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Ch 5 Geometry

Ch 5 Terms and Conjectures

QuestionAnswer
What is the sum of the interior angles of a quadrilateral? 360 degrees
What is the sum of the interior angles of a pentagon? 540 degrees
What is the sum of the measures of the interior angles of any n-gon? 180*(n - 2) OR 180*n - 360
What is an n-gon? A polygon with the number of sides equal to 'n'
For any polygon, what is the sum of the measures of the exterior angles? 360 degrees
For an equiangular polygon, what is the formula for the measure of each interior angle? 180 - (360/n) OR 180*(n - 2))/n
Which two angles in a kite are congruent? the nonvertex angles
In a kite, which diagonal is bisected? the diagonal connecting the nonvertex angles
In a kite, which diagonal is a perpendicular bisector? the diagonal connecting the vertex angles
In a kite, which 2 angles are bisected by the diagonal connecting them? the vertex angles
In a kite, the diagonals intersect at what angle? right angle or 90 degrees; diagonals are perpendicular
In a trapezoid, which angles are supplementary? the consecutive angles between the bases
Base angles are congruent in what kind of trapezoid? isosceles trapezoid
How are the diagonals of an isosceles trapezoid different from diagonals in other trapezoids? they are congruent in isosceles trapezoids
What divides a triangle into four congruent triangles? the 3 midsegments of a triangle
What is the length of the midsegment of a triangle? half the length of the third side
What does the midsegment of a triangle have in common with the third side? it is parallel to the third side; it has the same slope
What is the length of the midsegment of a trapezoid? the average of the length of the two bases
What is parallel to the bases of any trapezoid? the midsegment of that trapezoid
In a parallelogram, which angles are congruent? opposite angles
In a parallelogram, which angles are supplementary (add up to 180 degrees)? consecutive angles
Which quadrilateral's two pairs of opposite sides are congruent? parallelogram
In a parallelogram, what does each diagonal do to the other? bisect
What quadrilateral is formed when two pairs of parallel lines intersect each other, and both pairs are the same distance apart? Hint: think of the 2 sides of a ruler rhombus
Which parts of a rhombus are perpendicular bisectors? diagonals
What is an equiangular rhombus? square
What is an equilateral rectangle? square
What is an equilateral parallelogram? rhombus
What is an equiangular parallelogram? rectangle
In which quadrilateral are the angles bisected by the diagonals? rhombus (and square)
In which quadrilateral are the diagonals congruent? rectangle and isosceles trapezoid (and square)
Which quadrilateral's diagonals are perpendicular, bisect each other, and are congruent? square
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