A. Therefore, rhombus has all the properties of parallelogram. Answer: Never 21. And because the diagonals of a rhombus are perpendicular, triangle HBO is a right triangle. A. Sides of a rhombus. One pair of opposite sides of a trapezoid are congruent. Congenital heart disease can be corrected with surgery. never Which phrase does not describe a mineral? Rhombus is a parallelogram with all sides equal to each other. Use the Angle Sum Theorem. The diagonals of a rhombus are perpendicular. sometimes Continuation of above proof: A rhombus is an orthodiagonal quadrilateral with two pairs of parallel sides (that is, an orthodiagonal quadrilateral that is also a parallelogram). x = 2y - 1. always. Diagonals of a square are perpendicular. Also, all sides are congruent. The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular. False. Each of the internal triangles will be figured the same, so I'll just describe one. Updated 90 days ago|10/27/2020 9:37:01 AM. Here’s the solution: All the sides of a rhombus are congruent, so HO equals x + 2. That is, each diagonal cuts the other into two equal parts, and the angle where they cross is always 90 degrees. Score 1 User: The diagonals of a trapezoid are equal.. sometimes n Solve the following system of equations. Existing from birth: Diagonals of a rhombus are equal and perpendicular to each other. Anyway, hopefully you found that useful. You finish with the Pythagorean Theorem: Combine like … All sides of a rhombus are congruent, and its opposite sides are parallel. Fill in the blanks in the following sentences. Angles of a rhombus. always. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals. We have Back to Basic Ideas page. The diagonals bisect the vertex angles of a rhombus. The sides BC and DC. So, m ∠ Y V Z = 90 ° and Δ Y V Z is a right triangle. In geometry, the term "diagonal" refers to a segment connecting two vertices that does not form a polygon's side. True. Answer and Explanation: The diagonals of the parallelogram are not necessarily perpendicular. A quadrilateral is a closed two-dimensional figure containing four sides with all of its interior angles having a total of 360 degrees. Let ABCD be a rhombus and AC and BD be the diagonals of ABCD. Answer :always 24. We have step-by-step solutions for your textbooks written by Bartleby experts! Draw the diagonals. User: The diagonals of a rhombus are perpendicular.sometimes never always Weegy: The diagonals of a rhombus are always perpendicular. Hence, the triangle BCD is isosceles. Updated 90 days ago|10/27/2020 9:10:44 AM. For the following figure- The sides of a Rhombus are equal. Whether a special quadrilateral can exist A trapezoid always has two congruent sides. The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral. innate The diagonals of a rectangle are perpendicular to each other. Share what’s outside your window and all around you. Answer:Sometimes 22. In rhombus , is the point at which the diagonals intersect. The diagonals of a rhombus are perpendicular bisectors, which means they form right angles at their point of intersection. Earn a little too. The rhombus is a parallelogram but the four sides are equal and the diagonals are perpendicular. TRUE. Answer: Let two adjacent sides of the parallelogram be the vectors A and B (as shown in the figure). Easy. Since the rhombus ABCD is a parallelogram, its diagonals bisect each other. the theme. m ∠ Y Z V + m ∠ Z V Y + m ∠ V Y Z = 180 ° So by the same argument, that side's equal to that side, so the two diagonals of any rhombus are perpendicular to each other and they bisect each other. A proof of this property of the diagonals. Strategy. The common cold is considered a This holds because the diagonals are perpendicular chords of a circle. Using the Pythagorean theorem to find the hypotenuse of one of the right triangles will give you the length of … False. User: An essay ... Weegy: 2x + y = 3 User: Solve the following system of equations. Weegy: -7 + N = 20 User: y - 12 = -10 Weegy: x + 5 = 2x User: y - 12 = -10 Weegy: x + 5 = 2x User: y + 1.05 = ... Weegy: The phrase which do not describe a mineral is organic solid. Conjecture and use technology to convince yourself it is true but the four sides with all sides congruent! 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