Answer:
A. △P'Q'R' does not equal △P''Q''R''.
B. Reflecting across UT would change the orientation of the figure.
C. The sequence does not include a reflection that exchanges U and S.
D. Rotating about point U is not a rigid motion because it changes the orientation of the figure.
E. Translating point R' to Q' is a non-invertible transformation because it changes the location of P'.
(D) Rotating about U is not a rigid motion because it changes the orientation of the figure. [I think D is an incorrect answer choice.]
Step-by-step explanation:
Proof No.1
Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R' about point U to get △P''Q''R''. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.
Proof No.2
Jordan wants to prove △PQR≅△STU using a sequence of rigid motions. This is Jordan's proof. Translate △PQR to get △P'Q'R' with R'=U. Then rotate △P'Q'R about point U to get △P''Q''R'' so that R''Q'' and UT coincide. Since translation and rotation preserve distance, R''Q''=RQ=UT, and Q''=T. Reflect △P''Q''R'' across UT to get △P'''Q'''R''. Since reflection preserves distance, P'''R'''=PR=US, and P'''=S. A sequence of rigid motions maps △PQR onto △STU, so △PQR≅△STU.
Answer:
x=-5
Step-by-step explanation:
Set up the rational expression with the same denominator over the entire equation.
2x-2/6=3x+3/6
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2x−2=3x+3
Move all terms containing x to the left side of the equation.
−x−2=3
Move all terms not containing x to the right side of the equation.
-x=5
Multiply each term in x=−5 by −1
x=−5
Answer:
2000
Step-by-step explanation:
The number in the next place, the hundreds place, is 4, which is less than 5. Therefore, you round down, to 2000.
I would appreciate Brainliest, have an amazing day!
Answer:
1. hexagon
2. 4
4. H
5. 6
6-8. count how many sides there are in the shape and multiply the given area to the number of sides you counted. for 6 it's a pentagon. 5 sides. Multiply 8.5 X 5. use calculator for the rest of that section if needed
9-11. they are equilateral triangles. Search up the formula and plug in and solve
Step-by-step explanation:
90° angle on a straight lines gotta be 180°
