Fortunately, we know so much about the sides, as we are dealing with a rhombus, where all the sides are equal. We will use triangle congruence to show that the angles are equal, and rely on the Side-Side-Side postulate because we know all the sides of a rhombus are equal This question wants us to prove using vectors that the diagonals of a rhombus are perpendicular. So let's start by drawing too. Diagonals. So this is our first diagonal, and we'll call this a plus B and then are other diagonal Well, right, Right here. And this one is a minus B. So now what were interested in is the dot product of these two
The lengths of the diagonals of a rhombus are 60 cm and 80 cm …
Find an answer to your question the diagonals of a rhombus are _____. A. perpendicular B. sometimes equal C. parallel D. never congruent Answer choices are A- all four sides of a rhombus are congruent B- Diagonals of a rhombus are perpendicular C-Diagonals of a rhombus bisect each other D-Opposite sides of a rhombus are Solution For Show that the diagonals of a rhombus are perpendicular. Solution For Show that the diagonals of a rhombus are perpendicular. Solution For Show that the diagonals of a rhombus are perpendicular. World's only instant tutoring platform. Become a tutor Partnerships About us Student login Tutor
FINDING PERIMETER OF RHOMBUS USING DIAGONALS
Q. Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is rhombus. Q. Question 3 Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length. How many pairs of perpendicular sides does a rhombus have? A rhombus has no perpendicular sides but its diagonals are perpendicular to each other and meet at right angles In the above figure, you can see a rhombus ABCD, where AB, BC, CD and AD are the sides of a rhombus and AC and BD are the diagonals of a rhombus. Properties of Opposite angles of a rhombus are congruent (the same size and measure.) Properties of the diagonals of a rhombus: The intersection of the diagonals of a rhombus form 90 degree (right) angles. This means that they are perpendicular. The diagonals of a rhombus bisect each other. This means that they cut each other in half Proof is below. Explanation: Rhombus is a parallelogram with all sides equal to each other. Therefore, rhombus has all the properties of parallelogram. In particular, Decide if the following statement is always, sometimes or never true: The diagonals of a rhombus are perpendicular. The diagonals of a trapezium are perpendicular. Course: High school geometry > Unit 3. Lesson 6: Theorems concerning quadrilateral properties. Proof: Opposite sides of a parallelogram. Proof: Diagonals of a parallelogram. Proof: Opposite angles of a parallelogram. Proof: The diagonals of a kite are perpendicular. Proof: Rhombus area. Prove parallelogram properties Prove that the diagonals of a rhombus are perpendicular bisectors of each other. Advertisements. Solution Show Solution. Let OABC be a rhombus, whose diagonals OB and AC intersect at D. Suppose O is the origin. Let the position vector of A and C be \[\vec{a}\] and \[\vec{c}\] respectively