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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 the segment connecting midpoints of 2 sides of triangle?
The segment connecting the midpoints of two sides of a triangle is known as the midsegment. This midsegment is parallel to the third side of the triangle and its length is half that of the third side. It effectively divides the triangle into two smaller triangles that are similar to the original triangle. Additionally, the midsegment plays a crucial role in various geometric properties and constructions.
What are the 3 lines of a triangle called?
The three lines of a triangle are called its sides. Each side connects two vertices of the triangle, forming the shape. The points where the sides meet are known as the vertices of the triangle.
Which line segment could be a mid segment of ABC?
To determine which line segment could be a midsegment of triangle ABC, look for the line segment that connects the midpoints of two sides of the triangle. The midsegment will be parallel to the third side and its length will be half that of the third side. If you have specific line segments to consider, check if they meet these criteria.
What is a segment whose endpoints are the midpoints of the two sides?
Moderates
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.
What is the segment connecting midpoints of 2 sides of triangle?
The segment connecting the midpoints of two sides of a triangle is known as the midsegment. This midsegment is parallel to the third side of the triangle and its length is half that of the third side. It effectively divides the triangle into two smaller triangles that are similar to the original triangle. Additionally, the midsegment plays a crucial role in various geometric properties and constructions.
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).
