the other base angle on the same base is 60^circ , then x equals this.
What is 30?
A parallelogram with congruent diagonals is ________ a rectangle.
What is Always?
A rectangle has a diagonal of 13 and a width of 5. This is the length of the other side (the length).
What is 12? Using the Pythagorean theorem.
5^2+b^2=13^2