A rectangular package to be sent by a postal service can have Assume the cross section is square.)

Q: 2. Where is the circumcenter of an obtuse triangle located? on one of the legs on the hypotenuse…

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Q: One pair of parallel sides proves a quadrilateral to be a parallelogram O True O False

A: The quadrilateral with one pair of parallel sides is a trapezoid, not a parallelogram. for a…

Q: Construct an equilateral triangle and its three altitudes. What does intuition tell you about the…

A: Equilateral triangle is a triangle with all the three sides and angles equal;   Each Interior angle…

Q: The diameter of a circle is equal to the one side of a cyclic quadrilateral. Let the one diagonal of…

A: As per the guidelines, Solving only the first question Given a cyclic quadrilateral ABCD One side…

Q: 7. Consider the length of the perpendicular from point to side in the given triangle. Show that

A: The sides and the angles of a triangle are related to each other by the trigonometric functions.…

Q: Using the pigeonhole principle: Given an equilateral triangle with side length of 1 cm, how many…

A: Pigeonhole Principle: If n pigeonholes are occupied by n+1 or more pigeons, then at least one…

Q: or a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

A: For a quadrilateral inscribed within a circle, opposite pairs of its interior angles are said to be…

Q: Are the opposite sides of this quadrilateral equal in length? Use the istance Formula to prove your…

A: According to question We have to evaluate the opposite side of the quadrilateral are equal Or not.

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: 1. What is the sum of the measures of the interior angles of an octagon?

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Draw three noncollinear points R, S, and T. Construct a triangle whosesides have R, S, and T as…

A: Draw three non-collinear points R, S, and T.

Q: side

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Q: The circumcenter is found at the intersection of the angle bisectors of the triangle. True or False?

A: All three angle bisectors of the angles of a triangle meet at a single point, called the incenter.…

Q: Prove that any angle bisector of a triangle separates the opposite side into segments whose lengths…

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Q: In quadrilateral RSTU, RT and SU intersect at point M, so that RM TM and RS is parallel to TU. Which…

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Q: Are the incenter and circumcenter of an obtuse triangle the same?

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Q: If a triangle has no congruent sides, it is called_____?

A: Given:If a triangle has no congruent sides, it is called______

Q: Which solids can have a cross-section in the shape of an equilateral triangle? Select all that

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Q: entify if the two triangles are similar and by what postulate/theorem. 3. м 6 10 L5

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Q: Give the most specific name to this shape based on the evidence given in the diagram Square…

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Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: What is the cross section perpendicular to the base of a square pyramid passing through the vertex?…

A:

Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: Given:

Q: Vhat is the measurement of the apothem of a regular decagon with side 30 m?

A: We have to find out

Q: Does a regular pentagon have (a) an incenter? (b) a circumcenter?

A: A regular pentagon has 5 vertices, 5 equal sides and 5 equal angles. A regular pentagon have an…

Q: What is the sum of the interior angles of this octagon?

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Q: Is it possible to construct a triangle with the given side lengths

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Q: Aregular pentagon is shown

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Q: Show that the median to the base of an isosceles triangle is perpendicular to base.

A: Introduction : We have asked to show that the median to the base of an isosceles triangle is…

Q: In ARST, ZR is a right angle. If mzs is 26° larger than mT, find mZT-

A: in △RST given ∠R is an right angle  since m∠R=90 degree   let measure of angle T is =x => m∠T=x…

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: Draw a large acute scalene triangle. Then draw the perpendicular bisectorsof its three sides.

A: It is given that the triangle is acute scalene triangle.

Q: 4. If line m is tangent to circle O, what kind of triangle is triangle ABO?

A: Figure is given by We need to determine the type of triangle △ABO

Q: Type SSS, SAS, ASA, SAA, or HL to justify why the two larger triangles are congruent. Enter

A: The answer is given below:

Q: What type of trapezoid a) has congruent diagonals? b) has congruent base angles?

A:

Q: Is there some kind of triangle such that the perpendicular bisector of eachside is also an angle…

A: In a triangle, The perpendicular bisector of each side is a line that is perpendicular to the side…

Q: An equilateral triangle has how many congruent sides

A: An equilateral triangle has how many congruent sides

Q: Suppose that a quadrilateral is measured and found to have a pair of equal nonadjacent sides and a…

A: Concept: Parallelogram: A unique variety of quadrilateral made up of parallel lines is called a…

Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: A cyclic quadrilateral is a quadrilateral whose vertices are on the circle. Are opposite angles of…

A: Given :- A cyclic quadrilateral is a quadrilateral whose vertices are on the circle

Q: 4 A parallelogram with four right angles is best classified as a: Kite Rhombus Rectangle Isosceles…

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Q: equiangular isosceles triangle?

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Q: A quadrilaterial with exactly one pair of opposite sides parallel is classified as Trapezoid…

A: Given that : A quadrilateral with exactly one pair of opposite sides parallel is classified as

Q: Which property of similarity can be used to prove triangles LKJ and ZYX are similar?

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Q: Is there a regular polygon whose angle at the center is 7°30'?

A: We have given the central angle 7°30'. In terms of degrees, 7°30' = 7° + 0.5° = 7.5°. The central…

Q: Which fact about the angles formed by parallel lines is used in the proof that the diagonal of a…

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Q: The sides of an angle inscribed in a semicircle are perpendicular    True or False?

A: As per given condition: We know that straight line makes an angle of 180 degrees. ∠AOC=180∘