Show that the points (a, a).(-a,-a) and (-3a, 3a) are the vertice of an equilateral triangle.Also, find its area.

Q: For the AAS Theorem to apply, which side of the triangle must be known? A. the included side A. the…

A: For AAS theorem two angles and a non-included side is congruent then both triangles are congruent.

Q: Consider the triangle AABC Where Ã= 0 B= and C= 1 Find the coordinates of the vertices of the dual…

A: Consider the triangle ∆ ABC and

Q: Identify the shape as specifically as possible based on the description below: A quadrilateral…

A: Two sides are congruent means that the two sides are of equal length.

Q: Construct the Incenter and Incircle for a Triangle

A:

Q: ABCD is a quadrilateral. The points E,F,G and H are the midpoint of the sides of this quadrilateral.…

A: Given- ABCD is a quadrilateral and points E,F,G and H are the midpoints of the sides of…

Q: An octagon has ___ sides.

A: An octagon has ___ sides.

Q: let A=(2,1) B=(0, sqrt(5)) and C= (0,1) show that the sum of the hyperbolic angles of triangle ABC…

A: Given - let A=(2,1) B=(0, sqrt(5)) and C= (0,1) To show - Show that the sum of the hyperbolic angles…

Q: Classify a triangle with each set of side lengths as acute, right or obtuse.

A: For right angle triangle  : for acute for obtuse

Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

Q: A circle touches all sides of a parallelogram. So the parallelogram must be a __________. (A)…

A:

Q: Which type of triangle is shown below? 十

A: step 2 complete solution

Q: Find the measures of the angles of the triangle whose vertices are A = (-1,0), B = (2, 1), and C =…

A: A=(-1,0) B=(2,1) C=(1,-2)

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: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

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Q: 16) 28 20

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Q: Prove in a paragraph proof: If a parallelogram is inscribed in a circle, then it is a rectangle

A: Given: A parallelogram inscribed in a circle. To prove: The parallelogram is a rectangle.

Q: For a triangle, which two points of concurrence could be located outside the triangle?

A: Which point of concurrence could be locatedoutside the triangle

Q: Use the converse of the Pythagorean Theorem to show thata triangle whose sides are of lengths 11,…

A: The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a…

Q: Consider the points A: (3, -3, 1), B: (0, 3, 2), and C: (-4,2,0). Find the area of parallelogram…

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Q: Consider a right triangle with right angle C. If b= 32ft andc- 51ft, find all missing sides and…

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Q: Is a triange with the verticies A(7,1) B(0,4) and C(-4,-8) a right triangle yes or no?

A:

Q: Use dot product to find the interior angles at A, B, and C of the triangle defined by the three…

A: HINT:  To calculate the angle we need the following thing: cos(α) = A.BAB We need to calculate AB…

Q: Tell which triangle congruence theorem is used to prove the triangles congruent.

A:

Q: Show that the points A(2, 3), B(4, 9), and C(-2, 7) are the vertices of an isosceles triangle. Find…

A: The triangle is as below:

Q: Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C =…

A: The given three vertices of a triangle are A(-1,0), B(2,1) and C(1,-2). Now, considering the sides…

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

A: Given,  The coordinates of vertices of triangle A-3, 7  B2, 19  C10, 7   We have to find the length…

Q: Which of the following side lengths of a Triangle DO NOT IN fact make a Right Triangle? * 3, 4,5 9,…

A: In this question given that triangle three sides and ask that which option do not correct for a…

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

A: If we can find the height of the triangle then area can find out using 12×base×height

Q: Identify the shape as specifically as possible based on the description below:  A quadrilateral…

A: To determine: A quadrilateral where all angles are congruent

Q: Show that the triangle with vertices A(2, -3), B(6, -8), and C(-3, -7) is a right triangle by using…

A:

Q: Use the Pythagorean Theorem to find the missing side of the night triangle below.

A: Let the length of missing side = x apply Pythagoras theorem

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: An equiangular triangle is also:

A:

Q: Let AABC be an isosceles right triangle with hypotenuse AC. Find mLA, mZB, and m/C. mLA = mZB = mLC…

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Q: Consider the triangle ABC with vertices A(0,2), B(2,0), C(/2, v2) Also, Find the vertices of the…

A: The triangle ABC with vertices A(0,2), B(2,0), C(2,2)The dilating factor of 3 about origin.

Q: Classify this triangle by its sides and angles. right and scalene right and equilateral acute and…

A: Given all sides are equal so relate the types of triangle with it.

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: Find the area of the triangle formed by the points A = (3, –1, 2), B = (1, 1, 0), and C = (1,2,–1).

A:

Q: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle. Identify the…

A: Given: Show that a triangle whose sides are of lengths 5, 12, and 13 is a right triangle.Identify…

Q: Is the vertex of an angle in its exterior? Why or why not?

A: The point at which the two rays meet or begin is known as the vertex of an angle.

Q: Use the Pythagorean Theorem's converse to prove that a triangle with sides of lengths 11,60, and 61…

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Q: The perpendicular bisectors of triangle ABC meet at point D. Find DB, DC and AE.

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Q: Does a scalene triangle have line symmetry?

A: A scalene triangle is a triangle in which all three sides are in different lengths, and all three…

Q: Determine whether or not the three points form a right triangle. Use the Pythagorean theorem to…

A: Given points A (1,-2) , B (-3,4) and C (5,-6)Let make triangle from the given points

Q: et AABC be a triangle and let P,Q, and R be the midpoints of BC, AC, and orrespondingly. Show that…

A: We draw a triangle and join the midpoints of each side to each other forming 4 triangles within the…

Q: Use the Distance Formula to determine the type of triangle that has these vertices: a) A(0, 0), B(4,…

A: Note: Since you have asked multiple questions. We will solve the first question for you. If you want…