1. If two even integers are multiplied, then the product is also even. Hypothesis Conclusion quadrilaterals are equiangular.

Q: 4. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line…

A: Cosine law

Q: Which quadrilateral is equiangular and equilateral?

A: We have to find which of the given quadrilateral is equiangular and equilateral.

Q: 34. Prove by the indirect method: "The length of a diagonal of a square is not equal in length to…

A: Prove by contradiction

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.

A: 1) Opposite sides are equal , 2) The diagonals of a rectangle are equal.  Distance formula of point…

Q: Given: BC || AD and AB || CD. Prove: /BCD /BAD. Note: quadrilateralproperties are not pemitted in…

A:

Q: 3. a) Identify each quadrilateral as specifically as possible.

A:

Q: mZR = m2U = 3. Quadrilateral JKLM has mZJ = 90° and ZK = ZM. mZK = mZL = mZM = Determine whether…

A: Please refer the attached image for complete solution. THANKYOU.

Q: If a quadrilateral has diagonals that are perpendicular, then the quadrilateral can always be…

A: To check: The statement is true or false. Given: The statement is "If a quadrilateral has diagonals…

Q: Generally when a diagonal is constructed in a quadrilateral during a proof, two triangles are proven…

A:

Q: Prove that quadrilateral PLUS with the vertices P(2,1), L(6,3), U(5,5), and S(1,3) is a rectangle.…

A:

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: 4. Is it true or false that the red quadrilateral below is a dilation of the blue quadrilateral by a…

A:

Q: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is best described as a…

A: We will use the congruent properties of a triangle to prove the statement.

Q: 5. State the postulate or theorem you can use to prove the pair of triangles congruent.

A: Given,            The pair of triangles are shown below :           To show : State the postulate…

Q: Can you prove that the quadrilateral is a parallelogram based on the given information? Explain. 13.…

A:

Q: A convex quadrilateral has 2 diagonals. A convex pentagon has 5 diagonals. If a convex polygon has…

A: To find the no. Of sides of a convex polygon with 324 sides.

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

A:

Q: Quadrilateral ABCD is congruent to quadrilateral LMNO. Select all statements that are true.

A:

Q: Quadrilateral ABCD is inscribed in circle O, as shown below. If mZA = 80°, mZB = 75°, m2C = (y +…

A:

Q: 1. Can you prove this quadrilateral is a parallelogram? A

A:

Q: djacent side of a re

A: Prove that quadrilateral formed by joining the mid-point of pairs of adjacent side of a rectangle is…

Q: paragraph proof please!

A: Given: Points P, Q, R and S are the mid-points of sides of isosceles trapezium ABCD with AB || CD…

Q: If a quadrilateral has four right angles as well as two diagonals that are congruent, then the…

A:

Q: 16. Which quadrilaterals always have diagonals that bisect each other? O Parallelograms O Rectangles…

A: Which Quadrilaterals have  diagonals bisect each other  find the measure if quadrilateral is a…

Q: congruent. 22 Prove, in paragraph form, that one diagonal of a kite divides it into two congruent…

A:

Q: Write a COORDINATE PROOF to prove each of the following.

A:

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

A: Let ABCD be a parallelogram. Given AC and BD are diagonals of parallelogram in equal length. In…

Q: If 2 of the vertices of an inscribed quadrilateral are on the diameter, will the inscribed always be…

A: If all the vertices of an inscribed quadrilateral are on the diameter, then the diagonals of the…

Q: If two quadrilaterals are equiangular, then they are similar. If two pentagons are equiangular, then…

A: We have to check weather the given statement is True or False.

Q: which represented quadrilateral will be classifeied as strickly a kite?

A: A quadrilateral considered as a kite if it is symmetric about its main diagonal, the two diagonals…

Q: the general quadrilateral ABCD of area 96 m^2., the sum of the lengths of the two opposite sides and…

A: Given: Area of general quadrilateral ABCD is 96 m2. The sum of the length of two opposite sides and…

Q: When parallelograms are rectangles Prove that a parallelogram is a rectangle if and only if its…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: How to prove congruent triangles

A:

Q: n: if a right triangle has one leg of length 1 and a hypotenuse of length 2, then the second leg is…

A: Pythagoras theorem

Q: 1. In quadrilateral ABCD, mLA 80, mZB=2.x, m2C=x and mZD=4x.Find x.

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

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: 21. What are the methods to prove triangles are congruent?

A: Methods to prove triangles are congruent

Q: 2. Find the dimensions of the largest rectangle that can be inscribed in an isosceles triangle if…

A: Given: Rectangle inscribed inside an isosceles triangle. One side of the rectangle lies on the base…

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

A:

Q: A quadrilateral has _____ sides 1 4 -4 -1

A:

Q: Each quadrilateral represents a newly planted garden. The garden represented by quadrilateral EFGH…

A:

Q: Look at the condltlons below. 1. If a quadrilateral has four right angles, then It Is a rectangle.…

A: By the given conditions, if a quadrilateral has 4 right angles, then the quadrilateral is definitely…

Q: 3. A quadrilateral has four sides. If-then form:

A: The given statement is: "A quadrilateral has four sides" An geometric object is defined as…

Q: Prove that if semicircles are constructed on each of the sides of a right triangle, then the area of…

A: Area of semi circle having diameter of a is, Aa=πa222Aa=πa28         ...(1)  Area of semi circle…

Q: If a quadrilateral is a rectangle, then its diagonals have the same length. What is the converse of…

A: If the diagonals of the quadrilateral are equal then it does not mean that the quadrilateral is a…

Q: If a quadrilateral has diagonals that are perpendicular, then the quadrilateral can always be…

A:

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

A: Given,            A rectangle EFGH is shown below :

Q: The vertices of quadrilateral PQRS form a square P(0, 0), Q(4, 3), R(7, -1) and S(3, -4). Use…

A: locating the points on the graph we get

Q: that if P, Q, R and S form a quadrilateral, then it cannot be cyclic.

A: A quadrilateral inscribed in a circle is known as a cyclic quadrilateral. so,  if a pair of…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.