Ch. 2 Progress Portfolio by ANNA RUTKOWSKI https://padlet.com/arutkowski2/e59mnyt2c6v1 Made with a wink and a smile en-us 2017-09-17 23:36:25 UTC 2023-05-26 18:21:53 UTC hello@padlet.com LT 2: I understand the concept of perpendicularity. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283064 Definition: If two lines (rays, segments) intersect at right angles, then the lines are perpendicular. 
Converse: If lines are perpendicular, then they intersect at right angles.
DO NOT assume perpendicularity!!! 
In the picture, line A is perpendicular to line B. ]]> 2017-09-17 23:38:39 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283064 LT 3: I can recognize complementary and supplementary angles. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283638 Complementary Angles: If two (adjacent) angles sum to 90 degrees (right angle) then they are complementary.
90-x
Supplementary Angles: If two (adjacent) angles sum to 180 degrees (straight angle) then they are supplementary.
180-x]]> 2017-09-17 23:44:22 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283638 LT 11: I can recognize opposite rays. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283949 Two rays that share a common endpoint and extend in different directions. ]]> 2017-09-17 23:47:27 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188283949 LT 12: I can recognize vertical angles. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284097 Two angles are vertical angles if the rays forming the sides of one and the rays forming the sides of the other are opposite rays. 
Vertical angles are congruent. ]]> 2017-09-17 23:48:43 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284097 LT 7: I can apply the the subtraction properties of segments and angles. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284257 If congruent angles (or segments), subtracted from congruent angles (or segments) then the differences are congruent. ]]> 2017-09-17 23:50:25 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284257 LT 6: I can apply the addition properties of segments and angles. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284652 If congruent angles (or segments) are added to congruent angles (or segments) then the sums are congruent. ]]> 2017-09-17 23:54:10 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188284652 LT 8: I can apply the multiplication and division properties of segments and angles. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285167 Multiplication Property: If angles or segments are congruent, then their like doubles (or triples) are congruent.
Small to Big
Division Property: If angles or segments are congruent, then their like halves/ thirds are congruent. 
Big to Small]]> 2017-09-17 23:58:39 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285167 LT 9: I can apply the transitive properties of angles and segments. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285227 Transitive Property: If two angles are congruent to the same angle then they are congruent

]]> 2017-09-17 23:59:15 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285227 LT 5: I can prove angles congruent by using complementary and supplementary angle theorems. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285352 Theorem: If two angles are comp (or supp) to the same angle, then they are congruent. 
Must have:
~ 2 pairs of comp (or supp) angles
~3 angles involved/mentioned
Theorem: If two angles are comp (or supp) to congruent angles, then they are congruent
Must have:
~2 pairs of comp (or supp angles
~4 mentioned angles
~1 pair of congruent angles ]]> 2017-09-18 00:00:12 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285352 LT 10: I can apply the substitution property. arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285413 Substitution is used to plug in for values.
In geometry, the substitution property is used when no variables are present, when sums or equations are referenced (even not explicitly). ]]> 2017-09-18 00:00:50 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188285413 Chapter Reflection arutkowski2 https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188287722 My weakness for this chapter is that there are a lot of theorems to remember. It is difficult to remember the acceptable wording for the theorems and when to use them. It is also difficult to know what I need to include in the proof and what is pointless information to add. Doing homework that pulls multiple theorems into one problem has been very helpful. It has been helpful having the answers on hand so if I am stuck I can work through the problem by using the answer key. ]]> 2017-09-18 00:21:06 UTC https://padlet.com/arutkowski2/e59mnyt2c6v1/wish/188287722