Congruent or Similar?
A transformation with the sequences of transformation will result a shape to return to its original position: Rotate 270 degrees counterclockwise, then rotate 90 degrees clockwise
False
In triangle ABC, the measure of angle A=66 degrees, measure of angle B = 45 degrees. In triangle XYZ, the measure of angle Y=45 degrees and the measure of angle Z =69 degrees. The triangles are congruent because the corresponding angles have the same measure.
False
Similar figures have corresponding segments of equal measure
False
Triangle 5 and 6 must be similar, but not congruent if triangle 5 has a 45 degree angle and a 90 degree angle and triangle 6 has two 45 degree angles.
False
Triangles 1 and 2 must be similar but not congruent if they each have a 45 degree angle
False
Two isosceles triangles with two pairs of congruent angels are always congruent
False
Under a dilation of figure and it's image are always congruent
False
Under a dilation, the lengths of line segments stay the same.
False
A transformation with the sequences of transformation will result a shape to return to its original position: Reflect over line p, then reflect over line p again
True
A transformation with the sequences of transformation will result a shape to return to its original position: Translate 1 unit to the right, then 4 units to the left, then 3 units to the right
True
A transformation with the sequences of transformation will result a shape to return to its original position: Translate 3 units up and then 3 units down
True
Corresponding angles of congruent triangles are congruent
True
Corresponding sides of congruent triangles are congruent
True
In triangle ABC, the measure of angle A=66 degrees, measure of angle B = 45 degrees. In triangle XYZ, the measure of angle Y=45 degrees and the measure of angle Z =69 degrees. The triangles are similar because the corresponding angles have the same measure
True
Similar figures have corresponding angles of equal measure
True
Triangle 7 and 8 must be similar, but not congruent if triangle 7 has a 60 degree angle and a 25 degree angle and triangle 8 has a 60 degree and a 100 degree angle
True
Triangles 3 and 4 must be similar but not congruent if they are both isosceles and each have a 50 degree angle.
True
Two circles with the same radius are always congruent
True
Two figures are similar if the second can be obtained from the first by a sequence of translations, rotations, reflections, and dilations
True
Two figures in the plane are congruent if there is a sequence of translations, rotations, and reflections that map one figure on to the other
True
Two rectangles with the same side lengths are always congruent
True
Two triangles with the same side lengths are always congruent
True
Under a dilation, angle measurements stay the same.
True
Under a dilation, figure and it's image are similar
True
Under dilation, a figure and it's image always similar
True