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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.
What is a segment whose endpoints are the midpoints of the two sides?
Moderates
What are the midpoints of two opposite sides in a square?
They are points that are halfway along two of the sides of a square, the sides being opposite one another.
What is a segment that helps connect the midpoints of two sides of a figure?
There is no specific name.
Can a square have a line of symmetry?
Diagonals between two opposite corners, and a vertical line between midpoints of 2 opposite sides, and a horizontal line between midpoints of the other pair of sides.
What is the definition of Mid-segment?
connects two midpoints of a triangle
A segment that joins the midpoints of two sides of the triangle?
a midsegment of a triangle
The segment joining the midpoints of two sides of a triangle is the?
midsegment
What segment joins the midpoints of two sides of a triangle?
the midsegment
If the length of the line segment joining the midpoints of two sides of an equilateral triangle is 6 the perimeter of the triangle is?
36. If the length of the line segment joining the midpoints of two sides of an equilateral triangle is 6 the perimeter of the triangle is 36.
What is the name of the segment that joins the midpoints of two sides of a triangle?
midsegment
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.
Lines of symmetry a rectangle has?
Only two, from the midpoints to midpoints of each of the two facing sides.
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 a mid-segment?
A segment that connects two midpoints of a polygon.
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).
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.
