By Euclid

By Kennedy And Keelyn

REal Life


The Elements

The 2 horizontal lines are parrellel beacuase they don't intersect and they are on the same plane. The vertical line is a perpendicular transversal because it intersects both of the parrellel lines. The vertical line is perpendicular to the horizontal line because vertical lines are always perpendicular to horizontal lines.


Parallel Lines with Perpendicular Transversal 

Parrellel Lines With No Transversal A-2

The two lines marked are parrellel because they don't intersect. There aren't any lines that intersect the parrellel lines so therefore there is no transversal.

Parrellel Lines With A Non-Prependicular Transversal A-3

The horizontal lines at the top of the bricks are parrellel to one another because they don't intersect. The hand rail is a transversal because it intersects the two parrellel lines. 

Vertical Angles Formed By Intersecting Lines B-1

Vertical angles are a pair of oppisite angles that are congruent and made by intersecting lines. The criss-cross gate bars make  congruent pairs of vertical angles. 

Concentric Circles C-1

Concentric circles are circles that share a center. The outter circle around the lock and inner circle around the key slot are concerntric because they share a center (which is the key slot.)

Concentric Squares C-2

These squares on the table's doors are concentric beacause they share a common center.

Circumscribed Angle D-3

A circumscribed angle is an angle whose legs are tangent to a circle. Here the two pencils are tangent to the Las Olas sticker. Therefore  the angle that it creates is a circumscribed angle.

A plantonic solid is a 3D solid with regular polgons as faces. This cube for example has 6 congruent sqaure faces so it is a plantonic solid.

Platonic Solid F-3


fUN FACT: Plantonic solids were named after Plato, a famous greek philospher.

Central Angle In A Circle G-1

A central angle is an angle whose vertex is the center of the circle. The hands of the clock make up the angle. The center of the clock (the circle) is where the hands meet. The angle's vertex is where the hands meet which is the center. 

Circle With >7 Diameters H-3

The diameters of the bike tire are the spokes of the tire. They are the diameters because they cut through the white and red center.

Cylinde I-1

A cylinder is a 3D solid with 2 congruent cicular faces joined to together by two parrellel lines. The parrellel lines are the edges of the bottle while the 2 congruent circles are the top of the cap and the bottom of the bottle. 

Sphere I-2

A sphere is a ball like shape with all ponts equidistant around a center in space. This golf ball is a 3D ball like shape whose points are all equidistant from the center, therefore is a perfect sphere.

Quad That's Equiangular But Not Equilateral K-2 

A Quad is a four, straight sided closed shape, just like this piece of ply wood. The ply wood is equiangluar because it has 4 congruent right angles, but it's side lengths are not congruent (equal in length.)

30-60-90 Triangle L-2

A 30-60-90 triangle is a right triangle with a 30˚ angle and 60˚ just like this triangle found on the hinge of a door.

Reflection N-1

 A reflection is when a certain pre-image is reflected over a into a line to create a new image. The preimage of this reflection transformation are the trees on the land. The line of reflection is where the water meets the shore and the image is the image of the trees in the water. 

Parabola M-2

A parabola is a curved line noramally displayed on a graph using points X and Y. The slope of my dog's ear is considered a parabola.

Congruence Transformation O-1

The two push bottons are an example of a congruence transformation. The one on the left is the pre-image and on the right is the image. There is only a translation between these two bottons which means both angle measures and side lengths were preserved. When angle measures and side lengths stay the same then it's a congruence transformation. 

Similarity Transformation O-2

A similarity transformation preserves angle measures and general shape. This photo of two different sized shells shows an enlargenment. The general shape, deatils and angle measures are the same but the sizes are different.