SocialTwist Tell-a-Friend

Ask a Question? Get an Answer!


Question: Which statements help you conclude that the quadrilateral shown is a rhombus?
I. It has four right angles.
II. The measures of all its sides are equal.
III. It has two pairs of parallel, opposite sides.
IV. It has one pair of parallel opposite sides.



A ) II and III only
B ) III and IVonly
C ) I and II only
D ) IV and I

Steps to derive

1 The rhombus is a quadrilateral containing two pairs of opposite, parallel sides and the measures of all four sides are equal.



Hence the right answer is Option A

Click Here To Go Back


Few Other Questions -

  • Is ΔABC ≅ ΔPQR?..
  • Is ΔABC ≅ ΔPQR?..
  • Which of the following can be used to prove that ΔABC ≅ ΔADC?..
  • Is ΔABD ≅ ΔACD?..
  • Which of the following can be applied directly to prove that ΔABC ≅ ΔDEC ..
  • Which of the following can be applied directly to prove that ΔADB ≅ ΔCBD..
  • ABCD is a square, and F is the midpoint of line segment EB. Find the number of triangles t..
  • Is ΔABC ≅ ΔEDC?..
  • Supply the reason to complete the proof below:StatementsReasons1. ∠A @ ∠X and &a..
  • Supply the reason to complete the proof below:StatementsReasons1. XQ‾ || TR&OverBa..
  • Is ΔABC ≅ ΔPQR?..
  • Supply the reason to complete the proof where T is the midpoint of PR‾...
  • StatementsReasons1. ÐAEB @ ÐBDC1.Given2. AE‾ @ BD‾2.Give..
  • Supply the reason to complete the proof below: Given: ∠N ≅ ∠P, MO‾ ..
  • Find all the values of θ in the interval [0, 3π2] that solve cos3 θsin..
  • Find the solution to the trigonometric equation 16sin2 θ + 8sin θ - 8 = 0 in t..
  • Find all the solutions to the equation 16cos2 x - 16 cos x + 4 = 0 in the interval [0..
  • Write the factored form of the expression 4sec2 θ - 4sec θ + tan2θ...
  • Find all solutions to the equation 36sin2 x = 9 in the interval [0, π)...
  • Find all the solutions to the equation 6sin2 t + 35 sin t = 49...
  • Solve the equation 2cos t = 3sin2t...
  • Write the expression cos2 x + 12sec x + 36 in factored form...
  • Solve equation, cos x = 0.39...
  • Find all the solutions to the trigonometric equation, sin2 x = 0.9...
  • Find the general solution of the trigonometric equation, sin2 θ - 3 sin θ = 0...
  • Solve the equation 3cos2 x + sin x = 2...
  • Find the general solution of the trigonometric equation, sin x = 0.54...
  • Factor the expression 6cot2 x - 6tan x + cos x · cosec x...
  • How many solutions are there in the interval [0, 2π] for the equation 3sin2 x + sin x =..
  • Factor the expression cos3 θ - sin3 θ...
  • Find the general solution of the equation cos3 θ - sin3 θ = 0...
  • Find the solution of the exponential equation 50(15)p2 = 2...
  • Find the exact solution of the equation 2(40-x14) = 80...
  • Find the exact solution of the equation 6 - log10 (x + 8) = 8...
  • Find the solution of the equation e4x+e- 4x2 = 4...
  • Solve the equation log x5 = 6...
  • Solve the equation log (x - 9) + log (x + 12) = 2 log 3...
  • Find the possible solutions to the equation ln (x - 6) + ln (x + 7) = ln 14...
  • Find the domain of the function f (x) = ln (xx + 1)...
  • Find the domain of the function f (x) = ln [x (x2 + 1)]...
  • Find the range of the function f (x) = 2 ln (x)...
  • Find the domain of the function f (x) = ln x2...
  • Solve the equation 10001 + 17e5x = 500...
  • Solve the equation log (3x - 2) + log (x - 1) = 2 log x...
  • Solve: 2 log x - 6 log 3 > 0..
  • Solve the inequality 2 log (x + 4) - 2 log 8 < 0...
  • Solve the equation 23x - 49 = 8...
  • Find the orders of magnitude by which a quantity of 1 kilogram differs from 1 gram...
  • Find the orders of magnitude by which a quantity of one dollar differs from one penny...
  • Find the orders of magnitude that a horse weighing 400 kg differs from a mouse weighing 40..
  • Find the ratio of the severity of an earthquake in India (Gujarat) with R1 = 7.9 and in Gr..
  • What does Tm represent in the equation of Newton's law of cooling, T(t) = Tm + (T0 - Tm)e-..
  • Which of the following models a linear regression?..
  • Which of the following models a natural logarithmic regression?..
  • Which of the following models represents the exponential regression?..
  • Find the equation of the given graph in standard form...
  • Use mathematical induction to prove that 2 + 4 + 6 ------ + 2n = n2 + n ∀ positive ..
  • Use mathematical induction to prove that 8 + 10 + 12 + ------ + (2n + 6) = n2 + 7n &forall..
  • Use mathematical induction to prove that 6 + 10 + 14 + ------ + (4n + 2) = n(2n + 4) &fora..
  • Use mathematical induction to prove that 1 + 5 + 9 + ------ + (4n - 3) = n(2n - 1) &forall..
  • Use mathematical induction to prove that the statement 1 + 2 + 22 + ----- + 2n - 1 = 2n - ..
  • Use mathematical induction to prove that 14 + 18 + 22 ------ + (4n + 10) = 2n(n + 6) &fora..
  • Use mathematical induction to prove that 12 + 32 + 52 + ---- + (2n - 1)2 = n(2n -&nbs..
  • Use mathematical induction to prove that 1 + 2 + 3 + ---- + n = n(n + 1)2 &foral..
  • Use mathematical induction to prove that 1 + 3 + 5 + ---- + (2n - 1) = n2 ∀ positiv..
  • Use mathematical induction to prove that 12 + 22 + 32 + ---- + n2 = n(n + 1)(2n..
  • Use mathematical induction to prove that 13 + 23 + 33 + ------ + n3 = n2(n +&nbs..
  • Prove that 32n + 7 is divisible by 8 for all positive integers of n...
  • By the method of induction, prove that 10n + 3 · 4n + 2 + 5 is divisible by 9 for all..
  • Write the statements P1, Pk and Pk + 1 for Pn: 1 + 2 + - - - - - - - + n = n(n +&nbs..
  • Write the statements P1, Pk and Pk + 1 for Pn: 2 + 3 + 4 + 6 + 8 + - - - - + 2n = n2 + n ..
  • Write the statements P1, Pk and Pk + 1 for Pn: 13 + 23 + 33 + - - - - - + n3 = n2(n ..
  • 1 + 2 + 3 + - - - - - - + 500 = ________...
  • 1 + 8 + 27 + - - - - - + 3375 = _________...
  • 1 + 2 + 4 + 8 + -- - - - - - - + 234 = ______...
  • State an explicit rule for the nth term of the recursively defined sequence, an = 3an - 1,..
  • Write the statements P1, Pk and Pk + 1 for the statement Pn: 11 ⋅ 2 + 12&nb..
  • Write the statements P1, Pk and Pk + 1 for the statement Pn: 11 ⋅ 3 + 13&nb..
  • Use parallelogram ABCD to check which one of the following is true...
  • Use parallelogram ABCD to check which one of the following is true...
  • Use parallelogram OPQR to check which one of the following is true...
  • ABCD is a quadrilateral with vertices A(0, 0), B(-a, 0), C(-a, a) and D(0, a). The midpoi..
  • In a scalene triangle ABC, if D and E are the midpoints of the sides AB and AC respectivel..
  • (-9,0), (9,10) and (8,-10) are the vertices of ___________...
  • (-2, 5), (3, - 4) and (7,10) are the vertices of _____________...
  • (7, 7), (6, 4) and (4, 6) are the vertices of ________________...
  • (0, 0), (4, 0) and (2, 23) are the vertices of ___________...
  • The line segment joining the midpoints of two sides of any triangle is _________...
  • A quadrilateral with vertices (0, 0), (10, 0), (16, 8) and (6, 8) forms a ________...
  • A (-2,5), B (3, -4) and C (7,10) are the vertices of a right triangle with BC as the hypot..
  • A quadrilateral PQRS with vertices (2,-2), (8,4),(5,7) and (-1,1) forms a ______________...
  • The points A (2,4), B (2,6) and C (2 + 3, 5) are the vertices of an equilateral triangle A..
  • If ABCD is a Rhombus with vertices A(0,0), B(5,0), C(8,4) and D(3,4), then the sum of the ..
  • Which one of the following can be the vertices of a square?..
  • If A(0,0), B(5, 0), C(8, 4) and D(3, 4) are the vertices of a rhombus, then angle between ..
  • The end points of a diameter AB of a circle are (-1, -3) and (5, 5). P(-2, 4) is any othe..
  • A (- 4, 3), B (0, 9), C (-3, 11) are the three consecutive vertices of a parallelogram ABC..
  • The base end points of an isosceles triangle are (-2, 4) and (6, 0). Which of the followin..
  • ABCD is a trapezoid with AB‾ parallel to DC‾. P and Q are the midpoints o..
  • ABCD is a trapezoid with AB‾ parallel to DC‾. P and Q are the midpoints o..