Is it possible to draw a triangle whose sides measure a) 7, 7, and 14? b) 6, 7, and 14? c) 6, 7, and 8?

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: Draw, if possible, a a) right scalene triangle. b) triangle having both a right angle and an obtuse…

A: To draw triangle

Q: Can the sides of a triangle have lengths 3.1, 10.1, and 12.9? yes no

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Q: Given a triangle with interior angles a, ß, y, and opposite sides with lengths a, b, c respectively,…

A: For the given triangle value of angle α= 30 degree

Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

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: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that_________

A: It is given that, In a right triangle with a leg a and b and hypotenuse c.

Q: (a) What is the area of a triangle with sides of length a and band with included angle u?(b) What is…

A: a) Find the area of triangle with sides a and b and included angle u. b) Find the area with sides,…

Q: Is it possible for a trapezoid to have sides of lengths 3,7,5, and 11? Address ALL possible…

A: Let's say the trapezoid has side lengths a, b, c, d, such that sides a and c are parallel to each…

Q: 1. Which two triangles are congruent by ASA? Explain. Y

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Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm. Which of the following can be the…

A: The sides of a triangle have lengths of 22cm, 26cm, and 30 cm.

Q: Consider the figures. Which two triangles are congruent?

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Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: Given kite ABCD and isosceles trapezoid WXYZ, complete a two-column proof to show that AADW = ACDZ.…

A: For the given Kite A B C D and Isosceles trapezoid W X Y Z  It is given that  AC is parallel to W Z…

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: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: Which two triangles are congruent?

A: given triangle Q is here third angle is x, so       x+65°+45°=180°x=180°-110°x=70° 65o is between…

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

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

Q: Consider a triangle ABC, on each of whose sides equilateral triangles are dra

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Q: A carpenter joins four boards of lengths 6 ft, 6 ft, 4 ft, and 4 ft, in that order, to form…

A: The given figure is as shown below :

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: By calculating the lengths of its sides, show that the triangle with vertices at the points A(1, 2),…

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Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: Which type of triangle has sides of lengths a =8, b =12, and c = 14?

A: Which type of triangle has sides of lengths a =8, b =12, and c = 14?

Q: In a 30°-60°-90° triangle with hypotenuse 30 cm long, the lengths of the legs are_____ and_____?

A: A triangle is a polygon which has three sides and three angles. A triangle in which one of the…

Q: Which method listed below would not be used to prove that two triangles are congruent?

A: We know that when all three sets of corresponding angles are congruent then triangles can be similar…

Q: The circumecenter of triangle HJK is point p. point A lies on line HJ and AP is perpendicular to…

A: Follow 2nd step.

Q: which rule are these triangles congruent?

A:

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

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Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

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Q: In a right triangle, with legs a and b and hypotenuse c, thePythagorean Theorem states that .

A: In a right triangle, with legs a and b and hypotenusec, the Pythagorean Theorem states  that______

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: 2. Show work to determine if the points A(1, –1,4), B(2, 1, –1), and C(4, 0,5) form a right…

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Q: 20. If the equilateral triangles shown have sides of 2 cm and 3 cm respectively, then the perimeter…

A: The perimeter is the length of the outline of a shape.

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

A:

Q: Construct a triangle with angles 312 and 123 equal to angles ABC and 1/2 ABC respectively. 1 A B-

A: Let <ABC be theta degree.

Q: Are the triangles congruent by the HL Theorem? A

A:

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

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Q: In triangle QRS, T, U, and Bare midpoints. What are the lengths of TU , UB, and QR ? 30 T 50 B 40…

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Q: Suppose that ABCD is a square, and that CDP is an equilateral triangle with P outside the square.…

A: Let We have to draw a house (a square with a triangle on top). Construct in a way that., 1) Point D…

Q: Decide which method, SAS, ASA, AAS, or HL, can be used to prove that the triangles are congruent.

A: Given figure, we have to decide which method can be used to prove that triangles are congruent.

Q: 4) The Pythagorean Theorem is only true for what type of triangle?

A: We know that Pythagorean theorem is only used in right angle triangle In a right angle triangle by…

Q: The triangle with sides of lengths a = 5, b = 10, and c = 14 is an obtuse triangle. True or false?

A: Given,           To determine the triangle with sides of lengths a = 5, b = 10, and c = 14…

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

A:

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

A:

Q: What additional information would be necessary to prove that the two triangles, rXBY and rZAY, are…

A:

Q: Suppose that in right triangle ABC with right angle at C, AC=b, AB=c, BC we drop perpendicular from…

A: Given,