Geometry B: Unit 4 Transformations Unit Test

A (-3, -3) --> A' is a glide reflection where the translation is (x, y) --> (x + 5, y), and the line of reflection is y = 1. What are the coordinates of A'?

(2, 5)

If point P (4, 11) is reflected across the line y = 3, what are the coordinates of its reflection image?

(4, -5)

Which graph shows a triangle and its reflection image across the y-axis?

(It's two triangles right and left of each other). Image: https://ibb.co/fMVMyfp

Which translation rule describes the translation that is 6 units to the right and 5 units down?

(x, y) → (x + 6, y - 5)

The hexagon GIKMPR is regular. The dashed line segments form 30° angles. What is the angle of rotation about O that maps PQ to RF?

300º

How many lines of symmetry does the figure have?

5

Which image has reflectional, rotational, and point symmetry?

Circle https://ibb.co/hHfJbPN

Which of these transformations are isometries? The diagrams are not drawn to scale.

I and III only

Which type of symmetry does the figure shown have?

No symmetry

The hexagon GIKMPR is regular. The dashed line segments form 30° angles. What is the image of ON after a rotation of 180°?

OH

The vertices of a triangle are P(-4, 1), Q(-2, -8), and R(8, -1). What are the vertices of the image reflected across the x-axis?

P'(-4, -1), Q'(-2, 8), and R'(8, 1)

Which image is the translation of ΔABC given by the translation rule (x, y) --> (x - 2, y - 2)?

Points: (If the image doesn't work-- Plot these points in all the answer choices and see which one matches all of these in the graph). A' (-2, 1) B' (-1, -3) C' (-5, -2) Graph Picture: https://ibb.co/cNF5FJS

Which letter has rotational symmetry?

S

**SHORT ANSWER QUESTION** ---------------------------- Is one flag a translation image of the other, or a rotation image? Explain.

Sample response: The flags are a translation of each other, moving only a few coordinate points ahead but NOT changing their orientation or direction. In a rotation image, the image WILL change its orientation its held at and move the points left or right prior to their setting. In simple terms, a translation only moves the location of a image (which is true for this image), while a rotation will change its shape and rotate it into a new position.

**SHORT ANSWER QUESTION** ---------------------------- Describe the image of D first reflected across line l, then across line m.

Sample response: When the image of D is reflected across the line "L", it will appear backwards, placing its curved side first and then its straight back line. When it's reflected again on line "m", it will return back to its original orientation or shape in beginning, with the straight back line first and the curved side second.