Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).
Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.
The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.
We are to find the co-ordinates of the vertices P″ and Q″.
<u>Case I :</u> ΔPQR dilated to ΔP'Q'R'
The co-ordinates of P' and Q' are given by
<u>Case II :</u> ΔP'Q'R' dilated to ΔP''Q''R''
The co-ordinates of P'' and Q'' are given by
Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).
Option (D) is CORRECT.
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Answer:
the value of x is 45 degree
Answer:
Step-by-step explanation:
we know that
The area of the figure is equal to the area of a triangle plus the area of a parallelogram
<em>Find the area of triangle KLM</em>
we have
--> difference of the x-coordinates points M and K
--> difference of the y-coordinates points L and K
substitute
<em>Find the area of parallelogram JKMN</em>
--> difference of the x-coordinates points N and J
--> difference of the y-coordinates points K and J
substitute
The area of the figure is equal to
Answer:
Answer: XII CCCXLV
Step-by-step explanation:
To convert 12,345 to Roman Numerals you have to take them apart into place values (ones, tens, hundreds).
Ten Thousands=10,000=X
Thousands=2,000=MM
Hundreds=300=CCC
Tens=40=XL
Ones=5=V
Step-by-step explanation:
Answer:
I think it’s a
Step-by-step explanation:
