Transformations & Polygons

How much do the three angles in a triangle sum up to (total if added together)?

180

congruent angles:

2 angles of equal value

Complementary angles:

2 angles whose sum equals 90

Supplementary angles:

2 angles whose sum is 180

How much do the angles of a quadrilateral (4 sided shape) sum up to (total if added):

360

dilation:

A transformation that enlarges or shrinks in size a 2D shape by a given factor. A factor of 2x would double the size of a shape. A factor of 1/3x would reduce the size of the shape to a third its original size. All angles are maintained and lengths of sides are scaled.

reflection:

A transformation that takes a 2D shape and creates a mirror image of it across a line of reflection (or mirror)

rotation:

A transformation which requires taking a 2D shape and rotating its position around a fixed point. The point can be a vertice of the shape or any other point on the cartesian plane.

Isoceles triangle:

A triangle with 2 sides of equal length and 2 angles of equal degrees

Scalene triangle:

A triangle with no equal sides nor any equal angles

Right angle:

An angle of 90 degrees

Transformation:

An applied change to the size, position or orientation of a 2D shape. There are 4 types of transformations (reflections, rotations, slides (translations), and dilations)

True or false, a regular polygon is a polygon with all equal sides but not necessarily all equal angles.

False

True or false. A translation line tells us.....the direction and length of the image.

False

True or false, a quadrilateral with 3 angles summing 233 degrees, must have a 4th angle equalling 36 degrees.

False, x = 127 degrees (360 - 233 =127)

True or false. A quadrilateral with 3 angles totalling 262 degrees, must have a 4th angle of 102 degrees.

False, x = 98 degrees (360 - 262 = 98)

True or false. A translation line tells us.....the shape the translated image will be.

False.

True or false. A translation line tells us....the size and direction of the image.

False.

translation:

Slide. Moving the 2D shape in a single direction for a given length. Does not involve rotating or reflecting. Object orientation stays the same, it is simply moved.

True or false? A triangle with 2 angles totalling 90 degrees, has a 3rd angle of 90 degrees.

True. All triangles have angles which sum up to 180 degrees.

An equilateral triangle

a triangle with 3 equal angles (60 degrees) and 3 sides of equal lengths

obtuse angle:

an angle which is larger than 90 degrees

acute angle:

an angle which is smaller than 90 degrees

True or false, a regular polygon is a polygon with all equal angles but not necessarily all equal sides.

false

Slide:

translation

True or false if 3 angles in a quadrilateral add up to 285, the missing angle must equal 75 degrees

true

True or false, a quadrilateral with 3 angles totalling 243 degrees has a 4th angle of 117 degrees

true

True or false, a regular polygon is a polygon with both all equal sides and all equal angles.

true

True or false. A translation line tells us.....the length and direction of the slide

true