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Geometry

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Bradly Kertzmann

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Cards in this guide (23)
The point line and pair of intersecting lines are special types of conic sections

True

If a right circular cone is intersected by a plane only at its vertex what shape is produced

The intersection will consist of only one point.

Tessellations have been used by various cultures in decorating what familiar objects

A.BuildingsB.ClothingC.Manuscripts

D. All of the above

The answer is D all of the above

A point of symmetry is a point around which a shape can be rotated without changing any of its characteristics

If it says rotated it's true

If it says reflected it is false

You can bisect an angle using the paper folding technique

Yes, you can bisect an angle using the paper folding technique.

To find the bisector of a given angle using a paper folding construction does it requires you to first create a triangle using the given angle

False!

You cannot tessellate seven sided polygons by themselves

True.

Which of the following are the tools which allowed the Greeks to exploit the five basic postulates of Euclidian geometry

Straightedge

Compass

One can find an angle bisector using a compass and a straightedge construction or a straightedge and tracing paper construction

True -

To find a segment parallel to another segment through a given point using paper folding techniques

Fold the paper so the line is on itself.

Fold this folded edge on itself causing a crease to form that goes through the point in question,

You are using the theorem that lines perpendicular to the same line are parallel.

To find the midpoint of a segment fold the paper so that the two endpoints of the sement match up

If you fold the line segment in half so that the two ends are touching and then crease the paper, the crease will go right through the midpoint of the line segment.

What best describes a line of symmetry

An image or thing that can be divided equally by one or more lines, and look the same on each side.♥

Is it possible to create a regular tesselation with a regular polygon

Certain polygons, yes. Squares, Triangles and Hexagons are all shapes which, in their regular form, can tessellate.

Other polygons cannot.

What is the best definition of a conic section

the figure defined by intersection of a cone and a plane.

What is produce when you slice a cone with a plane that passes through only one nappe but not parallel to the edge of the cone

An ellipse which, when the plane is perpendicular to the axis of the cone, becomes a circle.

What does not describe a rigid motion transformation

Stretch

Which transformations will result in an image that maps onto itself

Rotate 360 degrees

What is the number of sides a polygon can have to form a regular tessellation

It can have 3, 4 or 6 sides.

If a tessellation is regular how many sides can the regular tessellation have

It can have 3, 4 or 6 sides.

What kind of angle is created by the intersection of two perpendicular lines ray or line segments

A right angle.

What is not a characteristic of of a perpendicular bisector

is parallel-apex

If a shape is a regular hexagon with six sides must be true

A regular hexagon has 6 equal sides and 6 equal angles

If a right circular cone is intersected by a plane only at its vertex as in the picture below what shape is produced

The answer will depend on the angle formed between the plane and the axis of the cone. Since there is no picture "below" it is not possible to determine that and therefore it is impossible to give an answer.

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