Provide an example of a new theorem related to triangles and describe the steps as to how this theorem can be proven

Q: Define the Pythagorean theorem?

A: To define Pythagorean theorem

Q: Use special right triangles theorems to find the missing side lengths. Leave your answers as…

A: Our Aim is to find the missing side lengths using special right angle theorem.

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: How would the following triangle be classified?

A: Two side lengths are congruent and one angle measures 90 degree

Q: How do these triangle appear to be similar ?

A: Two triangles are said to be similar if their corresponding angles are congruent and the…

Q: To close the blades of the scissors in this photo, you would have to close the handles. When you…

A: Here in the figure there is  a pair of scissors . We need to prove that angle between blades and…

Q: What do all the points that are on the circle have in common? Explain How can you prove this? Show…

A: The equation of a circle centered at the origin (0,0) and having radius r is given by: x2+y2=r2

Q: Create a set of 3 planes that intersect in a "Triangular Prism", as the picture shows. In other…

A: The equation of a plane is given by the formula ax+by+cz=d. The planes can be made depending upon…

Q: rule explains why these triangles are congruent? K

A: solution:-in triangle ∆MNJ  and  triangle ∆MKJMN=MKNJ=KJMJ=MJ

Q: Classify the triangle as right, acute or obtuse if the lengths of a triangle are 9, 12, 14. How do…

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Q: Prove that the mid-points of the sides of any triangle form a triangle similar to the original…

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Q: In right triangle ABC with the right angle at vertex C, altitude CE C to AB diagram is drawn from…

A: The picture of the triangle is given.

Q: how to tell if triangles are cogruent?

A: GivenHow to tell if triangles are congruent

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: Explain how the Pythagorean Theorem is related to the distance formula.

A: Topic-pythagorean theorom and distance formula

Q: What is the exact point of r if the point (-4,2) lies on the terminal side of an angle x when drawn…

A: It is given that, the point (-4,2) lies on the terminal side of the angle.

Q: which triangle has a tangent of 1? please provide a picture to show your work

A: We can use following table to know relation between different angles and their tangent. different…

Q: the bisectors of the base angles of a triangle cannot enclose a right angle in any case to prove…

A: Given: the bisectors of the base angles of a triangle cannot enclose a right angle in any case

Q: What is the pythagorean theorem?

A: It is the mathematical formula which establishes the relationship between the sides in a right angle…

Q: Determine the relationship between the two triangles and whether or not they proven to be congruent.…

A: Two triangles given have the same length of their sides that means all the sides of first triangle…

Q: Three of the interior angles of a regular pentagon are each x. The others are each 3x. Findx.

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Q: Prove that the sum of the angles of an elliptic triangle is more than 180 degrees and explain.

A: We have to prove that angle sum elliptic triangle is greater than 180°.   lets prove this , we will…

Q: What are the elements of Euclidean and Non-Euclidean Geometry?

A: Solution

Q: How is the pythagorean theorem related to distance formula?

A: Consider the provided information, We know that the Pythagorean theorem is defined as, c2=a2+b2 So,…

Q: Point C is located on AB such that the ratio of AC : CB is 3:2. What is the x-coordinate of C?

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Q: 3. ДАВС by.

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Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: Given that two triangles. We observe that the two triangles are right angles and two of sides of two…

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

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Q: How does the AA Similarity Postulate work and how can I prove if two triangles are similar with it?

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Q: Can you show how to prove that triangles ABC and AEA' are similar using Inscribe Similar Triangle…

A: Aim: To show how to prove that triangles ABC and AEA' are similar.…

Q: How to prove congruent triangles

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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: Are these two triangles similar or not? If they are explain why they are similar and stare which…

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Q: State whether the triangles are similar. If so, write a similarity statement and the postulate or…

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Q: Draw a triangle with three acute angles. Construct angle biscctors for each of the three angles. On…

A: Draw a triangle with three acute angles. Construct angle bisectors for each of the three angles.

Q: What where the contributions that Euclid made to Geometry?

A: topic - Euclid's  geometry

Q: Determine if the triangles are similar. If they are, complete the similarity statement and indicate…

A: For any two triangles to be similar, the ratio of their corresponding sides is the same.

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

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Q: Select one of them and explain how the algebra of the rule connects to the reflection of the…

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Q: If triangle A is rotated 270 degrees counterclockwise about the origin, which triangle will be its…

A: Triangle A is rotated 270 degrees counterclockwise about origin.

Q: How does the law of cosines generalize the Pythagorean theorem?

A: We have to show that the law of cosines generalize the Pythagorean theorem.

Q: Could you explain in detail or steps how to do these type of special triangles?

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Q: How can you be familiar with making a proof in geometry?

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Q: If secA = 2 then A = 120⁰ or A = 240 Explain why, using diagrams of the appropriate special triangle…

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Q: What theorem can be used to prove that AABD ADCA? Explain by naming the corresponding parts of the…

A: We have different congruency theorem to prove the congruency of the two triangles.  Sum of them are…

Q: Select the triangle (in the correct order) and the method for which the two triangles shown are…

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Q: Determine the relationship between the two triangles and whether or not they can be proven to be…

A: topic - triangles  the AAA (angle-angle-angle) similarity theorem: if two triangles have their…

Q: Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?

A: our objective is to find the correct choice

Q: om the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a…

A: Given that an altitude is drawn from the vertex of an isosceles triangle, forming a right angle and…

Q: What are the exact values for the 6 trigonomic functions of a 300o angle?

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