Show that in hyperbolic geometry, the vertices of a triangle can belong to the same circumference.

Q: Which image shows a line of symmetry of an isosceles trapezoid?

A:

Q: Can you show that this quadrilateral is a parallelogram?

A: We have to check

Q: To test for symmetry with respect to the origin,what should you replace?

A: To test for symmetry with respect to origin we replace x by -x and y by -y. If after simplifying the…

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

A:

Q: Show that the triangle with vertices (5, 4, −1), (3, 6, −1), and (3, 4, 1) is equilateral.

A: To show that the triangle with vertices 5, 4, -1, 3, 6, -1 and 3, 4, 1 is equilateral. Solution: Let…

Q: If angle subtended by any chord of a rectangular hyperbol at the centre is a and angle between the…

A:

Q: Do the three points (1,−2), (2,4), and (−3,5) form a right triangle?

A:

Q: How do we prove that a shape is a parallelogram using coordinate geometry?

A: We will use the properties of parallelogram to prove this.

Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: Show that the points (-2, 4), (3, -1), (-1, -3) are the vertices of an isosceles triangle, and find…

A: Let the given points be - A = -2, 4B = 3, -1C = -1, -3Now, Let's find the distance AB between point…

Q: Prove that the figure formed by connecting consecutive midpoints of the sides of any quadrilateral…

A: Given   The figure formed by connecting consecutive midpoints of the sides of any quadrilateral

Q: The endpoints of one side of a regular pentagon are (-1, 4) and (2, 3). What is the perimeter of the…

A: Given,         The endpoints of one side of a regular pentagon are -1,4 and 2,3.

Q: A parallelogram has point symmetry about the point where its two diagonals intersect.

A: Given query is to find that given statement is true or false.

Q: The ____ of a triangle intersect in a point that is equidistant from the sides of the triangle.

A: The triangle is a polygon with three edges and three vertices. It is one of the basic shapes in…

Q: Can you show that this quadrilateral is a parallelogram? yes

A: Parallelogram Definition A parallelogram is a quadrilateral with two pairs of parallel sides. The…

Q: The three fixed vertices of a parallelogram are A(a1,a2), B(b1,b2) and C(c1,c2). If the area of…

A: Given: Three fixed vertices of a parallelogram are Aa1,a2, Bb1,b2 and Cc1,c2. The area of triangle…

Q: In Hyperbolic Geometry, the sum of internal angles of a triangle is always greater than 180°. True…

A: False

Q: Construct a perpendicular bisector of the hypotenuse of a right triangle.

A: Given: Construct a perpendicular bisector of the hypotenuse of a right triangle.

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: Give the most specific name for the quadrilateral.

A: we will see i.n next step

Q: In hyperbolic geometry, why can there be no squares or rectangles?

A: This is a problem of differential geometry.

Q: Choose two figures which are topologically equivalent to each other

A: Two figures are said to be tropologically equivalent if they can be tranformed into each other…

Q: Explain why the hyperbolic equilateral triangle each of whose angles measures 50° cannot be used to…

A: Given that a hyperbolic equilateral triangle having an angle with 50° The triangle is,

Q: Depict the relationship of Parallel Postulate and Euclidean  Geometry.

A: Let's write answer,

Q: ACDF is a cyclic quadrilateral.

A: A quadrilateral is known as a cyclic quadrilateral when the sum of the opposite angles of the…

Q: for a four-point and four-line geometry

A: answer  is in next step

Q: Which of the following is four-point geometry?

A: Axioms of Four Point geometry is given as 1.   There are exactly four distinct points 2.   Any two…

Q: Which kind of symmetry do all of these figures have?

A:

Q: An equiangular triangle is also:

A:

Q: In the context of hyperbolic geometry, show that the segment joining the midpoints of two sides of a…

A: Given below clear explanation

Q: A parabola is the locus of a point equidistant from?

A: Answer : A parabola is the locus of a point equidistant from a fixed point and a fixed line.

Q: If an elliptical whispering room has a height of 30 feet and a width of 100 feet, where should two…

A: Given that the ellipse is of width 100 feet and height of 30 feet. Here the two people likes to…

Q: Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also,…

A:

Q: Prove that the midpoint of the hypotenuse of a right triangle is. equidistant from the verticle

A: Instead of T,S,V and M I choose C,A,B and D

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

A:

Q: Which of the triangles below would have the smallest incircle?

A: Circle inscribed in a triangle and touching all the sides are called incircle of that triangle.

Q: Show that triangle with vertices p(6,-7),q(11,-3) and R(2,-2) is a right angled triangle using…

A: We first find the length of the sides using the distance formula.…

Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

A:

Q: Explain why a line in hyperbolic geometry must contain two distinct ideal points.

A: We have to answer given Questions.

Q: Plot the quadrilateral after being rotated 180°. Label the vertices of the image. L St -М

A: Basic coordinate geometry problem

Q: Pythagoras' Theorem is a rule that will work in any triangle that has

A:

Q: A triangle is inscribed in a rectangular hyperbola s to the opposite side. Prove that the trian…

A:

Q: The _____ of a triangle intersect in a point that is equi-distant from the vertices of the triangle

A: The circumcenter of a triangle intersect in a point that is equidistant from the vertices of the…

Q: Prove that the midpoint of the hypotenuse of any right triangle is equidistant from the vertices.…

A: To solve the given problem

Q: Prove analytically that the perpendicular bisector of the sides of a triangle are concurrent.

A:

Q: Which of the following is a three-point geometry?

A: Three point geometry is a finite geometry subject to the following four axioms: 1) There exist…

Q: Prove that the midpoints of a parallelogram bisect each other using coordinate geometry.

A:

Q: Determine the coordinates of the hexagon if a regular hexagon of side length 1 unit is inscribed in…

A: Given: A regular hexagon is inscribed in a unit circle. The length of each side of hexagon is 1…

Q: A hypotenuse is the longest side of a right angled triangle? True or False

A: It is true that a hypotenuse is the longest side of a right angled triangle.

Q: A square and a rhombus have the following in common except.

A: