- Slide 1
Honors Geometry Special Quadrilaterals Slide 2 True/False Every square is a rhombus. Slide 3 TRUE four congruent sides Slide 4 True/False If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. Slide 5 False diagonals dont have to be congruent or bisect each other. Slide 6 True/False The diagonals of a rectangle bisect its angles. Slide 7 FALSE (draw an EXTREME rectangle!) Slide 8 True/False A kite with all consecutive angles congruent must be a square. Slide 9 TRUE Slide 10 True/False Diagonals of trapezoids are congruent. Slide 11 FALSE not always! Slide 12 True/False A parallelogram with congruent diagonals must be a rectangle. Slide 13 TRUE Slide 14 True/False Some rhombuses are rectangles. Slide 15 True some rhombuses also have right angles Slide 16 True/False The diagonals of a rhombus are congruent. Slide 17 False not always! Slide 18 True/False If the diagonals of a parallelogram are perpendicular, it must be a rhombus. Slide 19 TRUE Slide 20 True/False Diagonals of a parallelogram bisect the angles. Slide 21 FALSE Slide 22 True/False A quadrilateral that has diagonals that bisect and are perpendicular must be a square. Slide 23 FALSE (could be rhombus right angles not guaranteed) Slide 24 Sometimes/Always/Never A kite with congruent diagonals is a square. Slide 25 FALSE could be, but diagonals dont have to bisect each other. Slide 26 Give the most descriptive name: A parallelogram with a right angle must be what kind of shape? Slide 27 Rectangle Slide 28 Give the most descriptive name: A rectangle with perpendicular diagonals must be what kind of shape? Slide 29 SQUARE Slide 30 Give the most descriptive name A rhombus with consecutive angles congruent must be a: Slide 31 SQUARE Slide 32 Give the most descriptive name: A parallelogram with diagonals that bisect its angles must be a: Slide 33 Rhombus Slide 34 Proving that a Quad is a Rectangle If a parallelogram contains at least one right angle, then it is a rectangle. If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. If all four angles of a quadrilateral are right angles, then it is a rectangle. Slide 35 Proving that a Quad is a Kite If two disjoint pairs of consecutive sides of a quadrilateral are congruent, then it is a kite. If one of the diagonals of a quadrilateral is the perpendicular bisector of the other diagonal, then it is a kite. Slide 36 Proving that a Quad is a Rhombus If a parallelogram contains a pair of consecutive sides that are congruent, then it is a rhombus. If either diagonal of a parallelogram bisects two angles of the parallelogram, then it is a rhombus. If the diagonals of a quadrilateral are perpendicular bisectors of each other, then the quadrilateral is a rhombus. Slide 37 Proving that a Quad is a Square If a quadrilateral is both a rectangle and a rhombus, then it is a square. Slide 38 Proving that a Trapezoid is Isosceles If the non-parallel sides of a trapezoid are congruent, then it is isosceles. If the lower or upper base angles of a trapezoid are congruent, then it is isosceles. If the diagonals of a trapezoid are congruent, then it is isosceles.
