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52 Cards in this Set

  • Front
  • Back
Dihedral Angles
The angle between two planes.
True angle between planes

Using auxiliary view to find the actualangle measurement between two intersecting planes.

Point of intersection

The point in which multiple linesegments should meet.

Bisecting an angle
- A method of finding the incenter orcircumcenter of a triangle.
rectified length

- Determining the length of an irregulararc segment.

skewed

A sudden change in direction on a linesegment.

oblique plane

A plane which declines from the zenith,or inclines toward the horizon.

Helix

A smooth space curve, i.e. a curve inthree- dimensional space that has the property that the tangent line at anyline at any point makes a constant angle with a fixed line called the axis.

Rectangular polygon

a geometric shape having all sides equalin length and all angles equal.

involute

The locus of a point considered as the end of a taut string being unwound from a given curve in the plane of that curve.

quadrilateral

a polygon with 4 edges, sides, vertices,and corners.

ellipse

- is a closed curve in the form of asymmetrical oval with four quadrants.

hyperbola

- a type of smooth curve, lying in aplane, defined by its geometric properties or by equations for which it is thesolution set.

parabola

the curve formed from all the pointsthat are equidistant from the directrix and the focus.

eccentric circle

- circles that do not share the same center although the centers of each circle are all contained within at least one of the circles.

tanget

- a line, arc, or circle that comes into contact with a circle or arc at anypoint.

prism

apolyhedron with an n-sided polygonal base, another congruent parallel base andn other faces joining corresponding sides of the two bases.

cylinder

surfaceformed by the points at a fixed distance from a given straight line, the axis.

bisecting

-dividing an object into two equal parts of size or length.

equilateral triangle

Trianglewith all side lengths equal, with all interior and exterior angles congruent.

Pentagon

-a five-sided geometric figure with each side forming a 72° angle.

Hexagon

-a six- sided figure with each side forming 60° angles.

Octagon

isan eight sided geometric figure with all angles forming 45°.

Acute Triangles
No interior angle is less than 90°
Equilateral triangle

All sides and anglesequal.

isosceles triangle

Two sides and twoangles equal

acute scalene triangle
No sides or angles equal.
obtuse triangle

One angle is greater than 90°

obtuse isosceles triangle
In an acute triangle, all angles are less than right angles—each one is less than 90 degrees.
obtuse scalene triangle

Right triangle

One90° interior angle

square

- All equal sides 90°internal angles.

rectangle

Opposite sides equal90° internal angles.

rhombus

- Equal sides.

rhomboid

- Opposite sides equal

trapezoid

Two parallel sides

trapezium

No parallel sides

pentagon

- Five equal sides,five equal angles.

hexagon

Six equal sides, sixequal angles.

heptagon

- Seven equal sides,seven equal angles.

octagon

Eight equal sides,seven equal angles.

A dihedral angle is the true angle between two intersecting planes

A dihedral angle is found in the view in which both intersecting planes appear as an edge

the point of intersection of a line and plane is in the view where the plane appears as an edge

laying out a curved surface as a straight line will give you the rectified length.

When you take a point and rotate itaround an axis while moving along the axis you will create a helix.



A parabola is created when a plane intersects a right circular coneparallel to the side of the cone.



A hyperbola is created when a planeintersects a right circular cone parallel to the center line of the cone.



A plane intersecting a cone as shown creates what geometric shape?
Parabola
A straight line that passes through a circle and intersecting it at two different points is called a:
Chord
Any polygon may be drawn if the number of sides and the distance across the flat is known.
True
If a line from the center of a circle were to connect to a line at the point at the point of tangency on the circle, the line and the line from the center circle would form a 90° angle.
True