Show that the median to the base of an isosceles triangle is perpendicular to base.

Q: Assume that the figures shown to the right are similar. Given the lengths of sides and measures of…

A: Similar Triangles: The three-sided polygon is known as a triangle. The following conditions apply to…

Q: In circle P with mZNRQ = 23, find the mZNPQ. %3D

A: Inscribed angle theorem can be used for measuring 2 related angles. Among these 2 angles, one must…

Q: A negative angle greater than  −720°  that is coterminal to  −203°  is

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Q: What does it mean for two segments to be congruent?

A: What does it mean for two segments to be congruent?

Q: Find the angle of the least positive measure (in degrees, not equal to the given measure) that is…

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Q: Use coordinate geometry to prove that the median of a trapezoid is parallelto each base

A: Trapezoid is a shape with 4 sides and one pair of opposite sides parallel.

Q: What is the length of AB? AB and BC are tangents to the circle. 7x+5 x+23

A: Circle question

Q: Find the angle of least positive measure(in degrees, not equal to the given measure) that is…

A: The angle of least positive measure of coterminal with 468°. 468° - 360° = 108°

Q: A wire is bent into form a square of side 22 cm . If the wire is rebent to form a circle , Find its…

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Q: Are the opposite sides of this quadrilateral equal in length? Use the istance Formula to prove your…

A: According to question We have to evaluate the opposite side of the quadrilateral are equal Or not.

Q: Prove that in any triangle, the lines joining the endpoints of the three medians form a triangle…

A: Lemma: In ∆ABC:Using this lemma we can say that From 1: ADAB = DFBC=> DFBC = 12 ---------aFrom 2:…

Q: A triangle median extends from a vertex of the triangle to the endpoint of the opposite side. O True…

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Q: A median of a triangle is a segment from a vertex to the____of the opposite side.

A: A median of a triangle is a segment from a vertex to the …….. of the opposite side.

Q: In circle P with mZNRQ = 37, find the mZNPQ. %3D R

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Q: The median of an isosceles triangle is also a perpendicular bisector. O True O False

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Q: a quadrilateral is inscribed in a circle such that one of its sides coincides with the diameter. If…

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Q: A_______ __________ is a positive angle whose vertex is at thecenter of a circle

A: It is given that, A_______ __________ is a positive angle whose vertex is at thecenter of a circle.

Q: is a line or segment that extends from one vertex of the triangle and meets the opposite A(n) side…

A: Consider the statement  A(n) ...............is a line or segment that extends from one vertex of the…

Q: Find an angle between 0° and 360° that is coterminal with angle 1270°.

A: Given query Need to find coterminal angle of 1270°

Q: From a horizontal distance of 8.5 km, a pilot observes that the angles of depression of the top and…

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Q: Use the analytic method to decide what type of triangle is formed when the midpoints of the sides of…

A: Given: An isosceles triangle let say △ABC with AB=AC To determine: The nature of triangle formed…

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle 415°

A: To find the  positive angle less than 360° or 2π that is co terminal with the given angle 415°

Q: A circle is inscribed in a polygon if each side of the polygon is tangent to the circle. true or…

A: If all the vertices of a polygon are on the circumference of a circle, the polygon is inscribed in a…

Q: Prove that if a line bisects one side of a triangle and is parallel to a second side, then it…

A: Basic proportionality Theorem of triangle is define as if a line drawn parallel to one side of…

Q: (5) Prove that in an Isosceles triangle, the angle bisector at the apex angle is also the median and…

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Q: Prove that the sum of the angles of an elliptical triangle is more than two right angles.

A: Solution:-

Q: The drawing shown can be used to prove that the line segment joining the midpoints of two sides of a…

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Q: Find the length of segment AC?

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Q: What is the length of segment AB?

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Q: Prove If a line is drawn parallel to one side of a triangle to intersect the other two points .The…

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Q: Given an acute angle, show that not every point inside the angle lies on a segment of a hyperbolic…

A: Show that not every point inside the angle lies on a segment of a hyperbolic straight line joining…

Q: An isosceles triangle with legs of 9 cm and a base of 10 cm in length has a median drawn from its…

A: We know that in isosceles triangle median through vertex on base is perpendicular to base, and it…

Q: Verify that line segments of length 8, 19, and 25 cm form a triangle and classify the triangle as…

A: Triangles:  Triangle is a closed figure bounded by three line segments. A triangle can be Scalene,…

Q: Find a positive angle less than 360° that is coterminal with a -135° angle.?

A: Concept - A coterminal angle is calculated by adding and subtracting 360 degrees from the angle…

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: Base angles are congruent in an isosceles trapezoid. O True False

A: In an isosceles trapezoid,  two non-parallel  sides are equal. So, the base angles are same as equal…

Q: Show that if a line is drawn from the vertex of an isosceles triangle that bisects the base of the…

A: Let ABC is an isosceles triangle such that AB=AC. Let AD is the bisector of angle A. To prove BD=BC…

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: what is the measure of the acute angle in the set of parallel lines?

A: Consider that the parallel lines are the lines that never intersect at any point. The distance…

Q: prove the theorem that states that the angle between a tangent and a chord is equal to the angle in…

A: To prove the theorem that states that the angle between a tangent and a chord is equal to the angle…

Q: Is there a regular polygon whose angle at the center is 7°30'?

A: We have given the central angle 7°30'. In terms of degrees, 7°30' = 7° + 0.5° = 7.5°. The central…

Q: Explain why the distance between a point and a line is the length of the line segment from the point…

A: It a simple concept that to find distance of point from a line segment, we have to calculate the…

Q: What is the approximate length of line segment AB

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Q: If two medians of a triangle are equal , prove analytically that the triangle is isosceles .

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Q: Find the positive angle less than 360 degree that is coterminal with a 1226 degree angle.

A: Angle = 1226 mod 360