Question

using a square dot sheet draw a rectangle and construct a similar figure find the perimeter and areas of both and compare their ratios with the ratio of their coressponding side

Answer 1

Triangle A closed figure consisting of three line segments linked end-to-end. A 3-sided polygon.
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Vertex The vertex (plural: vertices) is a corner of the triangle. Every triangle has three vertices.


Base The base of a triangle can be any one of the three sides, usually the one drawn at the bottom.

• You can pick any side you like to be the base.
• Commonly used as a reference side for calculating the area of the triangle.
• In an isosceles triangle, the base is usually taken to be the unequal side.


Altitude The altitude of a triangle is the perpendicular from the base to the opposite vertex. (The base may need to be extended).
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• Since there are three possible bases, there are also three possible altitudes.
• The three altitudes intersect at a single point, called the orthocenter of the triangle.


Median The median of a triangle is a line from a vertex to the midpoint of the opposite side.
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• The three medians intersect at a single point, called the centroid of the triangle.
• Each median divides the triangle into two smaller triangles which have the same area.
• Because there are three vertices, there are of course three possible medians.
• No matter what shape the triangle, all three always intersect at a single point. This point is called the centroid of the triangle.
• The three medians divide the triangle into six smaller triangles of equal area.
• The centroid (point where they meet) is the center of gravity of the triangle
• Two-thirds of the length of each median is between the vertex and the centroid, while one-third is between the centroid and the midpoint of the opposite side.
• m=2b2+2c2−a24−−−−−−−−−√m=2b2+2c2−a24, where aa, bb and cc are the sides of the triangle and aa is the side of the triangle whose midpoint is the extreme point of median mm.