Question

The figure shows three quadrilaterals on a coordinate grid:

A coordinate plane is shown. Figure Q is a quadrilateral with sides measuring 5 and 2. Figure S is a quadrilateral with sides measuring 5 and 2. Figure W is a quadrilateral with sides measuring 10 and 4.
Which of the following statements is true about the three quadrilaterals? (4 points)


Q and W are similar but not congruent.

W and S are similar and congruent.

W and Q are similar and congruent.

Q and S are similar but not congruent.

Answer 1

Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:

A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)


Figure ABCD is similar to figure A′B′C′D′.

Figure ABCD is bigger than figure A′B′C′D′.

The measure of angle D is equal to the measure of angle A′.

The measure of angle D is equal to the measure of angle B′.
3.
(02.05)

Which sequence of transformations creates a similar, but not congruent, triangle? (4 points)


Rotation and translation

Dilation and rotation

Reflection and rotation

Translation and reflection

Answer 2

Q and S are similar but not congruent.

Answer 3

The statement that best describes the relationship between the two figures (ABCD and A'B'C'D') is:

Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′.

Regarding the sequence of transformations that creates a similar, but not congruent, triangle, the correct answer is:

Dilation and rotation.