Looking at a hypothetical situation requires what kind of thinking
Most likely requires hypothetical thinking, such as "what if........happened?"
What composition of rigid motions maps ΔPQR to ΔXZY?
A. T<1, 3> ◦ r(270°, O)
B. Rx = 0 ◦ T<0, 2>
C. T<6, 2> ◦ Rx = −2
D. Ry = −2 ◦ T<6, 0>
Answer:
reflection across x=1, translation up 2
units
Step-by-step explanation:
The order of vertices PQR is
clockwise, and the order of XZY
is counterclockwise. This means a
reflection is involved. The longest and
shortest sides are at the left and bottom
of APQR, and at the right and bottom
of AXZY, indicating the reflection is
left-right, not up-down.
Line x=1 contains the midpoints of
segments PX, QZ, and RY, so that is a
suitable line of reflection. Once APQR
is reflected over that line, it needs to be
translated upward 2 units to coincide
with AXZY.
The motions are ...
.
reflection over x=1
translation up 2
.
The motions could also be ...
reflection over y, translation right 2 and
up 2.
ANSWER
The composition of rigid motions maps ΔPQR to ΔXZY is T<6, 2> ◦ Rx = −2. The correct option is C.
What are rigid motion maps?In rigid motion, the position or orientation of the entire set changes without affecting the separation between the line segments. A triangle, for instance, can turn or slide but not extend or squeeze.
PQR's vertices are in clockwise and XZY's are in a counterclockwise sequence. This indicates that a reflection is necessary. The reflection is left-right, not up-down, as evidenced by the longest and shortest sides being on the left and bottom of A PQR, and on the right and bottom of AXZY, respectively.
The midpoints of the segments PX, QZ, and RY are on line x=1, making it a viable line of reflection. To match with AXZY, APQR must be translated upward 2 units after crossing that line.
Therefore, the correct option is C. T<6, 2> ◦ Rx = −2.
To learn more about rigid motion maps, refer to the link:
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The question is incomplete. Your most probably complete question is given below:
The image is added.
Explain ONE way in which European practices affected the environment in the Americas in the period c. 1450-c. 1750.
A way through which European practices affected the environment in the Americas during this period was that colonization ruptured the ecosystem.
It should be noted that during this period, colonization ruptured the ecosystem. It brought in new organisms while others were eliminated.
Also, the Europeans brought many diseases with them. This decimated the population of the Native Americans. Therefore, new plants were planted by the Native Americans as medicines.
Learn more about the Europeans on:
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EZ COLLEGE QUESTION:Which of the following people would be most appropriate to ask for a letter of recommendation to accompany your college application?:
A.the coach of your seventh grade soccer team
B.the minister of your local church who has known you for 10 years
C.the neighborhood family for whom you babysit on a regular basis
D.the friend you made at a two-week YMCA camp last summer
The minister of your local church who has known you for 10 years would be most appropriate to ask for a letter of recommendation. A letter of recommendation can help to obtain a job or college application.
A letter of recommendation is a document used to validate the work, specific skills, and/or academic performance of an individual.
These letters (letters of recommendation) are generally requested by a superior for obtaining a job or college opportunity.
The letters of recommendation can be helpful for adding extra merit to a job/college application.
Learn more about letters of recommendation here:
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