Congruent or Similar?

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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


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