The diagonal of a parallelogram divides it into two congruent triangles.

Q: Given quadrilateral ABCD in a parallelogram. Find the mLD.

A: Sum of interior angles of any quadrilateral is 360. For a parallelogram opposite interior angles are…

Q: A two-column proof can be used to demonstrate that a diagonal splits a parallelogram into two…

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Q: Draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up

A: Given,

Q: Does a rectangle have point symmetry?

A: Rectangle have two type of symmetry , point symmetry and line symmetry

Q: A parallelogram must be a rectangle when its A diagonals are perpendicular B diagonals are congruent…

A: Given: A parallelogram  must be a rectangle when its diagonal A) diagonal are perpendicular…

Q: What is the perimeter of the parallelogram?

A: Please refer the attached image for complete solution.

Q: A lot is in the form of a parallelogram whose shorter diagonal is perpendicular to its 50 meters…

A: We have to determine the area and perimeter of the lot.

Q: Find the area of a quadrilateral with vertices A( - 1 . - 1), 5(9, 4), C(20, 6).and D(10, 1).

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Q: A parallelogram has exactly two paris of perpendicular sides True or false ?

A: The rectangle has exactly two pairs of perpendicular sides.

Q: If the diagonals of a parallelogram and congruent, what can you conclude regarding the…

A: Geometry: Since the diagonals of a parallelogram bisect each other, BE and DE are congruent and AE…

Q: If the diagonals of a parallelogram are equal in lengths and its sides are also equal in lengths,…

A: Let PQRS be a parallelogram. In ΔPQR and ΔSRQ, PQ = SR (Opposite sides of a parallelogram are…

Q: The diagonals of DABCD (not shown) are perpendicular. If one diagonal has a length of 10 and the…

A: Find perimeter of the parallelogram.

Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: 5. Find the length of the shorter diagonal in a rhombus with an area of 30 m² if the lengths of the…

A: Given: Area =30m2 length of diagonal differ by 4

Q: Show that the opposite angles of a parallelogram are equal.

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Q: Which formula would help determine if the legs of an isosceles trapezoid are congruent

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Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 9 and…

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Q: Being as specific possible, name the type of parallelogram as that a) has congruent diagonals. b)…

A: There are 3 types of parallelogram such as rhombus, rectangle, and square.

Q: If a parallelogram is a rectangle, then its diagonals are a) perpendicular. b) congruent. c) none of…

A: diagonals are ?

Q: What is the area of this parallelogram?

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Q: if a triangle has sides of x,2x,and 3x-1, what is the perimeter?

A: Here is the solution.

Q: When you know that two consecutive sides of a parallelogram are congruent,you can prove that the…

A: properties of parallelogram  (1) opposite sides are equal  (2) opposites angles are equal  (3)…

Q: A parallelogram with congruent diagonals is a rhombus. O True O False

A: Given Statement : A paralleogram with congruent diagonals is a rhombus. To find: Whether statement…

Q: A parallelogram with congruent diagonals is a rectangle. O True O False

A: To explain the given statement

Q: In quadrilateral ABCD, ZA-(3x-5)°, ZB=(2x-15)°, (2x+35)° and ZD=(x+25)°. What value of x will make…

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Q: Given a cyclic quadrilateral whose sides are 4 cm, 5 cm, 8 cm, and 11 cm. Its area is

A:

Q: The diagonals of a parallelograms must have which characteristic? A. Congruent B. Parallel C.…

A: Properties of Parallelogram Related to Sides and Angles The four important properties of a…

Q: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus.

A: Given- The diagonals of  a parallelogram are prependicular . To show- That the parallelogram is…

Q: Find the length of each side of the rhombus rounded to the nearest tenth if the diagonals are 5 and…

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Q: * This is a 2-page de Directions: If each quadrilateral below is a rectangle 1. 2. VW = WX- 19 YW-…

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Q: Can the following quadrilateral be proven to be a parallelogram based on the given​ information?

A: We will prove the given quadrilateral is a parallelogram or not in the following step.

Q: Calculate the perimeter of the triangle formed by the following set of vertices (2,2) (-1,-3) (3,1)

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Q: For which quadrilaterals do the diagonals bisect each other, have the same length, and intersect at…

A: The geometrical figure that has four sides is called the quadrilateral. The rectangle, square,…

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (1,…

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Q: If a quadnilateral is a parallelogram, then opposite angles are complementary.

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Q: The area of a rhombus is 215 sq. in. and one diagonal is 18 in. Find the other diagonal.

A: Refer to the question we need to find the length of diagonal if one of the diagonal's length is 18…

Q: determine whether the quadrilateral is a parallelogram using the indicated method.

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Q: If both a parallelogram and triangle have the same base and altitude, then the area of the…

A: Given: If both a parallelogram and triangle have the same base and altitude, then the area of the…

Q: Find the area of the parallelogram with vertices A(−3, 0), B(−1, 4), C(6, 3), and D(4, −1).

A: The area of the parallelogram with the vertices is given by,

Q: How many vertices does a hexahedron have ?

A: A hexahedron, as the name suggests, is a six faced polyhedron. A cube is an example of a hexahedron

Q: The area of a triangle with vertices ( — 2, 0), (9, 0), and (3. 6) is____?

A: Given: Vertices of triangle are ( — 2, 0), (9, 0), and (3, 6)  To determine: Area of a triangle.

Q: Find the area of a rhombus with side 17 and longer diagonal 30

A: The rhombus is a quadrilateral whose opposite sides are equal and opposite angles are equal. All the…

Q: If a student claims that all figures with four congruent sides are squares. would he be correct?

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Q: Prove: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

A: Statement: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle.

Q: Which quadrilaterals always have diagonals that are congruent

A: Which quadrilaterals always have diagonals that are congruent

Q: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular.

A: Show that the diagonals of a rhombus (parallelogram with sides of equal length) are perpendicular

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: A parallelogram with congruent diagonals is a______?

A: A parallelogram has the following properties: Opposite sides are parallel and congruent.Opposite…

Q: Find the area of the parallelogram with vertices  A(−3, 5), B(−1, 8), C(3, 6), and D(1, 3).

A: We first have to find the AB and BC vectors. A(−3, 5), B(−1, 8), C(3, 6)AB=(-1 -(-3) , 8-5)…

Q: Draw an inscribed quadrilateral ABCD and its diagonals intersecting at E. Name two pairs of similar…

A: Clearly from the below daigram we can see thatthe two pairs of…