Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. Every glide reflection has at least one fixed point.
2. Size transformations are the one type of transformation that does not have an identity
transformation.
3. All polygons have n reflections onto themselves.
4. If ABC is the image of ABC under a similitude, then the area of ABC is the same as
the area of ABC.
1. The reflection component of a glide reflection does not have a fixed point.
2. F: Size transformations have the identity transformation: Center 0, scale factor 1.
3. F: The polygons must be regular for this to occur.
4. F: if a component of the similitude is a size transformation with scale factor ?1.
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Solve the inequality. Express your answer using interval notation.8x - 5 > 7x - 9
A. (-?, -4]
B. [-4, ?)
C. (-4, ?)
D. (-14, ?)
Find the root if it is a real number.
A. 3 B. -3 C. 9 D. 5
Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.A rug is to fit in a room so that a border of even width is left on all four sides. If the room is 12 ft by 15 ft and the area of the rug is 108ft2, how wide will the border be?
A. 2 ft B. 3.5 ft C. 1.5 ft D. 2.5 ft
Solve the quadratic inequality by sketching the graph of the corresponding quadratic function.x2 - 4 ? 0
A. Solution: (-?, -2) ? (2, ?)
B. Solution: (-?, -2) ? (2, ?)
C. Solution: (-?, -2] ? [2, ?)
D. Solution: [-2, 2]