Higher Order Thinking Hexagon ABCDEF is a regular hexagon with all sides and angles congruent. List all sets of congruent triangles with vertices that are also vertices of the hexagon, and list all sets of congruent quadrilaterals with vertices that are also vertices of the hexagon.

Q: Prove ABCD is a parallelogram. Justify mathematically and explain.

A: Given vertices of quadrilateral are A(-1,3) B(3,2) C(2,-5) D(-2,-4) Prove ABCD is a parallelogram

Q: how the perimeter of any polygon or plane figure can be found given the coordinates of its vertices.…

A: The basic formula used to find the perimeter of a polygon is, Perimeter = sum of all sides.

Q: APQR is an isosceles triangle with vertex angle Q, PQ = 5x - 24, QR = 3x-2, and PR = 5x-8. Fill in…

A: Given, PQR is an isoceles triangle with vertex angle ,Q PQ = 5x -24 QR = 3x - 2 PR = 5x - 8…

Q: How many possible nonzero distances does a quadrilateral, that is not a rectangle, rhombus,…

A: The objective of the question is to determine the number of possible nonzero distances in a…

Q: Does this polygon have point symmetry? A Yes B No

A: We know that Point symmetry is when, given a central point on a shape or object, every point on the…

Q: what is symmetry of an object

A: Symmetry of an object is the geometrical property where there exists some self-similarity if we…

Q: For everypolygon this castle have, explain whatkind of polygon it is (number ofsides and angles,…

A: A triangle has 3 sides and 3 angles. Sum of all the interior angles of a triangle= 180° A rectangle…

Q: 7. Compute the area of the polygon with vertices at (6,1), (3,-10), (-3,-5) and (-2,0)

A: Given:  vertices of polygon (6,1), (3,-10), (-3,-5) and  (-2,0)To find: area of the polygon

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Q: Why the order in which you list the vertices of two polygons in a congruence statement is important?

A: Answer: When naming congruent polygons, it is important that the corresponding vertices be in the…

Q: Can a polyhedron have 3 faces, 4 vertices, and 5 edges? Explain.

A: Euler's formula for a polyhedron  For any polyhedron F+V-E=2 Where  F = number of faces  V = number…

Q: Every rectangle is also a parallelogram. Viewing a rectangle as a parallelogram, we can choose a…

A: The statement isEvery rectangle is also a parallelogram. Viewing a rectangle as a parallelogram, we…

Q: The diagonal of square ABCD is shown. 4. -2- 2.

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Q: Explain how you would correspond in a bijective way all the points of a circle with holes in it with…

A: Given a circle with a hole and a straight line. To find a correspondence between the circle with a…

Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: ABCDEF is a hexagon with opposite sides equal and parallel. Choose the midpoints of two pairs of…

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Q: When a polygon is translated left 3 units, all of the x-coordinates will become -3 and the…

A: The conjecture that when a polygon is translated left 3 units, all of the x-coordinates will become…

Q: Can you give me and example of a quadrilateral?

A: Quadrilateral have 4 side . And it's have different different type of position.

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: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

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Q: Use any method to determine whether the quadrilateral i D(-8, 1), E(-3, 6), F(7, 4), G(2, -1) * a…

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Q: a kite is one type of quadrilateral true or false

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Q: 15. Is the following quadrilateral a parallelogram? Q. yes b. no C. not enougn information

A: Correct option :- C Detailed Explanation :-

Q: How is a parallelogram the same as a rhombus?   Select all accurate choices.   A. A…

A: To Determine: How is a parallelogram the same as a rhombus?

Q: If a figure is a square, then the figure satisfies the definitions of four other 4-sided figures.…

A: If a figure is a square, then the figure satisfies the definitions of four other 4-sided figures.…

Q: The cover of a soccerball consists of in- terlocking regular pentagons and regular hexagons, as…

A: The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles The…

Q: Draw completely with label the following quadrilaterals.   A lot is in the form of a parallelogram…

A: Consider a parallelogram ABCD with the longer side equal to x m. Shorter side will be x-50 m. The…

Q: triangles

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Q: 4. Use combinations to find the maximum number of points of intersection determined by the diagonals…

A: Let A be a set of n elements. To select r objects from a collection of n elements in the set A…

Q: Determine the type of quadrilateral described by set of vertices. Give reasons for your answers.…

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