8.1-8.4 Quadrilaterals

false, it joins two NON-consecutive vertices.

T/F: A diagonal in a polygon is a line segment that joins two consecutive vertices.

true, diagonals in a rhombus are perpendicular to each other.

T/F: A diagonal in a rhombus is at a 90 degree angle to the other diagonal in a rhombus.

true, the diagonals in a square are congruent.

T/F: A diagonal in a square is 10 feet long. Therefore, the length of the other diagonal is 10 feet.

false, a parallelogram only has four congruent angles when it's also a rectangle

T/F: A parallelogram always has four congruent angles

false, a parallelogram has two pairs of opposite sides parallel to each other.

T/F: A parallelogram has all four sides parallel to each other.

false, only when a parallelogram is equilateral

T/F: A parallelogram is always a rhombus

false, because not all parallelograms are regular quadrilaterals

T/F: A parallelogram is always a square

false, a quadrilateral only has diagonals that bisect each other when it's also a paralellogram

T/F: A quadrilateral always has diagonals that bisect each other

false, the quadrilateral could be a square, but only because it is first a rectangle.

T/F: A quadrilateral has diagonals that are congruent. The quadrilateral must be a square.

false, a triangle has three sides while a quadrilateral has four

T/F: A quadrilateral is sometimes a triangle

true, because diagonals in a rectangle are congruent

T/F: A rectangle has one diagonal that is 5 feet long. This means the other diagonal must be 5 feet long.

false, a rectangle is also a square when it is equilateral

T/F: A rectangle is also a square when it is equiangular.

false, because a rectangle always has opposite sides congruent

T/F: A rectangle is sometimes a parallelogram

false, because a rectangle always has four sides

T/F: A rectangle is sometimes a quadrilateral

true, but only when a rhombus is also a square

T/F: A rectangle is sometimes a rhombus

true, a square is both equiangular and equilateral.

T/F: A regular quadrilateral is a square.

true, because a rhombus always has four sides

T/F: A rhombus is always a quadrilateral

false, only when the rectangle is also a square

T/F: A rhombus is always a rectangle

false, only when the rhombus is equiangular.

T/F: A rhombus is always a square

false, a rhombus is a type of quadrilateral.

T/F: A rhombus is just a funny word made up by math teachers to get kids to say things that sound ridiculous.

true, a square has all the properties of a rectangle, rhombus, and parallelogram

T/F: A square is also a rectangle, rhombus, and parallelogram

true, because its opposite angles are congruent and its opposite sides are congruent

T/F: A square is always a parallelogram

false, because a square always has four sides

T/F: A square is never a quadrilateral

false, a square is always an equiangular rhombus.

T/F: A square is sometimes a rhombus

false, the length of the other diagonal is 20 feet.

T/F: Half of a diagonal in a square is 10 feet long. Therefore, the length of the other diagonal is 10 feet.

false, it could be a square, but it must be a rhombus.

T/F: If all four sides of a parallelogram are congruent, it must be a square

false, there are only four interior angles in any quadrilateral.

T/F: If four interior angles of a rhombus add up to 270 degrees, the fifth interior angle is 90 degrees.

true, because every interior angle of a square is 90 degrees.

T/F: If one interior angle of a square is 2x degrees, and another is 3y degrees, x = 45 and y = 30

false, the diagonal of the square is four feet times root two.

T/F: If one side of a square is four feet, the diagonal of the square is four feet.

true, because the interior angle sum of a hexagon is 720 degrees.

T/F: If the measure of one interior angle in a regular polygon is 120 degrees, the polygon has 6 sides (hexagon)

true, the interior angles of any convex quadrilateral add up to 360 degrees.

T/F: If three interior angles of a parallelogram add up to 210 degrees, the fourth interior angle is 150 degrees.

true, because opposite angles in a parallelogram are congruent.

T/F: One angle in a parallelogram is 100 degrees. Its opposite angle is 5x degrees. Therefore, x = 20.

true, because all sides in a rhombus are congruent.

T/F: One side of a rhombus is 7x sides. Another side of a rhombus is 10y sides. If a third side is 70 units, x = 10 and y = 7.

true, because it's a rectangle, and rectangles are paralellograms

T/F: The desks in Mrs. Manderson's classroom are real-world examples of parallelograms.

true, the exterior angles of any convex polygon add up to 360 degrees.

T/F: The exterior angles of a convex quadrilateral add up to 360 degrees

false, the interior angles of any convex quadrilateral add up to 360 degrees

T/F: The interior angles of a convex quadrilateral add up to 180 degrees

false, it is 1440 degrees.

T/F: The sum of interior angle measures in a regular decagon is 1800 degrees.

false, because the interior angles of a hexagon add up to 720 degrees.

T/F: The sum of the interior angles of a regular polygon is 900 degrees. The polygon is a hexagon.

false, because we don't know if all the sides of the rectangle are congruent.

T/F: Three sides of a rectangle are 27 feet long when added together. The fourth side is 3y feet long. Therefore, it must be the case that y = 3.

true, because the missing side of the rectangle must be 9 feet long.

T/F: Three sides of a rectangle are 27 feet long when added together. The third side is 3y feet long. The perimeter of the rectangle is 36 feet. Therefore, it must be the case that y = 3.

false, only squares and rhombuses always have diagonals that are perpendicular bisectors.

T/F: Two types of quadrilaterals ALWAYS have diagonals that are perpendicular bisectors. They are rectangles and rhombuses.

false, diagonals in a rhombus bisect its interior angles, meaning that they'll be congruent.

T/F: When an interior angle in a rhombus is intersected by a diagonal, the resulting two angles are supplementary.

true, the formula to find the sum of the interior angles for any convex polygon is 180(n-2)

T/F: the formula to find the sum of the interior angles of a convex quadrilateral is 180(n-2)