The perpendicular bisectors of the sides of any triangle ABC are concurrent. The point is called the Centroid circumcenter incenter

Q: at is the name of the three-dimensional shape formed if points M and N remain fixed, while line…

A: Here we have to write the name of the three-dimensional shape formed if points M and N remain fixed,…

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

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A: The given vertices of the rectangle is A = (1,0), B = (0,3), C = (3,4), and D = (4,1).Use the given…

Q: Find the coordinates of the midpoint of side VT in the quadrilateral below.

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Q: in the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

A: In the coordinate plane, quadrilateral ABCD has vertices A(-2,3), B(4,5), C(10,-1), and D(8,-9). Let…

Q: Show that the points (a,a),(-a,-a) and (-V3a, v3a) are the За vertice of an equilateral triangle.…

A: Given the co-ordinate of a triangle Let A=(a,a)B=(−a,−a)C=(−3a,3a)

Q: Suppose that a circle is to contain the three vertices of a triangle. Relative to the triangle,…

A: Option A

Q: The quadrilateral ABCD is inseribed in the eircle centered at the point o. B(2y)°

A: Given that the quadrilateral ABCD is inscribed in the circle centred at the point O.

Q: Find the sum of the interior angle measures of a convex 18-gon (an eighteen-sided polygon).

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Q: Find the coordinates of vertices of a unit cube where the three concrrent edges are the coordinte…

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Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: 2. Prove that if the Fermat-Torricelli point of an acute triangle ABC coincides with the incenter,…

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Q: The diagonals of parallelogram ABCD intersect at P. Which statements must be true?

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Q: Can you make a pyramid in which the triangular faces are not all congruent?

A: We need to draw a pyramid whose triangular faces are not all congruent.

Q: Point D is the incenter of triangle AABC, where mZABC MZBCD = 2 · MZBAD. Determine m2ADB, MZADC, and…

A: Given, D is the incenter  of triangle ∆ABC Where    m∠ABC = 60°     and  m∠BCD = 2.m∠BAD   We have…

Q: When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller…

A: Characteristics of a rhombus All sides are equal.   (i) Diagonals bisect each other at right…

Q: Prove that if the Fermat-Torricelli with the orthocenter, then ABC is equilateral. point of an acute…

A: To prove that if the fermat-torricelli point of an acute triangle ABC coincides with the…

Q: iven

A: Given △ABC Let X be any point in the plane so that AX, BX, CX are cevians of △ABC given to prove…

Q: a quadrilateral is inscribed in a circle such that one of its sides coincides with the diameter. If…

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Q: In a pyramid, the top point is called the lateral edge. True O False

A: FALSE

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: A parallelogram with all four sides congruent is classified as a:

A: Given : A parallelogram with all four sides congruent.

Q: Find the perimeter of the triangle with vertices at​ A(0,0), B(−4​,−3​), and C(−5​,0).

A:

Q: 3. Write the (a) center, (b) vertices, (c) covertices, (d) foci, (e) length of MA, and (f) length…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: Determine if the net will fold into a prism, a pyramid or neither, and explain why. Then name if the…

A: Remarks:  (1) Neither prisms nor pyramids have rounded sides, rounded edges or rounded angles.…

Q: Find the length of the longer diagonal in a rhombus with sides of length 12 and a smaller diagonal…

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Q: In trapezoid ABCD, AB CD and ZBAD insert diagonals AC and BD : AAMD is isosceles.

A: Given :- In trapezium ABCD, AB≅CD and ∠BAD≅∠CDA  Prove :- ∆AMD is isosceles ∆

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD, and diagonals AC and BD intersecting at P.…

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Q: CONSTRUCT EQUILATERAL TRIANGLE UPON AB AS THE BASE. At

A: According to question given thatAB is the base of the equilateral triangle and we have to construct…

Q: Find the points on the cone 22 = x? + y? that are closest to the point (4,-1,0)

A: Follow next step

Q: Aregular pentagon is shown

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Q: An equilateral triangle can make a regular tessellation. O True O False

A: Equilateral triangles, squares and regular hexagons are the only regular polygons that will…

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

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: If you know that Point M is the midpoint of TS and UR, which of the triangle congruence methods…

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

A:

Q: A parallelogram with all four sides congruent is classified as a: Trapezoid None of the above…

A: Figure

Q: If the midpoints of the sides of an isosceles trapezoid are joined in order, then the quadrilateral…

A: In an isosceles trapezoid: One pair of sides are parallel. The other pair of sides are equal.…

Q: A trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the…

A: Given: The trapezoid MNPQ given by

Q: Show that the triangle with vertices A(0, 0), B(1, √3), and C(2, 0) is equilateral.

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Q: 44. Prove: The diagonals of an isosceles trapezoid are congruent.

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Q: If the radius of the circle is 10 cm and the height of the triangle is 40 cm. What is the distance…

A:

Q: In triangle ABC. AB = 7 and BC = 7 . Write the theorem that allows you to conclude that B is on the…

A: Consider the triangle ABC with AB=7 and BC=7. Since AB=BC=7, So the triangle ABC would be an…

Q: A hexagon with all sides equal to one another and all angles equal to one another can make a regular…

A: To check whether we can make regular tessellation or not?

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: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: Which describes the cross section of the square prism that passes through the vertices A, B, C, andD…

A: A square prism is a shape of cuboid having bases squares

Q: Points must be collinear in order to use the segment addition postulate. O True O False

A: solution = point must be collinear in segment addition postulate .this addition apply on line…

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.