Tricia plotted the point (4,2) on a coordinate plane. She then performed a series of

transformations on the point so that the point mapped onto its original location of (4,2). Sort

the transformations below so that (4, 2) maps onto itself by the end of the last transformation.

Write the correct transformation for each step.

Translation 2 units left and 1 unit down

Translation 2 units right and 3 units up

Transa

mel

Rotation of 180° about the origin

Reflection over the y-axis

Rotation

Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. will the mileages for the two cars ever be equal? explain.

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

The reflexive property of congruence lets you say that ∠pqr ≅