[size=150]An altitude [math]CD[/math] is drawn to the hypotenuse [math]AB[/math] and extended to the opposite side of the square on [math]FE[/math]. In class, we discussed Elena’s observation that [math]a^2=xc[/math] and Diego’s observation that [math]b^2=yc[/math]. Mai observes that these statements can be thought of as claims about the areas of rectangles.[/size][br][br]Which rectangle has the same area as [math]BGHC[/math]?
Which rectangle has the same area as [math]ACIJ[/math]?[br]
In the applet below, Andre says he can find the length of the third side of triangle [math]ABC[/math] and it is 5 units. Mai disagrees and thinks that the side length is unknown. Do you agree with either of them? Show or explain your reasoning.
Find 2 triangles which must be similar to triangle [math]ABC[/math].
In right triangle [math]ABC[/math], altitude [math]CD[/math] with length 6 is drawn to its hypotenuse. We also know [math]AD=12[/math]. What is the length of [math]DB[/math]?[br][img]data:image/png;base64,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[/img]
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[/img][br]Lines [math]BC[/math] and [math]DE[/math] are both vertical. What is the length of [math]BD[/math]?
In right triangle [math]ABC[/math], [math]AC=5[/math] and [math]BC=12[/math]. A new triangle [math]DEC[/math] is formed by connecting the midpoints of [math]AC[/math] and [math]BC[/math].[br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOAAAAB8CAYAAABwibzZAAAQuklEQVR4Ae2dB6wVRRSGUVTEEoqoUTDYQA0KiEjT2FAkqKBYsKBIwIIaJASRxN4IhIgKSlOjSEJTVFREjeUpMSqKCkqMBSyxBIUAKkgzx/wbzzJv3+59d9vd2b3/JDez994ts9/OvzN7ZvacBsJEAiSQGYEGmR2ZByYBEhAKkJWABDIkYKUAv//+e2natKmceuqpGaLhoUkgfQJWCnDQoEHSunVr6dixY/oEeAQSyJCAdQJE69egQQN56qmnnDxDNjw0CaROwDoBotuJFvCdd95xBLh+/frUIfAAJJAVAasEqKJDKwjhoSXEb0wkUFQCVglQWz+FDQG+8MIL+pU5CRSOgDUC1Ge+p59+WmpqapwPLKF33XVX4aDzhEhACVgjQFg90eJ5PzfffLOWlTkJFI6AFQJ86KGHpEmTJs5zn0kYxhiOBZpEuFw0ApkLEMaWoK4mup8cCyxaleP5mAQyFyBE5tf6oZD6XGgWmMskUCQCmQoQrV+/fv0EXVC/9Nlnn7EL6geGvxWGQKYCLAxFnggJRCRAAUYEx81IIAkCFRHgpk2b5Pnnn5dFixYlUWbugwQKQyB1AS5ZskQOOOAAd3zv2GOPlR9//LEwAHkiJBCHQOoC7Nmzpys+HWS/7rrr4pSZ25JAYQikLsDGjRvXEeBhhx1WGIA8ERKIQyB1AWImi7Z8Zt6qVSsZO3asbNy4MU75uS0J5JpA6gJ88803Zd9993VFeOihh8rIkSPliCOOcH+78sor5YMPPsg1SBaeBKIQSF2AKNTatWvlmGOOkXbt2smOHTvcci5YsEDOOeccV4gnnHCCPPnkk+7/XCCBohOoiAAB8bTTTnM+fkC//PJLp1Vs1qyZI0Y8N44aNUpWr17ttzp/I4HCELBCgEoTreOMGTOkW7dubqvYp08feeWVV3QV5iRQKAJWCdAk+95778nVV1/tChHPjhMmTJC///7bXI3LJJBrAtYKUKn+/vvvMm7cOGnbtq0rxsGDB8vHH3+sqzAngdwSsF6AJtkXX3xR+vbt6wqxa9eu8swzz5ircJkEckUgVwJUsl999ZWMHj1aWrRo4YgRwxxjxoyRn376SVdhTgK5IJBLAZpkMWxx0kknua0iWsjXX3/dXIXLJGAtgdwLUMm+//77MmTIENlll10cMR555JHOi76bN2/WVZiTgHUECiNAJbtu3TrHWoqBf536ds0118jnn3+uqzAnAWsIFE6AJtmXX35ZLrjgAleI6KrOnj3bXIXLJJApgUILUMl+8803jpHmwAMPdMTYvHlzuf322+Xnn3/WVZiTQCYEqkKAJll43j7llFPcVrF///7y1ltvmatwmQQqRqDqBKhkP/zwQ7n22mtlt912c8SIZ8bJkyfLli1bdBXmJJA6gaoVoJLdsGGDTJw4UeAqQ402N9xwg6xYsUJXYU4CqRGoegGaZF999VW56KKLXCHiDY758+ebq3CZBBIlQAH64Fy1apVjpDn44IMdMcKp1D333CO//vqrz9r8iQSiE7BKgPCErd1Azc8///xMYwTOmjVLTj/9dLdcAwYMcEKnRUfOLUlgJwGrBKixIBAVVz/qUybrQJ14+2LYsGHSqFEjR4zHHXecTJs2TbZv376TJpdIICQBqwSIWIB+4cg6dOggeB/QhvTXX3/JI488IigTWumGDRvK8OHDZeXKlTYUj2XIGQGrBIhK7ReQE8FbUNkRO96mhEnf6JJqd/nMM890PIDbVEaWxW4CVgkQFRndUG9CdxT/IbcxwdM3wqwdcsghTjlhvHnggQdkzZo1NhaXZbKIgDUCVJH5tXKl/rOIpVMUzDVFS6it4hVXXCFwz89EAn4ErBGghqn2KyRaF1ToPKVPP/1UbrrpJtlrr72csh9//PHyxBNPyL///pun02BZUyZQsVpdyi0hzrFUPHg8GyKQZx4T3kd89NFHpVOnTo4Q99xzT8cFI97qZyIBawTYunVr5znKe0nUAGPr85+3vKW+w0v45Zdf7nZPe/fuLQsXLiy1Cf8rOAErBIhQ1X5GFhWfn2U0z9cFr0FhZg2GVnDeuPmMHz9e/vjjjzyfFssegYAVAlQjy4gRI+Tuu+92/IGicjZp0iQwfnyEc7Vyk3nz5snZZ5/ttoroisO9BlN1EIgkQAimpqamzqcUslLPgBh6wAC8fmB0wW9oGaslLV++3BkD1UA2Xbp08R2SqRYe1XKekQSoJnZvXgpaKQGW2q7a/tu6datMnTpVTjzxRKdV3GeffRwXjF9//XW1oaiK840swLBGEQowfH0CY4Ru0xvdeeedJ/Bzw1QcAqEFqG8shEGAsa/27dtLx44dw2zGdf8n8NtvvzkzazSmIvIHH3xQ4AGOKd8EQgtQDSblnvZHH33kTtHCnRwxAFGhmKIReO655wQRo7RVHDp0KIObRkNpxVaRBYjIRehWIoejo6DUq1cvt7JopYHLB6Z4BDSmYtOmTR2+PXr0kJkzZ8bbKbeuOIHQAoRlEuNysFTig2UMF6B76We11KlYKj7kRx11VMVPtKgH9MZUhCBvu+02+fbbb4t6yoU6r9AC9Dt7TKAOGrMz4zaYIsTYF8bAmJIj4I2pCKfEixYtSu4A3FPiBBIRIEqFMTy/+ZqLFy+W3Xff3e2GtmzZ0rlDY3IyBIkB93vvvZdOchO8tN6YiuhxYFYRPMAx2UUgUQEGTRnD1CtUAvjeNCPcvvHGG3LppZe64sQ8ScyXZEqOAGIqYvhCex/XX3+9LF26NLkDcE+xCIQWoN/7ejo0UcpvS6lxQMT1w/OkvtAKS+ljjz0m//zzT6yT48Y7CeDti1tuuUX2228/R4zwDg6HU0zZEggtQHQ1YXCB9RPzNiEs3F2DWj89vVIC1HWQz5kzR8466yxnn5gFAn8rjGxkEoq/bMZU3H///eWOO+6Q1atXx98x9xCaQGgBwtKJeZpqBUXu1yp6S1KuAHU77wutNNoomeRyb0zFiy++WF577bXkDsA91UsgtADr3WPACmEFqLvZtGmTE7OBRhslknzujakIN/3w/Pbnn38mfzDusRYB6wVoltZrtIG/FUY2MgnFX8ZcUzhDxmPFrrvuKjfeeKN88skn8XfMPfgSyJUA9Qy8XsjUaMPIRkoofo6B/DFjxgjc8kOMPXv2ZHDT+Fjr7CGXAjTPAkYb9UJGo41JJrllM6biQQcd5Bjffvjhh+QOUMV7yr0A9drRaKMk0su9MRUvu+wywWMBU3QChRGgIqDRRkmkl3tjKmJYCp7fzEkW6R29WHsunADNy0OjjUkjnWXEVLzwwgud58Q99tjDGbdFb4SpPAKFFqAi8BptOnfuLFOmTGE4agWUQI6BfLyFgWdEGG0wbjt37twE9lzsXVSFAM1LaLqOh9EGM3jgEIkpOQJmTEVML8Rke0w3ZKpLoOoEqAhotFES6eXemIoDBw7kZHsP7qoVoHKg0UZJpJd7YyrqIwDc9ld7qnoBmhWARhuTRjrLZkxFeEuAM+ZqnmxPAfrUMxptfKAk/JMybtWqlWO0gaOp+fPnJ3wU+3dHAdZzjYpmtFGvdrBUmh+4xM8qmYwPP/xwuf/+++WXX37JqjgVPS4FWCZuGG0wMblx48aumT2Pd2y8PoZgMBCi+SnnlbIyUUVezWsYu+qqq+Ttt9+OvL88bEgBhrxKeTfa4IXqLFu7cnB7Yyp269ZNpk2bJnDbX7REAca4onk02gR5r4uBIdVNzZiKKPvIkSPliy++SPWYldw5BZgAbTUoqE8bNbPb9noUupl47kPXM28Jjr0woI/uM87h3HPPlQULFuTtNOqUlwKsgyTeD6ZBwbaZNnCaZRpedDlvgsSzt8ZUbNu2rYwdOza34Q4qJsCTTz5Z2rRp43g7g8ezUh8EHtm4cWM8JWS89bJly6wz2mDaXYcOHWoZXyA+P4/mGeMr6/ArVqxwphJqTEU4Cnv33XfL2taWlSoqQPgagZ/K+j7wpp3XSuG9sEFGmyzM7HkwwHj5lfN927ZttWIqIk7G448/Ltu3by9n80zXqZgAwzhluuSSSwojQPPqZm20QZcTHu2KnNCia0xF+ECFL9SVK1dae8oUYAaXJgujjTpPRl4NSWMqYmAfN56+fftKKcfRWTGhALMi//9xK2W0QWwIVEQ4UzY/eTPARLlcsJZqTMWjjz5axo8fL2vWrImyq8S3oQATRxpth16jTe/evROdGwkB4hnQ+6mWFhFXBV1RjCNqTMUhQ4bIkiVLol2whLaiABMCmdRuYLSZNGmS4/4fLRaiR913331VMzcyKY6l9oOQ6TNmzBDMsAFjWOjhrh+/VzpRgJUmHuJ4fkabos+NDIEnkVXNmIrwgXrrrbcKAtlUKlVMgPCc1alTp7LOq6hW0LJO3melIKONOTcSy3jXjl6sfQCW8ZM3piKCmy5cuLDWlnDhj4CnCA+eVEpdgHjGwAA8mnp8MEazdu3akuWnAIPxmEYbDEBjcB2TGlq0aOEyhsWPKToBjFODIepru3btZMKECfLwww9Lw4YNXcZ4fkwipS5AtT6pAJH379+/zmwMWOP0gzFDxCjQ78x3slEWeIZBDIdGjRq5lcJkPGzYMPIz6pRyC5uPHj1amjdv7sv42Wefja3B1AW49957+xberCxcrv1yLHnkg8eoUaPsF2D37t3rCLBXr168Oydwd9a7uUa9NYWLl1n1f+Z1exBhmKBLarLVZVhO46bUW8CXXnqpVuERkbWanfDEvWB+2+NlVa0UyPHcUt9ztt9++FswgTvvvLMW4zPOOCN45RD/pC5AlOW7775zxramT58usCQxJU8Axi68RTJz5kzZsWNH8gfgHp1B+3Hjxsm8efMSo1ERASZWWu6IBApGgAIs2AXl6eSLQGwBouuDAI6Y4FtTU1PI14jydUlZ2jQIwJ2HOYkdy6j3cd9bjSxACA/jdXjoh58OTPKF0xwsM6VPAJ7NwN4vwcKn1wbrYPIxKgxTdALqzgNuHfEBf9R3zPCKI0L/K1hPOSE+XFS4N/D6k/R+r2dX/DskAfDFRcfF9xMgKgNugqgkWjHwEi7WLfrLuCFRhlpd3XmYG+FGB67Io6ZIAoTw0OIxVZ4AxIW7r178ckvQr18/XrNyYfmsh/ru9aeKm2HFBah3U7SCTJUnoK1aWAHiDs6bZvTrBaHhnUozaTdUr4n5X7nLoVtA3EnRAjJlSyCsALVbmm2p83l0NDYQILyu4VkaOd7ThBbiNkShBYiC4PmCKVsCYQSI6wUBxrlTZ3u22R5de33giA9aPvBEaLW4KZIAvU1x3EJw+/AEyhUgKg8MNnHv1OFLWJwtIDhv912f/+IatijAnNaTcgSod24bvYHlCTseufAM7U1JdOtDCxB3U681yFswfk+fQH0CVPHFvUOnfyb2HwGPXd6bGLrzfoaZsGcTWoDoA+PAqABM2REoJUCKL7nropx1fBvCw+tJGItFyxj3uTq0AHFA9IchQvV2jdzbR04OAffkR0Arhvc/nbGBt+W9U6fwXSuSdzt+9yeg/lRR380PeoFJsAwtQC0mLrRahZDzIV/JVCYHb7+bHlo//B704XWqzPUp9yiRBVjuAbgeCZBAMAEKMJgN/yGB1AlQgKkj5gFIIJgABRjMhv+QQOoEKMDUEfMAJBBMgAIMZsN/SCB1AhRg6oh5ABIIJkABBrPhPySQOgEKMHXEPAAJBBOgAIPZ8B8SSJ0ABZg6Yh6ABIIJ/AdBv+cbpTdajAAAAABJRU5ErkJggg==[/img][br]What is the area of triangle [math]ABC[/math]?
What is the area of triangle [math]DEC[/math]?[br]
Does the scale factor for the side lengths apply to the area as well? [br]
Quadrilaterals [math]Q[/math] and [math]P[/math] are similar.[br][img]data:image/png;base64,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[/img][br]What is the scale factor of the dilation that takes [math]Q[/math] to [math]P[/math]?
She knows that segments [math]AB[/math] and [math]BC[/math] are congruent She also knows that angles [math]DCA[/math] and [math]BAC[/math] are congruent. Does she have enough information to determine that the triangles are congruent?