introduction to geometry and transformations

Select the correct answer from each drop-down menu.

117 90 90 127

Greg is designing a clock face. Using the center of the clock face as the origin, he keeps its diameter at 10 units. Match the positions of the hours on the clock face to their corresponding coordinates.

3 5,0 6 0,-5 9 -5,0 12 0,5

Squares ABCD and EFGH share a common center on a coordinate plane, as shown in the figure. is parallel to diagonal .

4

Square RSTU dilates by a factor of with respect to the origin to create square R'S'T'U'. If R'S' is 2 units, what is RS?

4 units

Select the correct answer from each drop-down menu.

The regular hexagon ABCDEF rotates 240º counterclockwise about its center to form hexagon A′B′C′D′E′F′. Point C′ of the image coincides with point E of the preimage. Point D′ of the image coincides with point F of the preimage.

In the figure, polygon ABCD is transformed to create polygon A′B′C′D′.

This transformation is a horizontal stretch by a factor of 2.

Figure ABCD is plotted on a coordinate plane. The figure transforms to create figure A'B'C'D'. Which transformation took place?

reflection across the y-axis

Type the correct answer in each box. Spell all words correctly.

right reflection wrong b'

What single transformation maps ∆ABC onto ∆A'B'C'?

rotation 90° counterclockwise about the origin

On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?

wrong G'G = 8 units

Which sequence of transformations on preimage ∆ABC will NOT produce the image ∆A'B'C'?

wrong reflection across the line y = -x followed by a rotation 180° counterclockwise about the origin

reflects about a line such that N is the reflection of B and O is the reflection of C. Point N is shown on the coordinate plane, but point O is not.

wrong (5,5) ( ,5)

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the , followed by a reflection across the line

y-axis y=-x