chap 11 (polygons & geometrical construction)
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36 Terms
is an equilateral triangle also an isosceles? explain.
yes. an isosceles triangle has at least two sides that are equal. hence, an equilateral triangle which has three sides equal is also an isosceles triangle.
the sum of interior angles of a triangle is 180 degrees, what is the abbreviation used for reasoning angle questions with this property involved.
(angle sign) sum of triangle
when proving that the base angles of an isosceles triangle are both the same, what is the abbreviation used for reasoning angle questions with this property involved.
base (angle sign)s of isosceles triangle
an exterior angle of a triangle is equal to the sum of the interior opposite angles, what is the abbreviation used for reasoning angle questions with this property involved.
exterior (angle sign) of triangle
the sum of interior angles of a quadrilateral is 360 degrees, what is the abbreviation used for reasoning angle questions with this property involved.
(angle sign) sum of quadrilateral
each interior angle of a rectangle is 90 degrees, what is the abbreviation used for reasoning angle questions with this property involved.
(angle sign)s in a rectangle
the opposite angles of a parallelogram are equal, what is the abbreviation used for reasoning angle questions with this property involved.
opposite (angle sign)s of a parallelogram
each interior angle of a square is 90 degrees, what is the abbreviation used for reasoning angle questions with this property involved.
(angle sign)s in a square
the base angles of a isosceles trapezium is equal, what is the abbreviation used for reasoning angle questions with this property involved.
base (angle sign)s of isosceles trapezium
the opposite angles of a rhombus are equal, what is the abbreviation used for reasoning angle questions with this property involved.
opposite (angle sign)s of a rhombus
look at the picture, angle OAB is equal to angle ABO, what is the abbreviation used for reasoning angle questions with this property involved
diagonals bisect at 90 degrees
look at the picture, angle ABO is equal to angle CBO, what is the abbreviation used for reasoning angle questions with this property involved
diagonal bisects (angle sign)s
look at the picture, angle ADC is equal to angle ABC, what is the abbreviation used for reasoning angle questions with this property involved
opposite (angle sign)s on shorter diagonal of a kite
look at the picture, angle DAC is equal to angle BAC, what is the abbreviation used for reasoning angle questions with this property involved
longer diagonal bisects (angle sign)s
Are there isosceles triangle(s) are on a kite
2, so two pairs of the adjacent sides are equal
the longer diagonal of a kite bisects the other diagonal at…
90 degrees
are the lengths of each side of a rhombus same?
they are all the same length
do the diagonals of a parallelogram bisects its angles
no
what is a regular polygon
a polygon with all sides equal and all interior angles equal
what is the formula to finding the sum of interior angles of a POLYGON
sum of interior angles = (n-2) x 180 degrees where n is the no. of sides of a polygon
what is the formula to finding the size of one interior angle of a REGULAR polygon
size of one interior angle = (n-2) x 180 degrees/n
how many sides are there to a octagon
8
how many sides are there to a decagon (deh-kuh-gon)
10
how many sides are there to a hexagon
6
how many sides are there to a nonagon
9
how many sides are there to a pentagon
5
each interior angle of a regular polygon is 170 degrees. how many sides does the polygon have?
sum of exterior angles of a polygon is…
360 degrees
what is the formula to find the size of each exterior angle of a regular polygon
360 degrees/n
look at the picture
construction of a triangle given the length of 1 side and 2 angles
construction of a triangle given 3 sides
construction of a triangle given the length of 2 sides and 1 angle
construction of a quadrilateral with 4 different sides and an angle
construction of a quadrilateral with 4 different sides and a diagonal
construction of a quadrilateral with 3 different sides and 2 included angles
Note 
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