Coordinate Geometry and Transformations — Test Answers

Which statements are true about triangle ABC and its translated image, cap A prime cap b prime cap c prime ? Choose two correct answers.

What are the coordinates of the image of vertex cap f after a reflection across the line y is equal to negative x ?

Which figure represents the image of parallelogram LMNP after a reflection across the line y is equal to x ?

How many lines of reflectional symmetry does an equilateral triangle have?

Which rule represents the translation from the pre-image, parallelogram ABDC , to the image, parallelogram cap A prime cap b prime cap d prime cap c prime ?

Irina wants to tile her floor using the translation. Which is the rule for this translation?

What is the order of rotational symmetry for a rhombus?

How many lines of reflectional symmetry does the trapezoid have?

Which shows the image of quadrilateral ABCD after the transformation cap r sub 0 comma 90 degrees ?

Square RSTU is translated to form cap r prime cap s prime cap t prime cap u prime , which has vertices cap r prime times open paren negative 8 comma 1 close paren , cap s prime times open paren negative 4 comma 1 close paren , cap t prime times open paren negative 4 comma negative 3 close paren , and cap u prime times open paren negative 8 comma negative 3 close paren If point cap s has coordinates of open paren 3 comma negative 5 close paren , which point lies on a side of the pre-image, square RSTU ?

What is m angle YXS ?

If the smallest angle of rotation for a regular polygon is 18 degrees , how many sides does polygon have?

A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?

Right triangle LMN has vertices cap l times open paren 7 comma negative 3 close paren , cap m times open paren 7 comma negative 8 close paren , and cap n times open paren 10 comma negative 8 close paren The triangle is translated on the coordinate plane so the coordinates of cap l prime are open paren negative 1 comma 8 close paren Which rule was used to translate the image?

The function rule cap t sub negative 4 comma 6 times open paren x comma y close paren could be used to describe which translation?

A parallelogram is transformed according to the rule open paren x comma y close paren rightarrow open paren x comma y close paren Which is another way to state the transformation?

A rectangle is transformed according to the rule cap r sub 0 comma 90 degrees The image of the rectangle has vertices located at cap r prime times open paren negative 4 comma 4 close paren , cap s prime times open paren negative 4 comma 1 close paren , cap p prime times open paren negative 3 comma 1 close paren , and cap q prime times open paren negative 3 comma 4 close paren What is the location of cap q ?

A line segment has endpoints at open paren negative 1 comma 4 close paren and open paren 4 comma 1 close paren Which reflection will produce an image with endpoints at open paren negative 4 comma 1 close paren and open paren negative 1 comma negative 4 close paren ?

Triangle PQR has vertices cap p times open paren negative 2 comma 6 close paren , cap q times open paren negative 8 comma 4 close paren , and cap r times open paren 1 comma negative 2 close paren It is translated according to the rule open paren x comma y close paren rightarrow open paren x minus 2 comma y minus 16 close paren What is the y -coordinate of cap p prime ?

Which shows the pre-image of quadrilateral cap w prime cap x prime cap y prime cap z prime before the figure was rotated according to the rule open paren x comma y close paren rightarrow open paren negative x comma negative y close paren ?