Advanced Placement (AP)
On a coordinate plane, quadrilateral Q R S T has points (0, 2), (negative 4, 0), (0, negative 3), and (4, 0). The rule for the dilation of quadrilateral QRST to the image Q'R'S'T' is DO,0.5(x, y) (0.5x, 0.5y). What are the coordinates of Q', if Q(0, 2)? ( , )
Refer to the two passages.Source 1"The national college, or Han-lin-yuen, is a body of learned doctors, who have arrived at the most extensive celebrity, and are the guardians of Chinese literature. They are eligible to the highest offices of state, and exercise great influence in the most important affairs of government. Their learning consists in the knowledge of the Chinese classics, works which a schoolboy cons, and a Hanlin explains. General knowledge is excluded from this department. If they can write a good essay, discourse upon the doctrines of Confucius, and unite with this a knowledge of their own country, and a few imperfect geographical notions, they are truly learned men. But wo unto him who should be daring enough to utter anything beyond what Confucius has taught. Their learning does not consist in examining, but in blindly following established principles.Observations of 18th-century Qing government in China by Charles Gutzlaff, from A Sketch of Chinese History, Ancient and Modern, 1834Source 2"Wherever we see the word of God sincerely preached and heard, wherever we see the sacraments administered according to the institution of Christ, there we cannot have any doubt that the Church of God has some existence, since his promise cannot fail, Where two or three are gathered together in my name, there am I in the midst of them (Mt. 18:20).John Calvin, Protestant reformer, in the fourth book of his anthology The Institutes of the Christian Religion, ca. 1559Compared to the concepts discussed in Source 2, Catholic and Confucian beliefs between 1450 and 1750 were similar in that they contributed to which of the following?A clergy class largely separate from politicsNumerous schisms among leaders in the belief systemA decline in literacy among the general populationA belief structure tightly aligned to the state
Refer to the passage."And one of the difficulties consequent upon this commerce and intercourse is, that neither from this land nor from Espaa, so far as can now be learned, can anything be exported thither which they do not already possess. They have an abundance of silks, and linen likewise, according to report. Cloths, on account of the heat prevalent in the country, they neither use nor value. Sugar exists in great abundance. Wax, drugs, and cotton are super-abundant in the islands, whither the Chinese go to obtain them by barter. And thus, to make a long matter short, the commerce with that land must be carried on with silver, which they value above all other things; and I am uncertain whether your Majesty will consent to this on account of having to send it to a foreign kingdom. I beg your Majesty to consider all these matters, to inform me concerning them, and to give explicit orders to the person in charge here so that no mistakes may be made.Don Martn Enrquez, the viceroy of New Spain, letter to the King of Spain, December 1573The views expressed in the passage are best seen as evidence of which of the following continuities in global trade networks?Chinas central role in worldwide commerceSpains dominance of transatlantic trade networksThe importance of barter as the basis for economic exchangeThe persistence of free-market principles in global trade networks