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mSQR. mPQS. mPQR. Note, we have to use 3 letters to uniquely identify each angle. “measure of angle”. “cut into equal halves”. ½ mDEF. mFEW. mDEW. mFEW. mDEF. mDEW. add to 90. right angle. “corner angles”. mMLW = 90. mKLW +. add to 180. straight line.
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mSQR mPQS mPQR Note, we have to use 3 letters to uniquely identify each angle. “measure of angle” “cut into equal halves” ½ mDEF mFEW mDEW mFEW mDEF mDEW add to 90 right angle “corner angles” mMLW = 90 mKLW + add to 180 straight line mJHW = 180 mGHW + two lines intersect congruent (equal measure) opposite mPWS mRWQ mPWQ mRWS
Now plug in … mABD = 2(8) + 26 mABD = 42 mCBD= 6(8) mCBD= 48 2x + 26 6x 2x + 26 + 6x = 90 8x + 26 = 90 x = 8 Check: 42 + 48 90 127 Now plug in … mPQS = 43 + 3 mPQS = 46 mSQR = 2(43) – 5 mSQR = 81 x + 3 2x – 5 x + 3 + 2x – 5 = 127 3x – 2 = 127 x = 43 Check: 46 + 81 127 Now plug in … mGHI = 5(23) – 1 mGHI = 114 3x – 3 5x – 1 3x – 3 + 5x – 1 = 180 8x – 4 = 180 x = 23 mFHG= 3(23) – 3 mFHG= 66
88 44 Be Careful here! P P P T T T x + 11 = ½ 88 x + 11 = 44 x = 33 44 (x + 11) Q Q Q R R R 10x – 7 ??? 4x + 6 + 5x = 10x – 7 9x + 6 = 10x – 7 x = 13 6x + 1 4x + 6 5x mPQR = 10(13) – 7 mPQR = 123 10x – 13 6x + 1 = 10x – 13 14 = 4x x = 3.5 mPQR = 6x + 1 + 10x – 13 mPQR = 16x – 12 mPQR = 16(3.5) – 12 mPQR = 56 – 12 = 44
Lesson Summary! Quietly review your notes. Add a short paragraph summarizing the key points of today’s lesson. When you and your assigned class partner are finished, discuss your summary with your partner and add things you missed. Be prepared to share your summary with the class.