Geometry Flashcards

1
Q

collinearity

A

Collinear. Three or more points , , , …, are said to be collinear if they lie on a single straight line. . A line on which points lie, especially if it is related to a geometric figure such as a triangle, is sometimes called an axis. Two points are trivially collinear since two points determine a line.

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2
Q

Can we assume that a line is straight if the line goes through points A & B & C?

A

if the line goes through points A & B & C, and it looks like those three points are “collinear,” then they indeed are, and the line is straight.

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3
Q

What is a regular polygon?

A

regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length). Regular polygons may be either convex or star.

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4
Q

What is a convex quadrilateral?

A

A convex quadrilateral is a four sided polygon that has interior angles that measure less than 180 degrees each.

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5
Q

What does it mean to inscribe a polygon?

A

To inscribe a polygon in a circle, the polygon is placed inside the circle so that all the vertices of the polygon lie on the circumference of the circle.

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6
Q

What can we conclude when we know that two sides are equal to each other in a triangle?

A

That the two angles of the side with equal length that toch the third side are equal too.

–> and vice versa (from equal angles to equal sides)

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7
Q

What is there to know abou the surface area of small and large objects

A

Small or thin objects have a large surface area compared to the volume. This gives them a large ratio of surface to volume. Larger objects have small surface area compared to the volume so they have a small surface area to volume ratio.

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