The design of a garden path uses stones pieces  shaped as squares with a side length of 15 in. [Hint: Pythagorean Theorem] What is the length of the diagonal of one square?

Q: Is the following statement always true, sometimes true, or never true? Justify your response. Given…

A: Here we describe the given statement problem.

Q: 4. ABCD is a rectangle. If the diagonals intersect at N and ZANB %3D 104°, find ZBDA and ZBAC.

A: Solving the problem by finding the values of the given angles.   NOTE :: As per our Expert…

Q: In rectangle ABCD, AB = 5 and BC =4. As a square root, find the length of diagonal AC.

A:

Q: a) Are any two quadrilaterals similar? b) Are any two squares similar?

A: Similar figures are figures with same shape but size may not be necessarily same.

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: The sides of a parallelogram, which measure 7 cm and 17 cm, form an angle of 62 degree. How long is…

A: Given : Parallelogram sides = 7 cm , 17 cm  Angel = 65°

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: x + 2y 2x + 2y 7x+8y 5x +9y

A:

Q: In what way does the length of the summit of a Saccheri Quadrilateral compare with the length of its…

A:

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: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: The perimeter of a kite is the sum of all sides of the kite. The area of a kite is: A=12d1d2 Where,…

Q: If A ABC A DEF, what is the length of DF ?

A: Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are…

Q: Can you prove this quadrilateral is a parallelogram? J

A: The solution is given below.

Q: If the diagonals of a parallelogram are congruent then what would be the best and most restrictive…

A: The above question can be solved as below

Q: Classify the quadrilateral In as many ways as posslble. Select all that apply. A quadrilateral…

A: Square is a quadrilateral whose sides are equals and any two sides makes right angle.  So the…

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

A: Here is the solution.

Q: In an isosceles right triangle, if the length of each side is x, then what is the length of the…

A: Given that in an isosceles right triangle, the length of each side is x.

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

A: To explain the given statement

Q: Prove that if a Pythagorean Triangle has even sides, then its perimeter, P, divides its area, A.

A: We have to prove perimeter P divides area A.

Q: What is the perimeter of the parallelogram ABCD?

A: The answer is found in step-2

Q: In rhombus ABCD, with diagonals AC and DB, AD = 10. If the length of diagonal AC is 12, what is the…

A: Using the given information, draw a rhombus and label it. In a rhombus, the diagonals are…

Q: Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the…

A: Introduction: There are some basic methods that are used to prove any mathematical statement. These…

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

A:

Q: The diagonal of a parallelogram divides it into two congruent triangles. True False

A: Given statement is true, The diagonal of a parallelogram divides it into two congruent triangles.…

Q: If the area of a square is 2 in.2, then find the length of the square’s diagonal, d

A:

Q: A factory is to be built on a lot measuring 102 ft by 136 ft. A local building code specifies that a…

A: Let the lawn will be of x feet in width.  so the length of the factory= 136-2x and width=102-2x

Q: Consider the quadrilateral below. Which reason validates the statement: "The diagonals of a…

A: The solution is :

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: According to guidelines we can solve only first question.Upload remaining again.

Q: The converse of the Pythagorean Theorem is used to find the length of the missing side in a…

A: The converse of Pythagorean theorem tells that if the square of longest side is equal to the sum of…

Q: The Pythagorean Theorem states that in any______triangle, the sum of the squares of the lengths of…

A: Use the Statement of the Pythagorean theorem which states

Q: Given: Quadrilateral LIKE is a kite with LI IK and LE KE. a. LE is twice LI. If its perimeter is 21…

A: We have a quadrilateral LIKE in the shape of a kite. LI¯≅IK  and LE¯≅KE It looks like: Part(a) We…

Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals

Q: For Exercises 11 and 12, use Brahmagupta's Formula. 11. For cyclic quadrilateral ABCD, find the area…

A: "Since you have asked for multiple questions we will solve the first question for you. If you want…

Q: In an isosceles right triangle, if the hypotenuse has length b√2 , then each leg has length

A:

Q: A factory is to be built on a lot measuring 270 ft by 360 ft. A local building code specifies that a…

A: The formula for the area of rectangle is length x width.

Q: Show that quadrilateral ABCD is a parallelogram. D (b, c C(a+b A 10, 0) B(a, O

A: Given: Formula used: m=y2-y1x2-x1

Q: In any obtuse triangle, the square of the side oppo- site vne obtuse angle is equal to the sum of…

A:

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

A: Given, Diagonal of parallelogram are perpendicular Length of one diagonal = a = 10 Length of other…

Q: prove that if one side of a triangle is a common measure of the other two sides then the triangle is…

A:

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

A:

Q: n a quadrilateral ABCD, AB=BD, BAD=70 degrees, BCD= 55 degrees and AD is parallel to BC. what is the…

A: This is a problem related to geometry.  Based on the formula and concepts for quadrilateral we will…

Q: If a triangle has sides of length x, x+2, and x-4, what is the perimeter of the triangle in terms of…

A: Given information- We have given the length of sides of a triangle x, x+2, x-4 We have to find the…

Q: To prove that a given quadrilateral is a parallelogram, show that the diagonals bisect each other.…

A:

Q: 5. Given that a quadrilateral on the coordinate plane has consecutive sides that are not congruent…

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: 3) If the diagonals of a quadrilateral are congruent but do not bisect each other, what is the…

A: For, rectangle diagonal are congruent and bisect each other.

Q: 1. What is the length of a diagonal of rectangle EFGH?

A: Given,            A rectangle EFGH is shown below :

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

A:

Q: If a side of a square has length 5 cm, then a diagonal of the square haslength _______ cm.

A: Here given a side of a square has length 5 cm