Math 152 Test 2
State a fact that is true for all rectangles but is not true for all parallelograms.
They have four 90 degree angles
Is it possible to draw a concave hexagon?
Yes
Is it possible to draw an equilateral quadrilateral that is not regular?
Yes
Is it possible to draw an isosceles right triangle?
Yes
Diagonal
a line segment joining 2 vertices of the polygon that are not joined by a side
Rectangle
a shape that's a square but has one unequal set of adjacent sides
Polygon
closed planar figure made up of line segments joined end to end, with no crossings or reuse of end points
The number of congruent sides on a scalene triangle is ___
0
State two facts that are true for every parallelogram.
1. They're 4 sided 2. Opposite sides are parallel
The measure of EACH interior angle of a rectangular decagon is __________ degrees
144
Straight Angle
180 degrees
Supplementary Angles
2 angles with a sum of 180 degrees
Complementary Angles
2 angles with a sum of 90 degrees
Perpendicular
2 lines or segments whose intersection creates a right angle
Acute Triangle
3 acute angles
Equilateral Triangle
3 congruent sides
What is the sum of the measures of the exterior angles, one at each vertex, of convex polygon?
360 degrees- convex polygons are always have 360 degrees
Parallelogram
4 sided shape with opposite sides parallel
If an interior angle of a regular polygon is 175 degrees, then the polygon has ______ sides
72
Right Angle
90 degrees
Is it possible to draw an isosceles trapezoid?
No, it creates more than one right angle
Is it possible to draw a rectangle that's not a parallelogram?
No- all have 4 sides that are 2 sets of parallel sides
Is it possible to draw a parallelogram with exactly one right angle?
No- it isn't parallel, it needs at least 2 right angles to be parallel
State a fact that is true for all rhombi but not true for all kites.
Rhombi have all equal side lengths
What is the best name for EVERY four-sided polygon with equal sides?
Rhombus
A rectangle is _____________ a parallelogram
always
Adjacent Angles
angles with same vertex and common side between them
Pyramid
base is a polygon and sides meet at the top in triangles
Regular Polygon
equiangular and equilateral
Isosceles Triangle
exactly 2 congruent sides
Any fact that is true for every rectangle is also true for every quadrilateral
false
Every equilateral triangle is an isosceles triangle
false
Every rectangle is a special square
false
Every rectangle is a square
false
Every trapezoid is a parallelogram
false
The interior angles of a trapezoid add up to 360 degrees, but only 270 degrees if it is an isosceles trapezoid
false
Face of Polyhedron
flat planar region
Acute Angle
greater than 0 degrees and less than 90 degrees
Reflex Angle
greater than 180 degrees and less than 360 degrees
Obtuse Triangle
measures one obtuse angle
A rhombus is ___________ a rectangle
never
Scalene Triangle
no congruent sides
Right Triangle
one right angle
Rhombus
parallelogram with opposite acute angles, obtuse angles, and 4 equal sides
Quadrilateral
polygon with 4 edges, 4 vertices, and 4 corners
Equiangular Polygon
polygon with angles of same measure
Equilateral Polygon
polygon with same size sides
Kite
shape with 2 distinct pairs of adjacent congruent sides
Square
shape with four equal straight sides and angles
Trapezoid
shape with one pair of parallel sides
Prism
solid shape with 2 congruent parallel faces
A parallelogram is _______________ a rectangle
sometimes
A scalene triangle is ______________ an acute triangle
sometimes
A square is ______________ a rhombus
sometimes
Edge of Polyhedron
straight edges where 2 faces meet
A rhombus is a kite
true
Any fact that is true for every parallelogram is also true for every square
true
Every kite is also a parallelogram
true
Every rectangle is a parallelogram
true
Every rhombus is a kite
true
Every rhombus is a parallelogram
true
Every square is a rectangle
true
Every square is a special quadrilateral
true