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Geometry

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Jolie Lind

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Cards in this guide (19)
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.

Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point of symmetry

False

A line has rotational symmetry

two-fold

A point of symmetry divides a design so that every point on one side coincides with a point on the other side

False

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.

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 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.

For every point on one side of a line of symmetry there is a corresponding point on the other side of the line symmetry

True.

When a line of symmetry divides an image its spells the image into two congruent parts on either side of the line symmetry

true

Is it true that a shape with rotational symmetry can be rotated around a point so that all of its characteristics are maintained

It only has rotional symmetry if it can be rotated around a point less than 360 degrees and staying the same shape like if you rotate a square 90 degrees it will be the same shape as in the beginning.. Kind of confusing

What symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane

Reflectional symmetry

Does the parallel postulate in Euclidean geometry work in spherical geometry

No.

What does not describe a rigid motion transformation

Stretch

Which of the following describes a rigid motion transformation A enlarging a photo B spinning a spinner C filling a tire with air D slicing a log into sections

Spinning a spinner.

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 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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