Question

The vertices of a triangle are A(-2 -2) B(0 2) and C(3 0). Draw the figure and its image after a translation 1 unit left and 2 units up.​

Answer 1

Answer:

Menu

About

Academic Tutoring

Test Prep

Pricing

Tutor Bios

Tutoring Jobs

Sign In

INFO & PRICES

CALL NOW

Hotmath

Math Homework. Do It Faster, Learn It Better.

Home

Translations

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

To translate the point P(x,y) , a units right and b units up, use P′(x+a,y+b) . To translate the point P(x,y) , a units left and b units down, use P′(x−a,y−b) .

Example:

Triangle ABC has vertices A(2,1),B(−6,4),  and  C(−3,−2) . If ΔABC is translated 4 units right and 3 units down, what are the coordinates of the vertices of the image ΔA′B′C′ ?

Draw the triangle ABC with coordinates A(2,1),B(−6,4),  and  C(−3,−2) .

Now we have to translate the triangle 4 units right and 3 units down. So, use the formula,

P′(x+4,y−3)

A(2,1)→A′(2+4,1−3)→A′(6,−2)B(−6,4)→B′(−6+4,4−3)→B′(−2,1)C(−3,−2)→C′(−3+4,−2−3)→C′(1,−5)

To check the answer graph and compare ΔABC and its image ΔA′B′C′ . Each image vertex is 4 units right and 3 units down from each preimage vertex.

Therefore, the coordinates of the image ΔA′B′C′ are A′(6,−2),B′(−2,1),  and  C′(1,−5) .