Polygons
A polygon with six sides.
What is a hexagon?
What type of angles are consecutive and opposites in parallelograms?
consecutive-supplementary, opposites are congruent
T/F: A parallelogram has diagonals that are congruent.
False...diagonals bisect
A trapezoid has base lengths of 14 and 17. Determine the length of it's midsegment.
14+17=31/2=15.5
Will lines with slopes of 2/3 and -2/3 be parallel, perpendicular, or neither?
Neither
The sum of exterior angles of a 25-gon.
What is 360?
In parallelogram WXYZ, angle X measures 65. Determine the remaining angles.
Z=65, W=Y=115
T/F: A rhombus must have 4 right angles.
False...rect/square
Determine the slope of the segment with endpoints (1, -5) and (-2, 7)
12/-3=-4
What slope is perpendicular to 3?
-1/3
The sum of interior angles of a 17-gon.
What is 2700?
In quadrilateral ABCD. Angle A is congruent to angle C. Can we assume it is a parallelogram?
NO. Both opp angles need to be congruent.
A, S, N: A rhombus is ___________ a trapezoid.
NEVER
Determine the midpoint between points (-4, 1) and (2, 5)
(-1, 3)
What missing coordinate could make the triangle an isosceles triangle? A(0, -11), B(10, 0), C?
C=(0, 11) OR (-10,0)
The measure of an interior angle of a 24-gon
What is 165?
DAILY DOUBLE!!!!! What's your wager?
In parallelogram RSTU, R measures 12x and S measures 6x. Determine the measures of angles R and S.
A, S, N: A square is _____________ a rectangle.
ALWAYS
Determine the distance between the points (7, 3) and (4, -2).
5.83
Segment AB has endpoints at (6, -1) and (-2, 9). Segment CD has endpoints at (-3, 10) and (1, 5).
What are the slopes of each and are they parallel or perpendicular?
slopes both -5/4...PARALLEL
What are the differences of polygons, regular polygons, and not polygons?
polygon-closed figure with straight lines
Regular-equiangular and equilateral
not poly-not closed, curved lines
There are three parallel lines cut by two transversals. One transversal shows congruent segments between the parallel lines. The other transversal has a segment 3x+12 and another segment 9x-24. What are the lengths of the segments?
x=6, so 30 for the segments
Isosceles trapezoid ABCD, with AB||CD, has angle A measuring 91. Determine the remaining angle measures.
B=91, C=D=89
How could I determine if a quadrilateral that looks to be a parallelogram on the coordinate plane is truly a parallelogram? Name all necessary checks and needed formulas!
Use slope form to check opp sides parallel and then distance formula to check opp sides congruent.
Triangle ABC looks to be isosceles, with AB and BC appearing to be congruent. A(-1, 2), B(1, 5), C(3, 3). Determine the lengths of AB and BC. Is ABC isosceles?
AB=3.61
BC=2.82
NOT isosceles