Understanding Prisms in Geometry
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Understanding Prisms in Geometry

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Questions and Answers

What was the primary writing system developed by the Maya civilization?

  • Cuneiform
  • Runes
  • Pictographs
  • Hieroglyphics (correct)
  • Which of the following contributed to the decline of some Mayan cities during the Classic period?

  • Climate changes and drought (correct)
  • Expansion of the empire
  • Construction of large temples
  • Increase in trade with other civilizations
  • What significant agricultural advancement was associated with the Aztec civilization?

  • Chinampas (correct)
  • Terracing mountain slopes
  • Crop rotation
  • Hydroponics
  • What was the fate of Tenochtitlán following the arrival of Spanish soldiers in 1519?

    <p>It quickly fell to Hernán Cortés and his allies.</p> Signup and view all the answers

    How did the Mexica, the people of the Aztec Empire, primarily record their history and knowledge?

    <p>Painted illustrations serving as mnemonic devices</p> Signup and view all the answers

    What defines a prism?

    <p>It is a three-dimensional object with parallel sides and identical polygonal bases.</p> Signup and view all the answers

    Which formula calculates the volume of a prism?

    <p>Volume = B * h</p> Signup and view all the answers

    What was a significant aspect of the Mayan civilization's governance?

    <p>Each city-state functioned as an independent government.</p> Signup and view all the answers

    What notable achievement allowed for trade among the Maya city-states?

    <p>The development of agriculture and surplus production.</p> Signup and view all the answers

    How did the Maya record their history despite facing record destruction?

    <p>By writing in folding books made from long pieces of paper.</p> Signup and view all the answers

    What type of architecture is associated with the Aztecs, Maya, and Inca civilizations?

    <p>Monumental architecture</p> Signup and view all the answers

    What caused a period of increased knowledge and cultural achievement in Europe around the 14th century?

    <p>The onset of the Renaissance</p> Signup and view all the answers

    Which city-state is known for its significant contributions to the Renaissance, particularly in art and culture?

    <p>Florence</p> Signup and view all the answers

    Who was a significant figure in the Protestant Reformation, known for criticizing Church corruption?

    <p>Martin Luther</p> Signup and view all the answers

    What was the primary focus of Renaissance humanism?

    <p>Cultural and societal studies</p> Signup and view all the answers

    Which of the following artists is NOT associated with the Renaissance period?

    <p>Vincent van Gogh</p> Signup and view all the answers

    What technological advancement during the Renaissance contributed to the spread of knowledge?

    <p>The printing press</p> Signup and view all the answers

    What was the role of the Sapa Inca in the Inca Empire?

    <p>He was the emperor and worshipped as a god.</p> Signup and view all the answers

    What farming method did the Inca use to adapt to their mountainous environment?

    <p>Stepped agriculture with retaining walls.</p> Signup and view all the answers

    Which Spanish conqueror led the campaign against the Inca Empire?

    <p>Francisco Pizarro.</p> Signup and view all the answers

    What critical factor contributed to the decline of the Inca Empire?

    <p>Inca internal conflicts over leadership.</p> Signup and view all the answers

    What was the purpose of the quipus in the Inca civilization?

    <p>To record information and data.</p> Signup and view all the answers

    Why did the Europeans' arrival in the New World lead to devastation for the Inca Empire?

    <p>They spread diseases the Inca were not immune to.</p> Signup and view all the answers

    What were the major limitations faced by the Inca, Maya, and Aztec civilizations due to their geographical locations?

    <p>Separation caused by mountains and jungles.</p> Signup and view all the answers

    What was one of the primary languages spoken by the Inca?

    <p>Quechua.</p> Signup and view all the answers

    Study Notes

    Prisms

    • Prisms are 3D shapes with parallel sides and congruent polygonal bases.
    • Identified by the shape of their base: triangular, square, or pentagonal prisms.
    • Surface Area formula: ( \text{Surface Area} = 2B + Ph ) (B = area of base, P = perimeter of base, h = height).
    • Volume formula: ( \text{Volume} = Bh ).

    The Mayan Empire

    • Flourished in Mesoamerica; contributed significantly to modern culture.
    • City-states focused on religion, agriculture, and trade prior to Spanish arrival.
    • Traded jade, cacao, obsidian, and pottery among city-states.
    • Lacked centralized leadership, appealing to scholars today.
    • Developed a written language and codices made from tree bark.

    Mayan Society

    • Each city-state was an independent government led by an Ajaw (king).
    • The Maya possessed over 500 writing characters and a unique calendar system based on solar and lunar cycles.
    • The stepped pyramid served as a structure for religious worship.

    History of the Mayan Empire

    • Existed from 1800 BCE to around 900 CE with independent city-states.
    • Hieroglyphic writing system recorded culture and history without a single centralized language structure.
    • Artworks included murals, sculptures, and ceramics reflecting daily life and religion.

    Decline of the Mayan Empire

    • Potential causes for decline include climate change, deforestation, and warfare among city-states.
    • Spanish colonization introduced new diseases exacerbating the decline.
    • Scholars are investigating the multifaceted reasons behind the civilization's collapse.

    The Aztec Empire

    • A powerful military state in Central Mexico, established by the Triple Alliance of Tenochtitlán, Texcoco, and Tlacopan.
    • The Mexica settled in Tenochtitlán after a significant omen indicating their future success.
    • Conquests fueled the empire's wealth through tributes from subjugated kingdoms.

    Aztec Society and Culture

    • Known for human sacrifice but also for agricultural innovations and a vibrant daily life.
    • The population had a higher standard of living than many contemporary Europeans.
    • Expansionist strategies included agricultural techniques like chinampas for farming in swampy conditions.

    Aztec Language and Record Keeping

    • Language: Nahuatl, primarily oral with a visual mnemonic system for record-keeping.
    • Used illustrated books to communicate instead of a full writing system.

    The Inca Empire

    • Located in the Andes Mountains, ruled by the Sapa Inca, considered a deity.
    • Originating in Cusco, the empire expanded under Sapa Inca Pachacuti through peaceful submissions.
    • Civil conflict and European diseases contributed to its decline, leading to Spanish conquest.

    Incan Society and Communication

    • Divisions across four provinces, with Cusco as the capital.
    • They utilized stepped agriculture and recorded data using quipus (knotted strings).
    • Despite a lack of written language, artistic expressions communicated social status and daily life.

    European Conquest of Indigenous Empires

    • In 1492, Europeans, including Hernán Cortés and Francisco Pizarro, began conquering indigenous empires.
    • Conquest introduced diseases and led to significant population declines among the indigenous peoples.
    • Resistance persisted for decades even after the Spanish established control.

    Geographic and Cultural Context

    • The geographic isolation among the Maya, Aztec, and Inca limited collaboration but provided unique cultural developments.
    • Each civilization overcame specific environmental challenges—chinampas for Aztecs, terraces for Incas, and agricultural adaptation for Mayans.

    Education in Pre-Columbian Civilizations

    • Education emphasized engineering and philosophy, with architecture and astronomy as key subjects.
    • Monumental architecture using stepped designs was common among Maya and Aztec civilizations.
    • The calendar system, particularly elaborate in Maya culture, reflected their astronomical observations.

    The Renaissance in Europe

    • Lasted from the late 14th to the early 17th century, primarily in Italy, ignited by the end of the Black Plague.
    • Innovations such as the printing press facilitated the spread of knowledge and religious reformations, leading to conflicts.
    • Major wars and political changes marked this transformative period, with significant contributions in art and scholarship.

    Cultural Revival and Humanism

    • The Renaissance revived classical Greek and Roman values, focusing on humanism and individualism.
    • Artists and thinkers embraced secular themes while merging religion with humanistic perspectives.
    • Notable figures included Michelangelo, Raphael, and Renaissance philosopher Niccolò Machiavelli.### Renaissance Overview
    • Time Frame: The Renaissance occurred from the 14th to 17th centuries, signifying a 'rebirth' of culture and arts.
    • Geographical Focus: The movement was primarily centered in Italy.
    • Artistic Shift: Renaissance art emphasized humanism, focusing on human experiences instead of solely religious themes.
    • Key Artist: Michelangelo is regarded as one of the greatest artists, known for masterpieces like the Sistine Chapel, David, Pietà, and Moses.
    • Innovative Techniques: Use of perspective became a hallmark of Renaissance art exemplified by Pierro della Francesca’s Flagellation of Christ.
    • Thematic Diversity: Myths from Greek and Roman culture were as prevalent as religious themes, portraying figures in a more human-like fashion rather than grandiose depictions.

    Humanism

    • Definition: A belief system that centers human actions and values, integrating a renewed interest in ancient Greek and Roman philosophy and arts.

    The Printing Press

    • Invention: Johannes Gutenberg invented the movable-type printing press around 1439, revolutionizing information dissemination.
    • Impact: This innovation made books more affordable, contributing to a new intellectual culture and enhancing education.
    • Connection to Reformation: The widespread distribution of Martin Luther's Ninety-Five Theses in 1517 fueled the Protestant Reformation by challenging the Catholic Church's authority.

    The Protestant Reformation

    • Initiation: Sparked in 1517 by Martin Luther's 95 Theses, criticizing Church practices like the sale of indulgences.
    • Luther’s Background: Luther was tried at the Diet of Worms, declared a heretic, and entered exile, during which he translated the Bible into German, making it accessible to a broader audience.
    • Terminology: Supporters of Luther became known as Protestants. The translation of the Bible contributed to the emergence of Protestant denominations, notably Lutheranism.

    Key Figures

    • Martin Luther: Theologian whose actions initiated the Reformation.
    • John Calvin: Associated with Calvinism, which emphasized predestination. Calvin's theology gained traction in various European regions.
    • Ulrich Zwingli: Key figure in the Swiss Reformation, differing from Luther on certain beliefs.

    Major Events and Concepts

    • St. Bartholomew's Day Massacre: A violent conflict occurring on August 23-24, 1572, involving the massacre of thousands of Huguenots by Catholics.
    • Creation of the Church of England: Established in 1534 as a Protestant denomination, separating from the Catholic Church.
    • Plymouth Colony: Founded in 1620 by dissenters seeking religious freedom from the Church of England.
    • Spanish Inquisition: Established to enforce Catholic doctrine within the Spanish Empire.

    The Counter-Reformation

    • Council of Trent: Convened by Popes to address issues raised by the Protestant Reformation and reaffirm Catholic doctrine.
    • Response to Corruption: The council enacted reforms to address corruption within the Church and enhanced the education and discipline of clergy.
    • Indulgences: The Council ended the sale of indulgences while maintaining the practice of granting them without financial exchange, preserving traditional Catholic beliefs in saints and sacraments as means to salvation.

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    Description

    This quiz covers the fundamental concepts of prisms, including their definitions, types based on base shapes, and surface area calculations. Discover how different prisms are utilized in real-world structures, such as skyscrapers. Test your knowledge of triangular, square, and pentagonal prisms!

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