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Geometry

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Emilia Smitham

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Cards in this guide (21)
What is the special name for the segment that connects the center of a regular polygon to an outer edge to form the height of a triangle

apothem

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.

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 .

Trisecting a line segment by using only a straightedge and compass was proven impossible by advanced algebra

false

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

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.

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.

How do you find the bisector of a given angle using a paper folding construction

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

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

What Greek constructions were never accomplished with only a straightedge and a compass

Doubling a cube and trisecting any angle

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

Is it true that when a line of symmetry divides image it splits the image into two congruent parts

True

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.

What is One way to recognize a line of symmetry is to look for a line that divides the original image into

two congruent parts

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

It can have 3, 4 or 6 sides.

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

(3,-8)

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