Geometry: The Line and the Circle,
Geometry: The Line and the Circle, 10. Prove that the triangle formed by joining the midpoints...
Prove that: A line passing through the midpoints of two sides of a triangle is parallel to and half the length of the third side of the triangle.
Prove If equilateral triangles are constructed on the sides of any triangle, the segments joining the ertices of the original triangle to the opposite vertices of the equilateral triangle are concurrent.
GEOMETRY IA A triangle is formed by the intersection of the lines y = 0, y = -3x +3, and y = 3x + 3. Is the triangle equilateral, isosceles, or scalene? Graph the lines on grid paper to find the vertices of the triangle HHHHH -5-4-3-2-1 1 2 3 4 5
7. State and prove the Law of Sines for triangles in Euclidean geometry. 8. Assume Euclidean geometry. Fix a circle and let AB and CD be two chords of the circle that intersect at point P. Prove that AP × PB = CP × PD (one both sides of the equation you are multiplying the lengths) 7. State and prove the Law of Sines for triangles in Euclidean geometry. 8. Assume Euclidean geometry. Fix a circle and let AB and...
Proof that: The line joining the midpoints of the diagonals of a trapezoid has length equal to half the difference of the bases.
10. Write a Python program to check if a triangle is equilateral, isosceles or scalene. An equilateral triangle is a triangle in which all three sides are equal. A scalene triangle is a triangle that has three unequal sides An isosceles triangle is a triangle with (at least) two equal sides
please prove Theorem 5.8 (Converse to the Isosceles Triangle Theorem). If two angles of a triangle are congruent to each other, then the sides opposite those angles are congruent.
if O any point within the triangle ABC and P,Q,R are midpoints of the sides AB,BC,CA respectively prove that OA+OB+OC=OP+OQ+OR
Question 1. Prove the converse of the isosceles triangie theorem: if a triangle has two angles equal, then the sides opporite the oqual angles are equal
42. Prove that the perpendicular bisectors of the sides of a triangle are concurrent. (Hint: Let O be the intersection of two of the perpendicular bisectors. By finding congruent triangles, prove that the line through O perpendicular to the third side is also a bisector.)