Lesson 11
What Is the Same?
Problem 1
If two rectangles have the same perimeter, do they have to be congruent? Explain how you know.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
Draw two rectangles that have the same area, but are not congruent.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
For each pair of shapes, decide whether or not the two shapes are congruent. Explain your reasoning.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 4
-
Reflect Quadrilateral A over the \(x\)-axis. Label the image quadrilateral B. Reflect Quadrilateral B over the \(y\)-axis. Label the image C.
-
Are Quadrilaterals A and C congruent? Explain how you know.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 5
The point \((\text-2,\text-3)\) is rotated 90 degrees counterclockwise using center \((0,0)\). What are the coordinates of the image?
\((\text-3,\text-2)\)
\((\text-3,2)\)
\((3,\text-2)\)
\((3,2)\)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 1, Lesson 6.)Problem 6
Describe a rigid transformation that takes Polygon A to Polygon B.
![Polygon A and its image polygon B on a coordinate plane, origin \(O\).](https://cms-im.s3.amazonaws.com/QH8GRyjQuJs3iEjTznHB4DPa?response-content-disposition=inline%3B%20filename%3D%228-8.1.A7.newPP.01.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A7.newPP.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172545Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=173b19c08f522dfc5afb84b8268e7a212377015b4c6d8d1c3f58fd23d9c0f2ff)
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 1, Lesson 7.)