Geometric Transformations — Test Answers

Triangle ABC is shown on the graph. What are the coordinates of the image of point cap b after the triangle is rotated 270 degrees about the origin?

The first transformation for this composition is [________], and the second transformation is a reflection across line c

How many lines of reflectional symmetry does the trapezoid have?

Which statements are true about the reflectional symmetry of a regular heptagon? Choose two correct answers.

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 ?

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

At which angle will the hexagon rotate so that it maps onto itself?

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

Which rule describes the composition of transformations that maps triangle BCD to triangle cap b double prime cap c double prime cap d double prime ?

Which rule describes the transformation?

Which rule describes the composition of transformations that maps figure ABCDE to figure cap A double prime cap b double prime cap c prime cap d double prime cap e double prime ?

Which rule describes a composition of transformations that maps pre-image PQRS to image cap p double prime cap q double prime cap r double prime cap s double prime ?

Which transformation maps the pre-image to the image?

Which statement about the transformation is true?

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 ?

All side lengths in quadrilateral PQRS measure 4 units. A transformation maps PQRS to cap p prime cap q prime cap r prime cap s prime All sides of cap p prime cap q prime cap r prime cap s prime measure 1 unit. Is the transformation an isometric transformation? Explain.

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?

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 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?