SOLIDS FORMED BY TRANSLATION
NAME:____________
A RIGHT SOLID HAS BASE(S) THAT ARE PERPENDICULAR TO THE EDGES CONNECTING THEM OR CONNECTING THE
BASE AND THE VERTEX OF THE SOLID . S OME RIGHT SOLIDS ARE FORMED BY TRANSLATING A TWO DIMENSIONAL
FIGURE ALONG A VECTOR THAT IS PERPENDICULAR TO THE PLANE IN WHICH THE FIGURE LIES.
Identify and sketch the solid formed by translating a horizontal rectangle vertically.
To help visualize the solid formed, let a playing card represent the rectangle, and lay it flat on a
table so that it is horizontal. To show the translation of the rectangle vertically, stack other
cards neatly, one by one, on top of the first.
What type of solid is formed?
What type of solid would be formed if you translated a horizontal triangle vertically?
Repeat this process with a roll of coins.
What type of solid is formed?
Application and Practice
Identify and sketch the solid formed by translating a vertical two dimensional figure
horizontally.
Are these solids formed right solids? Explain your reasoning.
SOLIDS FORMED BY TRANSLATION
NAME:____________
AN OBLIQUE SOLID HAS BASE (S) THAT ARE NOT PERPENDICULAR TO THE EDGES CONNECTING THE TWO BASES
OR VERTEX . AN OBLIQUE SOLID CAN BE FORMED BY TRANSLATING A TWO - DIMENSIONAL FIGURE ALONG AN
OBLIQUE VECTOR THAT IS NEITHER PARALLEL NOR PERPENDICULAR TO THE PLAN IN WHICH THE TWODIMENSIONAL FIGURE LIES .
Identify and sketch the solid formed by translating a horizontal rectangle along an oblique
vector.
Let a playing card represent the rectangle. Lay it flat on a table so that it is horizontal. To show
the translation of the rectangle along an oblique line, stack other cards one by one on top of
the first so that the cards are shifted from the center of the previous card the same amount
each time.
What type of solid is formed?
Application and Practice
Identify and sketch the solid formed by translating a vertical two dimensional figure
horizontally.
Identify each solid as right, oblique, or neither.
Can a pyramid with a square base be formed by translating the base vertically? Explain your
reasoning.