What you will learn in this lesson. Learn some new words; speak to new people; spell plurals (words ending in 's') learn to pronounce new sounds. What do you need for this lesson? A pen / pencil, and some paper; an English dictionary. How long will it take to complete this Unit? This Unit will generally take around 1 hour to complete. Translate culturally. This is a subset of #1 — Don’t translate literally. The smallest details change when crossing a border. Remember these details, and translate not only words, but the idea behind them. A “bar” doesn’t have the same connotation everywhere.
Isaiah
(1st Quarter 2021)
Lesson 4
Memory Text:
“I will wait on the Lord, who hides His face from the house of Jacob; and I will hope in Him” (Isaiah 8:17, NKJV).Lesson 3
Memory Text:
“ ‘If you will not believe, surely you shall not be established’ ” (Isaiah 7:9, NKJV).Lesson 2
Memory Text:
“In the year that King Uzziah died, I saw the Lord sit-ting on a throne, high and lifted up, and the train of His robe filled the temple” (Isaiah 6:1, NKJV).Lesson 1
Memory Text:
“ ‘Come now, and let us reason together,’ says the Lord, ‘though your sins are like scarlet, they shall be as white as snow; though they are red like crimson, they shall be as wool’ ”(Isaiah 1:18, NKJV).
Sabbath School Books
(4th Quarter 2020)
(3rd Quarter 2020)
Go To ALL Books Related Pages
Transformations In Math
Geometric Transformations
Transformations In The Coordinate Plane
Rotation
More Geometry Lessons
What Is Translation?
In a translation transformation all the points in the object aremoved in a straight line in the same direction. The size, the shape and the orientation of theimage are the same as that of the original object. Same orientation means that the object and imageare facing the same direction.
Example:
We describe a translation in terms of the number of units moved to the right or left and thenumber of units moved up or down.
Example:
Move the object 2 units to the right and 4 units up.
Translation Represented By Column Vector Or Matrix
The translation can be represented by a column vector as.
The top number represents the right and left movement. A positive number means moving to the rightand a negative number means moving to the left.
The bottom number represents up and down movement. A positive number means moving up and anegative number means moving down.
In the following figure, triangle ABC is being translated to triangle A’B’C'
The translation is represented by the column vector.
In general, a translation can be represented by a column matrix or column vector wherea is the number of units to move right or left along the x-axis and b is the number of units tomove up or down along the y-axis.
The matrix equation representing a translation is:
where is the translation matrix and is the image of .
Example 1:
The triangle P is mapped onto the triangle Q by the translation .
a) Find the coordinates of triangle Q.
b) On the diagram, draw and label triangle Q.
Solution:
a)
b)
As a mathematical notation, we may write: T(A) = B, to mean object A is mapped onto B underthe transformation T.
Describing translations of simple shapes in the plane, using column vector notation
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How to transform a shape using a given vector?
Translation On The Coordinate Plane
Geometry Translation
A geometry translation is an isometric transformation, meaning that the original figure andthe image are congruent. Translating a figure can be thought of as “sliding” the original.If the image moved left and down, the rule will be (x - __, y - __) where the blanks are thedistances moved along each axis; for translations left and up: (x - __, y + __), for rightand down (x + __, y - __), for right and up (x + __, y + __).
- Show Video Lesson
How to translate a polygon on the coordinate plane?
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