MSQR
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mSQR. mPQS. mPQR. Note, we have to use 3 letters to uniquely identify each angle. “measure of angle”. “cut into equal halves”. ½  mDEF. mFEW. mDEW. mFEW. mDEF. mDEW. add to 90. right angle. “corner angles”. mMLW = 90. mKLW +. add to 180. straight line.

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mPQS

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M pqs

mSQR

mPQS

mPQR

Note, we have to use 3 letters to uniquely identify each angle.

“measure of angle”

“cut into equal halves”

½  mDEF

mFEW

mDEW

mFEW

mDEF

mDEW

add to 90

right angle

“corner angles”

mMLW = 90

mKLW +

add to 180

straight line

mJHW = 180

mGHW +

two lines intersect

congruent (equal measure)

opposite

mPWS

mRWQ

mPWQ

mRWS


M pqs

Now plug in …

mABD = 2(8) + 26

mABD = 42

mCBD= 6(8)

mCBD= 48

2x + 26

6x

2x + 26 + 6x = 90

8x + 26 = 90

x = 8

Check:

42

+ 48

90 

127

Now plug in …

mPQS = 43 + 3

mPQS = 46

mSQR = 2(43) – 5

mSQR = 81

x + 3

2x – 5

x + 3 + 2x – 5 = 127

3x – 2 = 127

x = 43

Check:

46

+ 81

127 

Now plug in …

mGHI = 5(23) – 1

mGHI = 114

3x – 3

5x – 1

3x – 3 + 5x – 1 = 180

8x – 4 = 180

x = 23

mFHG= 3(23) – 3

mFHG= 66


M pqs

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

mPQR = 10(13) – 7

mPQR = 123

10x – 13

6x + 1 = 10x – 13

14 = 4x

x = 3.5

mPQR = 6x + 1 + 10x – 13

mPQR = 16x – 12

mPQR = 16(3.5) – 12

mPQR = 56 – 12 = 44


Lesson summary

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.


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