a picture of these three.
(a) Circumcentre : Draw perpendicular bisectors of the three
sides. The point where they meet is the Circumcentre. (b)
Orthocentre : Draw the perpendiculars from the third vertex for
each of the three sides. The point where they meet is the
Orthocentre. (c) Incentre : Draw angle bisectors for each of the
three angles. The point where they meet is the Incentre.
Why do perpendicular bisectors of the three sides of
a triangle all meet at a single point? and also why
do angle bisectors of the three sides of a triangle all
meet at a single point ?
Prove the following theorem:
In a Pasch geometry, a quadrilateral is a convex quadrilateral
if and only if the vertex of each angle is contained in the
interior of the opposite angle.
Match the words with the correct
definition.
Perpendicular
Parallel
Colinear
Fix
Horizontal
Definitions
Defines a location and size for an entity.
Aligns two entities.
Defines two entities as 90 degree apart.
Defines a line in the X direction.
Defines an entity equidistant from another entity.
A convex polygon is defined as a polygon where all its internal
angles are less than 180 degrees and no edges cross each other. You
can assume the vertex with the smallest x-coordinate (assuming
origin at bottom left) is the first coordinate and other vertices
are numbered in a counter-clockwise direction. Figure 1 shows an
example of such a polygon where V[1] is the first polygon. For
simplicity, you can also assume all polygon vertices have distinct
x and y...
every quadrilateral tessellates the plane. However, can an
arbitrary quadrilateral such as the one shown below have all its
sides altered and still tessellate the plane? Decide which methods
described in this activity set you can use to alter the sides of
this quadrilateral and tessellate the plane. In the pictured
quadrilateral, no sides are of equal length and no sides are
parallel. For each method you use, make a template for your figure,
and determine whether or not it...
Complete exercise 9.20 from the text.
(a) Create a function called polygon that draws a polygon in a
polar plot. Your function should have a single input parameter –
the number of sides.
(b) Use a for loop to create a figure with four subplots…You
should use the function you created in part (a) to draw each
polygon. Use the index parameter from the for loop to specify the
subplot in which each polygon is drawn, and in an expression...
The following conditional statement is true.All of the sides of a quadrilateral are congruent if it is a
rhombus.Which of the following statements must also be true?a) If not all of the sides of a quadrilateral are congruent,
then it is not a rhombus.b) If a quadrilateral is not a rhombus, then all of its sides
are not congruent.c) If a quadrilateral is a rhombus, then not all of its sides
are congruent.d) If all of the sides of a...