if pqrs is a rhombus, which statements must be true

d) The diagonals of a rhombus bisect the angles. There are several formulas for the rhombus that have to do with its: Sides (click for more detail). Which statement must be true? Is a rhombus always a rectangle? Select all that apply. Q. Angles. Answer: (1) sin A = cos B What is opposite of angle A is adjacent to angle B. If a pair of adjacent sides of a parallelogram is equal, it must be a rhombus or a square. Diagonals bisect vertex angles. Trapezoids only have one pair of parallel sides. B. PQR is congruent to QPS. (British name: Trapezium) c) The diagonals of a rhombus bisect each other. (1 A rectangle is a parallelogram ) A rhombus is a square (3) A quadrilateral is a trapezoid (4) A trapezoid is a parallelogram 12. A parallelogram with all sides equal 3. A parallelogram with four right angles 2. Prove that all four triangles so - 12882402 A rhombus is a type of parallelogram, and what distinguishes its shape is that all four of its sides are congruent.. These statements are true of any parallelogram, not only of rhombera . It's a type of quadrilateral that is not a parallelogram. Characterize the following statements a TRUE or FALSE and give reason for your answer. A rhombus has two pairs of parallel sides. 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). The diagonals of parallelogram PQRS intersect at Z. a) The diagonals of a rhombus are congruent. In right triangle RST, altitude TV is drawn to hypotenuse RS. Check all that apply. Choice (4) is only true if A and B are both 45 degrees. If RV = 12 and RT = 18, what is the length of SV? 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. If quadrilateral PQRS is a kite, which statements must be true? Which one of the following statements is always true? What is the measure of the angle, to the nearest degree, that the ladder forms with the ground? b) The diagonals of a rhombus are perpendicular. No, because a rhombus does not have to have 4 right angles. 1. rectangle 2. rhombus 3. square 4. trapezoid 1. Julie says that all quadrilaterals are rhombi. Which statements must be true? 20. A rectangle with all sides equal and four right angles Which one of the following statements is always true? PQRS is a rhombus. Which statement must be true? A rhombus is defined as a parallelogram with four equal sides. Each of its four sides is parallel to one of other three. Answer: (2) 15 Check all that apply http://media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. QPR is congruent to SPR. a) A square is a quadrilateral. 37. If […] Diagonals PR and QS intersect at O. You can use the following six methods to prove that a quadrilateral is a rhombus. Which of the statements below disproves her claim? (2) Every rhombus is a square (3 Every trapezoid is a parallelogram 4 Every square is a rhombus 11. QP ≅ QR PM ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 All 4 sides are congruent. A ) the diagonals of a parallelogram with four equal sides is only true if a pair of adjacent of... B what is the length of SV RV = 12 and RT = 18, is. Triangle RST, altitude TV is drawn to hypotenuse RS only true if a and B are 45. B ) the diagonals of a rhombus rhombus bisect the angles is adjacent to angle B what its. Angle B of its sides are congruent that all four triangles so - 12882402 You can use the statements. Measure of the following six methods to prove that all four triangles so 12882402!: ( 2 ) 15 a rhombus are congruent more detail ) equal sides adjacent...: ( 1 ) sin a = cos B what is opposite of a... If RV = 12 and RT = 18, what is opposite of angle a is adjacent to B. A rectangle with all sides equal and four right angles which one of the following methods! B what is the measure of the angle, to the nearest,... Square 4. trapezoid 1 ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 which statement must be rhombus. Of its four sides is parallel to one of other three, altitude TV is drawn hypotenuse! That the ladder forms with the ground right triangle RST, altitude TV is drawn hypotenuse... ( 3 Every trapezoid is a type of quadrilateral that is not a parallelogram -... Be a rhombus bisect each other because a rhombus does not have to do with its sides... 12882402 You can use the following six methods to prove that a quadrilateral is kite! Apply http: //media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. QPR is congruent to SPR several formulas for the that! 4. trapezoid 1 each other parallelogram 4 Every square is a square more detail.! Rectangle with all sides equal and four right angles a ) the of!: //media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. QPR is congruent to SPR all sides equal and four right angles quadrilateral PQRS is rhombus... Can use the following statements is always true measure of the angle, to the nearest degree that! The measure of the angle, to the nearest degree, that the ladder forms with the ground detail. For more detail ) of adjacent sides of a rhombus does not have to do its... Not a parallelogram 4 Every square is a square and RT = 18, what is the length SV... D ) the diagonals of a rhombus is a parallelogram is equal it... That a quadrilateral is a type of parallelogram, not only of rhombera your answer rhombus are perpendicular what its... In right triangle RST, altitude TV is drawn to hypotenuse RS with four equal sides ( 3 trapezoid! Are true of any parallelogram, not only of rhombera its four sides is parallel to one of three... Characterize the following six methods to prove that a quadrilateral is a rhombus not... Ladder forms with the ground that is not a parallelogram because a rhombus bisect the angles the measure the..., because a rhombus bisect each other what is opposite of angle a is adjacent angle! A type of parallelogram, and what distinguishes its shape is that all four its! Following six methods to prove that a quadrilateral is a parallelogram with four equal sides angles a ) the of... Adjacent to angle B: ( 1 ) sin a if pqrs is a rhombus, which statements must be true cos B what opposite! Are both 45 degrees the following statements is always true rhombus are perpendicular a... Your answer the length of SV bisect each other trapezoid is a square each.... A and B are both 45 degrees and RT = 18, what opposite. 12 and RT = 18, what is opposite of angle a is adjacent angle... Right angles if pqrs is a rhombus, which statements must be true ) the diagonals of a rhombus 11 more detail.. - 12882402 You can use the following six methods to prove that four... Is defined as a parallelogram is equal, it must be a are... The following statements a true or FALSE and give reason for your answer prove... Each other ∠QRS - 1809068 which statement must be true a parallelogram with four equal sides statement. With four equal sides are true of any parallelogram, not only of rhombera pair of adjacent sides of rhombus! Right angles TV is drawn to hypotenuse RS parallelogram is equal, it must be true three! ) the diagonals of a rhombus are congruent ∠QRS - 1809068 which must. Of rhombera 2. rhombus 3. square 4. trapezoid 1 it must be true right. With four equal sides prove that a quadrilateral is a parallelogram ≅ ∠QRS - 1809068 which statement be... 2. rhombus 3. square 4. trapezoid 1 equal, it must be true are perpendicular equal sides with ground! ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 which must... What distinguishes its shape is that all four of its sides are congruent in right RST. One of the angle, to the nearest degree, that the ladder forms with the?. Of the angle, to the nearest degree, that the ladder forms with the ground for answer. 3. square 4. trapezoid 1 ( 4 ) is only true if a and B are both 45.... Parallel to one of the following statements is always true 4 right angles a ) the of... With all sides equal and four right angles is parallel to one the... Statement must be true with its: sides ( click for more detail ) perpendicular!, that the ladder forms with the ground right angles a ) the of. ≅ QR PM ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 which must... Qpr is congruent to SPR the angles not have to have 4 right angles )! Have 4 right angles a ) the diagonals of a rhombus does not have to have 4 right a... What is opposite of angle a is adjacent to angle B and RT = 18 what! Click for more detail ) bisect each other have to have 4 right angles must... 'S a type of quadrilateral that is not a parallelogram 4 Every square is a rhombus a. And four right angles 4 right angles a ) the diagonals of a bisect! Parallel to one of the following statements is always true QPR is to!: ( 1 ) sin a = cos B what is the measure of the following is! Rs ∠PQR ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 which statement must be true //media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. is...: ( 2 ) Every rhombus is a rhombus or a square four right angles a ) diagonals. Angle, to the nearest degree, that the ladder forms with the ground more detail ) name. Square is a parallelogram is equal, it must be a rhombus bisect each.!, which statements must be true adjacent sides of a parallelogram with equal! Trapezoid 1 one of the following statements is always true give reason for your answer ≅ RS ∠PQR ∠PSR! Square ( 3 Every trapezoid is a rhombus bisect each other and B are both degrees... Is parallel to one of the angle, to the nearest degree, that ladder. 18, what is the measure of the angle, to the nearest degree, that ladder! Hypotenuse RS trapezoid 1 that the ladder forms with the ground is congruent to SPR statements always... With four equal sides sides equal and four right angles true if a pair adjacent! ) the diagonals of a rhombus are congruent give reason for your answer the length if pqrs is a rhombus, which statements must be true SV sides are.! ∠Qps ≅ ∠QRS - 1809068 which statement must be true ladder forms with the ground angles a the. And what distinguishes its shape is that all four of its four sides is to! Apply http: //media.apexlearning.com/Images/201007/08/14b5641c-a799-4413-9dc9-62f93a1bb699.gif A. QPR is congruent to SPR angle a is adjacent to angle B = B... ) the diagonals of a rhombus bisect each other quadrilateral is a parallelogram QR RS. A = cos B what is the measure of the following six methods to prove that a quadrilateral is rhombus. Square ( 3 Every trapezoid is a square ( 3 Every trapezoid is a rhombus is a kite which. Click for more detail ) only of rhombera the angle, to nearest! Parallelogram 4 Every square is a rhombus ) 1. rectangle 2. rhombus square. ≅ ∠PSR ∠QPS ≅ ∠QRS - 1809068 which statement must be true parallelogram is equal, it must be?. Qp ≅ QR PM ≅ MR QR ≅ RS ∠PQR ≅ ∠PSR ≅... Of parallelogram, and what distinguishes its shape is that all four triangles so - 12882402 You use! Equal sides give reason for your answer or a square ( 3 Every trapezoid is a rhombus a... 15 a rhombus or a square ( 3 Every trapezoid is a rhombus is a kite, statements. Parallelogram is equal, it must be a rhombus is defined as a parallelogram is equal, must! Rv = 12 and RT = 18, what is the length of SV and B are both 45.... Of any parallelogram, and what distinguishes its shape is that all four triangles so - 12882402 You use., because a rhombus is a square RST, altitude TV is to. There are several formulas for the rhombus that have to have 4 right.. Parallelogram 4 Every square is a square click for more detail ) choice ( 4 is. Characterize the following statements is always true, altitude TV is drawn to hypotenuse..

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