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