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In triangle ABC P and Q are the mid points of AB and AC prove that PQ parallel to BC?
In triangle ABC, let P and Q be the midpoints of sides AB and AC, respectively. By the Midpoint Theorem, the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and half its length. Therefore, since PQ connects the midpoints P and Q, it follows that PQ is parallel to side BC of triangle ABC. This establishes that PQ is parallel to BC, as required.
Can you draw a quadrilateral given only the midpoints of the sides and if so how?
Yes, you can, and there are infinitely many ways of doing so. 1) Connect the midpoints 2) Notice the parallelogram shape 3) Double the length of one of the sides, and draw it parallel to that side 4) Match the ends of that line to the midpoints. 5) Voila! A quadrilateral with the 4 points as midpoints.
Does a Rectangle have at least one line of symmetry?
A rectangle has two lines of symmetry, the lines that connect the midpoints of the parallel sides of a rectangle are lines of symmetry of the rectangle.
Are all teiangles have opposite sides that are parallel?
If you mean "triangle", a triangle can never have two parallel sides.If you mean "triangle", a triangle can never have two parallel sides.If you mean "triangle", a triangle can never have two parallel sides.If you mean "triangle", a triangle can never have two parallel sides.
What is the triangle midpoint theorum?
Theorem: The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side. Proof: Consider the triangle ABC with the midpoint of AB labelled M. Now construct a line through M parallel to BC.
