Line segment cd is shown on a coordinate grid:

a coordinate plane is shown. line segment cd has endpoints 1 comma 2 and 1 comma negative 1.

the line segment is reflected about the y-axis to form c'd'. which statement describes c'd'?
c'd' is perpendicular to cd.
c'd' is half the length of cd.
c'd' is greater than twice the length of cd.
c'd' and cd are equal in length.

question 3(multiple choice worth 4 points)

(02.02)a rotation is shown in the drawing:

a blue triangle is shown labeled figure k. a dotted line shows a right turn to a green triangle labeled figure k prime. the new image is directly above the original.

which statement best describes the rotation?
clockwise 90-degree rotation
clockwise 180-degree rotation
counterclockwise 90-degree rotation
counterclockwise 180-degree rotation

△cde maps to △stu with the transformations (x, y) arrowright (x − 2, y − 2) arrowright (3x, 3y) arrowright (x, −y). if cd = a + 1, de = 2a − 1, st = 2b + 3 and tu = b + 6, find the values of a and b. the value of a is and the value of b is .

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 circumference of a redwood tree trunk is 20π ft, and it is 100 ft tall. what is the approximate volume of the redwood tree trunk? 1,000π ft3 10,000π ft3 4,000π ft3 40,000π ft3