Properties of Translations CH. 9 REVIEW Properties of Translations

Powerpoint Jeopardy 10 20 30 40 50 Translations Reflections Rotations Dilations Symmetry 10 20 30 40 50

Translations – 10 points Name the vector and write its component form. Category 1 - 10

Write the rule and the translation Vector for the give translation. Transformations – 20 points Category 1 - 20

Mary says: “Translations are isometries.” Is she correct in her thinking? Be specific. why or why not? Translations – 30 points

Translations – 40 points The vertices of ΔABC are A(2,3), B(1,0), and C(-2,4). Graph the image of ΔABC after the translation (x,y)  (x+3,y-2) Translations – 40 points

Translations – 50 points The vertices of ΔDEF are D(-6,7), E(-5,5), and F(-8,4). Graph the image of ΔDEF after the translation using the vector -1,-6. Translations – 50 points

What would the word read across the line l? How about across the line m? Rotations – 10 points

Reflections – 20 points

The image of the point (-5,4) under a reflection across the y-axis is (?,?). Reflections – 30 points

Reflect the image across the line x = 1 Reflections – 40 points

Reflect the image across the line y=x Reflections – 50 points

TRUE OR FALSE: Rotations – 10 points

Graph the image after 180 rotation Rotations – 20 points

What is coordinate rule for rotating a figure 270 about the origin What is coordinate rule for rotating a figure 270 about the origin? (a,b)  ( ?, ?) A(1,-4) A’(?,?) B(4,-4) B’(?,?) C(4,-2)  C’(?,?) D(1,-2)D’(?,?) Then find A’,B’,C’, and D’ Rotations – 30 points

Rotations – 40 points (a,b)  ( ?, ?) A(-1,-1) A’(?,?) Rotate the blue triangle 90 about the origin and graph the new image. Then list the vertices of the new image. (a,b)  ( ?, ?) A(-1,-1) A’(?,?) B(2,-1) B’(?,?) C(2,3)  C’(?,?) Rotations – 40 points

Rotations – 50 points (a, b)  (?,?) The red triangle has been rotated about the origin how many degrees? (a, b)  (?,?) Rotations – 50 points

Are dilations isometries? Explain why or why not. Dilations – 10 points

Dilations – 20 points

Dilation – 30 points

Under a dilation with a scale factor of 3 Under a dilation with a scale factor of 3. Graph the new image and list the coordinates A’, B’, and C’. Dilations – 40 points

Find the scale factor. Tell whether the dilation Is a reduction or an enlargement. Find the value of x. Dilations– 50 points

Which of the following lettered items possesses line symmetry Which of the following lettered items possesses line symmetry? List all that apply. Symmetry – 10 points

Which of the following lettered items have rotational symmetry Which of the following lettered items have rotational symmetry? List all that apply? Symmetry – 20 points

Determine whether or not the dodecagon has line and/or rotational symmetry. If it has line symmetry, draw in and identify how many lines of symmetry does it have has. If it has rotational symmetry, identify the angles for which it has rotational symmetry. Symmetry – 30 points

a) What is the smallest degree a regular n-gon can turn until it would rotate back onto itself? b) What it the relationship between the number of side of a regular polygon to the number of lines of symmetry? What is the smallest degree you could rotate a 180-gon, so that it would rotate onto itself? Symmetry – 40 points

Use the description to draw a figure Use the description to draw a figure. If not possible, write not possible and explain why? a) A triangle with exactly 2 lines of symmetry b) A quadrilateral with exactly 1 line of symmetry c) A hexagon with no rotational symmetry d) A hexagon with exactly 1 line of symmetry Symmetry – 50 points