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Translation Geometry problems

Translation Coordinates and Graph of Translated Image example question

Find the coordinates and the translated graph of A(-2, 3), B(4, -5), and C(0, 3) by following the rule of translation:

(x, y) → (x – 5, y + 6).

 

Solution to this Translation Geometry practice problem is given in the video below!


 


Finding Coordinate RULE of Translation given Graph of Translated Image example problem

Find the coordinate rule for the translation shown in the graph below.

 

Solution to this Translation Geometry practice problem is given in the video below!


 


Dilation Geometry problems

Dilation Formulas and Graph with Origin the Center of Dilation example question

Graph the triangle with vertices A(-2, 4), B(1, -4), C(-3, -2) and its image after dilation by scale factor k = -3. The center of dilation is the origin.

 

Solution to this Dilation Geometry practice problem is given in the video below!


 


Dilation Formulas and Graph with Center of Dilation NOT the Origin example problem

Graph the triangle with vertices A(-2, 4), B(1, -4), C(-3, -2) and its image after dilation by scale factor k = 2. The center of dilation is the point (4, 5).

 

Solution to this Dilation Geometry practice problem is given in the video below!


 


How to Find the CENTER of DILATION COORDINATES using Given Figure and its Image problem

Find the coordinates of the center of dilation if coordinates of original figure are (-4, 14), (-10, 16), (-12, 10), (-14, 12) and coordinates of its image are (2, 1), (3, 4), (-1, 2), (4, 3).

 

Solution to this Dilation Geometry practice example is given in the video below!


 


Reflection Geometry problems

Reflection Formulas example question

Draw the image of the polygon with coordinates A(-2, 3), B(0, 2), C(3, -4), D(4, 0) by reflecting it

a) through the y-axis

b) through the x-axis

c) through the origin

d) through the line y = x

 

Solution to this Reflection Geometry practice problem is given in the video below!


 


Rotation Geometry problems

Rotation Formulas example question

a) Draw the image of the triangle with coordinates A(-6, -6), B(-6, 3), C(-2, 3) by rotating it 90 degrees clockwise

b) Draw the image of the quadrilateral with coordinates A(-3, -3), B(-1, 0), C(3, 0), D(5, -3) by rotating it 90 degrees counterclockwise

c) Draw the image of the triangle with coordinates A(-3, 2), B(1, 5), C(0, 0) by rotating it 90 degrees clockwise

d) Draw the image of the triangle with coordinates A(1, -3), B(3, 3), C(6, -3) by rotating it 180 degrees clockwise or counterclockwise

e) Draw the image of the quadrilateral with coordinates A(-5, -2), B(-4, 5), C(2, 5), D(2, 0) by rotating it 90 degrees clockwise

 

Solution to this Rotation Geometry practice problem is given in the video below!


 


Transformation and Graphs of Functions problems

Transformation and Graphs of Functions SKETCHING example question

(a) Describe how the graph of x = f(y) relates to the graph of y = f(x)

(b) Sketch the Graphs of and

 

Solution to this Transformation and Graph of a Function practice problem is provided in the video below!



 




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