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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.
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.
Is the length of the median of a trapezoid is the average of the length of the bases?
If it is the line joining the midpoints of the parallel sides it most certainly is not.
What is the line symmetry of an isosceles trapezoid?
An isosceles trapezoid has 1 vertical line of symmetry
How many parallel line segments in triangle and its midpoint triangle?
Three pairs. The line joining the midpoints of any two sides of a triangle is always parallel to the third side of the triangle (and half its length).
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 the midpoints the vertices of a rectangle?
No- the vertices of a rectangle are the four coordinates (corners) not the midpoints.
What is the Line that connects the midpoints of a figure?
A line that connects the midpoints of a figure is a midsegment.
What is a median median line?
It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.It is the line joining the midpoints of two sides of a polygon - usually a triangle. This line will be parallel to the third side. The three median-median lines will divide any triangle into 4 congruent triangles that are similar to the original.
What is the midpoint theorem?
Triangle Midpoint 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.
Lines of symmetry a rectangle has?
Only two, from the midpoints to midpoints of each of the two facing sides.
Proof for the midpoint theorem 7.5?
The midpoint theorem says the following: In any triangle the segment joining the midpoints of the 2 sides of the triangle will be parallel to the third side and equal to half of it
