If a parallelogram has a right angle, then the parallelogram is a square. Provide a counter example for the statement and rewrite the statement to be always true.

Q: A home builder wants to create a foyer window in the shape of a rhombus. The window will have…

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Q: determine whether the triangles are similar. If so, write the similarity statement and name the…

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Q: If 270 0 , A , 360 0, then A/2 terminates in which quadrant?

A: Given 270°<A<360°......(1)

Q: If 180 0 , A , 270 0, then A/2 terminates in which quadrant(positive or negative )?

A: Given: 1800≤A≤2700 To Find: A2 terminates in which quadrant.

Q: All parallelograms have two pairs of parallel sides. O True O False

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Q: write a statement that indicates that the triangles in each pair are congruent

A: Given,  ∆UVW   and   ∆BUW  We have to write a statement that indicates that the triangles in each…

Q: When you know that one angle of a parallelogram is a right angle, youcan prove that the…

A: Let ABCD is a parallelogram and ∠A=90° i.e.

Q: If both pairs of the opposite side of the quadrilateral are parallel, then the quadrilateral is a…

A: If both pairs of the opposite side of the quadrilateral are parallel, then the quadrilateral is a…

Q: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______?

A: If 3 and 4 are the legs of a right triangle, the hypotenuse is_______. By using Pythagorean theorem,…

Q: side a on a right triangle is always the longest side true or false

A: Hypotenuse of a right triangle is always longest side.

Q: A parallelogram has both pairs of opposite sides equal.

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Q: "A parallelogram with all sides congruent and all angles congruent"

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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: If the height of an equilateral triangle is 7/3, then the length of its side is

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Q: Is this a parallelogram or is this a square? If one angle is 90 degrees, would the rest be 90…

A: Given figure is square or parallelogram,

Q: Determine if the quadrilateral must be a parallelogram. Justify your answer ?

A: 1. Both pairs of opposite sides are identical. 2. Both pairs of opposite angles are identical.  3.…

Q: The slant height should be used when finding the perimeter of a parallelogram. O True O False

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Q: If 90 0 , A , 180 0, then A/2 terminates in which quadrant?

A: We have to determine quadrant position for A2 if 90°,A,180° We know that if angle is given between…

Q: Use the fact that the longest side of a triangle is across from the largest angle to explain why the…

A: Here we have to prove that the hypotenuse is always the longest side in the right triangle.

Q: If the longer leg of a 30-60-90 degree triangle is 6/3units, Find the length of the shorter leg of…

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Q: Illustrate that the sum of the angles of an elliptic triangle is more than 180 degrees

A: The basic definition of lune is that, the lune is a wedge of a sphere with an angle θ and is…

Q: A rectangular frame is being built for an artist's canvas. The finished canvas should have a length…

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Q: 2. Illustrate that in Euclidean geometry, the sum of the angles of a triangle is 180°.

A: We have proved that in Euclidean geometry, the sum of the angles of a triangle is 180o.

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: The side opposite to the Right angle in a right angled triangle is the hypotenuse True or False?

A: True

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other…

A: Consider a right triangles.

Q: If a parallelogram has a right angle, then the parallelogram is a square. Provide a counterexample…

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Q: What is meant by the statement “every triangle can be circumscribed”?

A: The point where perpendicular bisector of all sides of a triangle meet is called circumcenter of the…

Q: The diagonals of quadrilateral ABCD intersect at point K. Is each statement needed to prove that…

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Q: Determine whether the pair of triangles is congruent.

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Q: Show that the two triangles are similar. AWXZ and AZXY 24

A: Use angle angle angle(AAA) to prove similar

Q: Find the third angle of a triangle if the sum and difference of the first and second ongle are 100…

A: Given:- The sum and difference of the first and second angle are 100 degrees and 20 degrees,…

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: An isosceles right triangle has one Vangle and equal sides.

A: our objective is to find the statement.

Q: Suppose you have a right triangle with side lengths 26, 24, and 10. Which lengths represent the legs…

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Q: Illustrate that the sum of the angles of a hyperbolic triangle is less than 180 degrees.

A: We have to illustrate about why sum of the angels of a hyperbolic triangle is less than 180 degree.

Q: A triangle is equilateral if its angles are represented by x +15, 3x- 75, and 2x- 30 a) True b)…

A: We have to check

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: In any triangle, the sum of the three interior angles is always _______.

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Q: If two legs of a right triangle are 7 and 14, find the length of the hypotenuse.

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Q: For which quadrilaterals do

A: Given, a quadrilateral in which the diagonals bisect each other and have the same length.…

Q: If a parallelogram contains a 105° angle, then one of the other angles must also be 105°. O True O…

A: If a parallelogram contains a 105∘ angle , then one of the other angle must also be 105∘ a)…

Q: What quadrilaterals always have diagonals that are perpendicular

A: We need to find the quadrilaterals always have diagonals that are perpendicular.

Q: Suppose a triangle has angles ZA, ZB, and ZC. If the measure of ZB three times the measure of ZA,…

A: Let's find.

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: Write a statement that indicates that the triangles in each pair are congruent

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Q: A right triangle is formed by squares made up of identical square blocks a

A: A right triangle is formed by squares made up of identical square box as shown in figure.

Q: True or False The circumcenter of the right triangle is that the vertex of the right angle.

A: We define here circumcentre of right angle triangle.