![]() ![]() ![]() False Tessellations have been used by various cultures in decorating what familiar objects?ĭ. False What is a semi-regular tessellation? a tessellation that contains more than one type of regular polygons What number of sides does a polygon have to have to be able to form a regular tessellation? 3, 4, or 6 True or False? Only regular polygons with an even number of sides can make a regular tessellation. False What has been the primary use of tessellations for the past five thousand years? To decorate important buildings What is a tessellation? an arrangement of repeating shapes which leaves no spaces or overlaps between its pieces What is a regular tessellation? a tessellation that uses only one regular polygon to cover a surface completely True or False? It's possible to create a regular tessellation with a regular heptagon. Reflectional symmetry True or False? When an image has a point of symmetry, then any line containing that point will be a line of symmetry. False _ is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane. False True or False? Reflectional symmetry is the quality a design has if it maintains all characteristics when it is rotated about a point lying in its plane. the same distance What shape do any three same-colored points make about the point of symmetry? a triangle What shape do any four same-colored points make about the point of symmetry? a square True or False? Translation symmetry refers to symmetry that applies to more than one object. Any three same-colored points that move together are _ _ _ from the point of symmetry. What is rotational symmetry? the quality a design has if it maintains all characteristics when it is rotated about a point What is a point of symmetry? a point around which a shape can be rotated without changing any of its characteristics What does it mean when a design has two-fold symmetry? That the design, when rotated only to two specific places, maintains its characteristics. How do you recognize a line of symmetry? look for a line that divides the original image into two congruent parts What is the relationship between the number of lines of symmetry in a regular polygon and the number of sides it has? The amount of lines of symmetry a regular polygon has and that number of sides that is has is equal. What is reflectional symmetry? the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane What is a line of symmetry? A line that divides a design so that every point on one side of the line coincides with a point on the other side of it. False What visual effect does a double-sided mirror produce? It produces reflectional symmetry. True True or False? To find the bisector of a given angle using a paper folding construction, it requires you to first create a triangle using the given angle. True True or False? To find a segment perpendicular to a given segment and through a given point, fold a piece of paper so that the fold goes through the point, and the pieces of the segment on either side of the fold match up. Marking points True or False? Many of the same constructions the Greeks performed only with a straightedge and compass can be done using only a straightedge and tracing paper. Folding the paper and aligning marks seen through the paperĬ. ![]() Creating arcs and circles with the compass A. Measuring line segments by folding the paper and matching the endpointsĭ. Folding the paper and aligning marks seen through the paperī. Drawing a perpendicular line segment from a given point to a given segment Which of the following are techniques used in geometric constructions with paper folding?Ī. ![]() Drawing a perpendicular line segment through a given point on a given segmentĭ. Drawing a perpendicular line segment from a given point to a given segment B. Constructing a circle with a radius from a given line segmentī. False Which of the following constructions can be accomplished with paper folding?Ī. How do you find a segment perpendicular to another segment and through a given point using paper folding? fold the paper so that the paper is folded through the point and the segment lies on top of itself How do you find the bisector of the angle? fold the paper so that the rays that make up the angle lie directly on top of one another True or False? To find the midpoint of a segment, first mark a point not on the segment, then fold the paper so that the point you marked and a point on the line are included in the fold. ![]()
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