Your sister claims that the heights of any triangle intersect in a poínt that is the center of botħ inscribed and circumscribed circle of that triangle. Your brother thinks such triangle does not exist. Correct their statements and explain them the mistakes they made.

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A:

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A: Given,            A right triangle BCA is given below :

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A:

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A: Question - 20 Given:

Q: On the unit circle, the _______ measure of a central angle and the length of _______it cuts off are…

A: Fill in the blanks "On the unit circle, the _______ measure of a central angle and the length of…

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A: Given, JK⊥ML

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A:

Q: Consider any triangle and one exterior angle at each vertex. What is the sum of the measures of the…

A: Let ABC be a triangle and let x, y & z be the exterior angles at the vertices A, B and C…

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: Are these triangles similar? If so, what is the similarity statement?

A:

Q: Do you agree that if two lines intersect at the center of the circle, then the lines intercept two…

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Q: Draw segments that divide an obtuse triangle into acute triangles

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A:

Q: Your sister claims that the heights of any triangle intersect in a point that is the center of both…

A:

Q: if an isocoleces triangle has a base angle measuring 40 degrees then what measure is the vertex…

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Q: Are these triangles similar? *

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Q: Is a triangle with side lengths 7, 4/5 & 2 acute, right, obtuse or not possible?

A: 1.  Given

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Q: It is an angle whose vertex is on a circle and whose sides contain chords of the circle?

A: I have provided the answer in step 2.

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

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Q: A cyclic quadrilateral is a quadrilateral whose vertices are on the circle. Are opposite angles of…

A: Given :- A cyclic quadrilateral is a quadrilateral whose vertices are on the circle

Q: 1. Translate quadrilateral ABCD by the given length and direction. ID 2. Reflect the triangle over…

A:

Q: A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that…

A: Topic:- geometry

Q: ) Is it possible to draw a triangle with base angles that are obtuse? If it is, draw a picture of…

A:

Q: Prove that the line segment joining the midpoints of two sides of a triangle determines a triangle…

A: Let draw the triangle △ABC  and the midpoints of the two sides as follows.

Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: order for the path of your shot to form two similar triangles, what information must be true about…

A: As you have provided here incomplete question.    All information are not pasted correctly.

Q: Are these triangles similar? If yes, how do you know?

A: We will solve the following.

Q: Is it true that if you know one side length of an isosceles right triangle, then you know all the…

A: Given: Is it true that if you know one side length of an isosceles right triangle, then you know all…

Q: If an insoribed angle of a circle intercepts a semicircle what is tha angle formed?

A:

Q: Suppose a right triangle has legs that are 4 and 11. What is the length of the hypotenuse, rounded…

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Q: A tiangle has exactly 2 congruent angles. What term best describes this triangle?

A: Given:  A triangle has exactly two congruent angles.