18. Use the figures shown to the right to answer the questions. Quadrilateral JKLM is reflected across a vertical line that intersects JK and ML. Part A After the reflection, what could be the next step in proving the figures are similar? A. Reflect quadrilateral PQST about a vertical line that intersects ST and QP. B. Translate quadrilateral JKLM toward quadrilateral PQST to check to see if corresponding sides are congruent. C. Translate quadrilateral JKLM toward quadrilateral PQST to check to see if corresponding angles are congruent. D. Rotate quadrilateral PQST about point Q until quadrilateral PQST is directly over quadrilateral JKLM. Part B What could be the final step in proving the figures are similar? A. Increase the size of quadrilateral JKLM with dilation to increase the angle measurements of quadrilateral JKLM until they are congruent to corresponding angles in quadrilateral PQST. B. Increase the size of quadrilateral JKLM with dilation to increase the side lengths of quadrilateral PQST. C. Increase the size of quadrilateral JKLM with dilation to increase the area of quadrilateral JKLM until it is the same as the area of quadrilateral PQST. D. Increase the size of quadrilateral JKLM with dilation to increase the perimeter of quadrilateral JKLM until it is the same as the perimeter of quadrilateral PQST.

Kelsey wants to use a compass and straightedge to draw the image of AXYZ after a reflection across line m. What should she do first? Construct a perpendicular to line m that passes through point X. Construct a line parallel to line m that passes through point X. O Copy ZX on the opposite side of line m. O Copy XZ on the opposite side of line m.

If PR and SU are parallel lines and mLSTV = 137°, what is mUTQ?

Quadrilateral ABCD is a cyclic quadrilateral. A 1. Draw diagonal BD. How will this diagonal relate to the circumscribed circle? Explain your reasoning. 2. Construct the center of the circumscribed circle for quadrilateral ABCD. Label this point O. Explain why your method worked. 3. Construct the circumscribed circle for quadrilateral ABCD. 4. Could we follow this procedure to construct a circumscribed circle for any cyclic quadrilaterals? 5. Explain your reasoning.