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Geometry

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Derrick Reichert

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Cards in this guide (21)
Which of the following are not techniques used in geometric constructions with paper folding

Creating arcs and circles with the compass

Measuring lengths of line segments by folding the paper and matching the endpoints

What is considered the most famous impossible problem from Greek antiquity

The Delian Problem, doubling the cube, is considered one of the most famous impossible problems from Greek antiquity. Two others are the trisection of the general angle and the squaring of a circle.

Which of the following constructions were never accomplished by the Greeks with only a straightedge and compass



Trisecting any angle

Doubling a cube

Constructing a cube with double the volume of another cube using only a straightedge and compass was proven impossible by advanced algebra

True (APEX) - Nini :-* GOOD LUCK .

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

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

The Greeks were able to construct a cube with double the volume of another cube using only a straightedge and compass

false

The ancient Greeks were ultimately able to prove that the constructions they thought impossible were impossible

False

Only regular polygons with an odd number of sides are symmetrical

No, regular polygons with an even number of sides are also symmetrical.

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.

What tools allowed the Greeks to exploit the five basic postulates of Euclidean geometry

compass and straightedge

How many people equals 23 percent

None. 23 percent is just a number, equal to 0.23 .

23% of a group of people could be a number of people, but the number

would depend on how many people are in the whole group.

23% of anything else would not include any people.

What does A'B'C'D' mean in geometry

after the original ABCD, the A'B'C'D' means that you have done something to the original points, and they therefore can no longer be called ABCD

Which sequence of transformations will result in an image that maps onto itself

reflect across the x-axis and then reflect again over the x-axis

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

Two angles that can be trisected with a straightedge and compass are a 90 degrees angle and what other degree of angle

45 and 90 degree angles

Is not a rigid motion transformation

dilation (APEX)

If the trapezoid below is reflected across the x-axis what are the coordinates of B'

(3,-8)

Which geometric construction is shown below

doubling the square

apex quiz 3.3.2

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