Answer: (1) sin A = cos B What is opposite of angle A is adjacent to angle B. No, because a rhombus does not have to have 4 right angles. The diagonals of parallelogram PQRS intersect at Z. 1. rectangle 2. rhombus 3. square 4. trapezoid 1. (2) Every rhombus is a square (3 Every trapezoid is a parallelogram 4 Every square is a rhombus 11. Each of its four sides is parallel to one of other three. a) A square is a quadrilateral. Diagonals PR and QS intersect at O. All 4 sides are congruent. A parallelogram with all sides equal 3. Which of the statements below disproves her claim? If quadrilateral PQRS is a kite, which statements must be true? These statements are true of any parallelogram, not only of rhombera . The last three methods in this list require that you first show (or be given) that the quadrilateral in question is a parallelogram: If all sides of a quadrilateral are congruent, then it’s a rhombus (reverse of the definition). 37. Angles. 1) sinA =cosB 2) sinA =tanB 3) sinB =tanA 4) sinB =cosB 5 A 12-foot ladder leans against a building and reaches a window 10 feet above ground. In right triangle RST, altitude TV is drawn to hypotenuse RS. c) The diagonals of a rhombus bisect each other. You can use the following six methods to prove that a quadrilateral is a rhombus. Trapezoids only have one pair of parallel sides. Which statements must be true? A rectangle with all sides equal and four right angles A rhombus is defined as a parallelogram with four equal sides. If RV = 12 and RT = 18, what is the length of SV? It's a type of quadrilateral that is not a parallelogram. a) The diagonals of a rhombus are congruent. Check all that apply http://media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. QPR is congruent to SPR. d) The diagonals of a rhombus bisect the angles. What is the measure of the angle, to the nearest degree, that the ladder forms with the ground? Check all that apply. A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.. Characterize the following statements a TRUE or FALSE and give reason for your answer. Choice (4) is only true if A and B are both 45 degrees. Julie says that all quadrilaterals are rhombi. Select all that apply. A rhombus has two pairs of parallel sides. Is a rhombus always a rectangle? Diagonals bisect vertex angles. Which one of the following statements is always true? Which one of the following statements is always true? B. PQR is congruent to QPS. b) The diagonals of a rhombus are perpendicular. A parallelogram with four right angles 2. Which statement must be true? Q. Prove that all four triangles so - 12882402 PQRS is a rhombus. There are several formulas for the rhombus that have to do with its: Sides (click for more detail). If […] If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square. 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