True or False: Squares have diagonals that are congruent

Q: LU, then U is Upper triangular , which means all the entries .below the main diagonal are zero if we…

A: In an Upper triangular matrix ,All the entries above the main diagonal are zero. But it is given…

Q: What is the Cartesian product of A = {1, 2} and B = {a, b}

A:

Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: All parallelogram are squares  •True  •False

A: To Determine:  Is the statement is True or False All parallelogram are squares

Q: Can 2 diagonals in cube ever be mapped on to a single diagonal?  No, why?

A:

Q: LU, then U is Upper triangular , which means all the entries .above the main diagonal are zero if we…

A: Given :                  A = L U then U is an upper triangular, then all entries in above the…

Q: If possible, use at least two different strategies to determine the number of diagonals of an n-gon.…

A: Let us find the strategies to find the number of diagonals of a n-gon in the next step.

Q: Prove that A 12 is diagonalizable. -.

A: step 2 complete solution

Q: Prove analytically that the lengths of the diagonals of a rectangle are equal.

A:

Q: Explain in word what are the possible consistent and inconsistent system for 3 planes?

A: To explain: the consistent and inconsistent system for 3 planes.

Q: Find the dimension for M3,2

A:

Q: Find the coordinates of the intersection of the diagonal of [] DEFG

A:

Q: Find the dot product. (-23, 4)·(13, –5) О -316 О -318 О-315 О -319 О -317

A: We need to evaluate the following dot product -23,4·13,-5 Formula used : x1,y1·x2,y2 = x1·x2+y1·y2

Q: What is the difference between a union and a Cartesian product?

A:

Q: R ABAC - AQSR

A: Given,    1.                     2.

Q: Prove that the diagonals of a rectangle are equal.

A: Let assume PQRS is the rectangle with                              PR and…

Q: The cross product is anti-commutative. This means that axb=-bxa. Show this is true for a=(2,3,4), b…

A: Given  a→=2,3,4 and b→=-5,-4,-3. We have to show that  a→×b→ = -b→×a→.

Q: Find MZCBD if MZDBA= 4x + 8, mZCBD = 7x-3, and mLABC = 60° %3D

A: m∠DBA=4x+8m∠CBD=7x-3m∠ABC=60°

Q: Prove that the diagonals of a rectangle are of equal length. [Hint: Take the vertices of the…

A: To prove that diagonals of a rectangle are if equal length.  Consider a rectangle which has one…

Q: What quadrilaterals always have diagonals that bisect each other

A: Given: What quadrilaterals always have diagonals that bisect each other

Q: use Row opartioms Protic 5. 2 A= 2-1

A:

Q: Find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5, 2), (5, 7,…

A: We have to find the area of the parallelogram formed by the points (-1, 2, 3), (10, 10, 0), (4, 5,…

Q: Prove that the sum of the squares of the lengths of the sides of a parallelogram is equal to the sum…

A: Let the sides of the parallelogram be 'l' with longest and 'b' with shortest parallel lines and…

Q: Find the area of the triangle whose vertices are (1, 1), (2, 2), and (4, 3).

A: The vertices are (x1, y1) = (1, 1), (x2, y2) = (2, 2), and (x3, y3) = (4, 3) The formula to find the…

Q: Find mZU. U 4 V 4. m2U %3D

A: Applying here trigometric ratio

Q: s?

A: *Answer:

Q: What is the Cartesian product of A = {1, 2} and B = {a,b,c}?

A: Given A = 1, 2   and   B = a, b, c

Q: Find the area of the parallelogram. P1 (1, 2, 0), P2 (-3, 3, 4), P3 (0, -3, 3)

A: Given points are, P11,2,0P2-3,3,4P30,-3,3

Q: A parallelogram has both pairs of opposite sides equal. True or false?

A: Since we know that a parallelogram has a pairs of opposite sides equal and parallel

Q: Prove that ABCD is a square if A(1,3), B(2,0), C(5,1) and D(4,4).

A: Consider the graph shown below:

Q: If s is neative, its square must be

A: Given s is negative  s < 0

Q: Quadrilateral ABCD ~ quadrilateral HJKL. If mZA mZJ = 128°, and mZD = 55°, 98°, find mZK. H B. K (a)…

A: It is known that quadrilateral ABCD is similar to quadrilateral HJKL. Also, m∠A=55°m∠J=128°m∠D=98°

Q: Prove analytically that if the diagonals of a parallelogram rectangle. are equal, then the…

A: Given:-  Diagonals of parallelogram are equal.To proof  Parallelogram is a Rectangle.

Q: a certain figure has 252 diagonals. how many sides does it have

A: To find: The number of sides if the diagonals are 252. Formula used: The number of diagonals having…

Q: 16. Which quadrilaterals always have diagonals that bisect each other?

A: The explanation is as shown below.

Q: Theorem. The diagonals of a rectangle bisect each other and have the same length.

A:

Q: Prove that a parallelo-gram is a rectangle if and only if its diagonals are equal in length. (This…

A: Consider a parallelogram ABCD having diagonals AC and BD such that, AC=BD.

Q: True or False: Rectangles have diagonals that are congruent.

A:

Q: Find the area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`=…

A: area of a parallelogram in 3-space when the adjacent sides are A` =2i`+4j`-3k` and B`= i`-2k`

Q: Is a square always a rhombus

A: Squares and rhombus

Q: Find the area of the parallelogram whose vertices are (0,0), (7,2), (8, 5), and (1,3).

A:

Q: For any cyclic quadrilateral, the product of the diagonals equals the sum of the products of the…

A: Here we have to determine the name of the theorem. The given theorem is: For any cyclic…

Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: 1 -2 A = |1 2 li 1 [2 1 1 3

A: Given A=21-2121113

Q: Prove that if ABCD is a parallelogram, then its diagonals bisect each other.

A: Let us consider a paralellogram ABCD which have diagonals AC And BD and intersect at point E

Q: Use Elimiretion Methal 3x =38-4y 9x= 122-13y %3D %3D |

A:

Q: If the diagonals of a rectangle are perpendicular, then the rectangle is a square.

A: Consider the given information as, If the diagonal of a rectangle are perpendicular, then the…

Q: Let a = (7, 5) and b = (-4, 6). Compute the dot product.

A:

Q: Show that squares are the only rect-angles with perpendicular diagonals.

A: Consider u and v as the sides of the rectangle.The diagonals are perpendicular.Consider the…

Q: * If A is arthogonal square matiix, then Row CA)= Column (A) False? True

A: