Homework #8 due Group Outline due Next Thursday Homework 9 Quiz 4.
Today – Monday, October 22, 2012 White Board Review Independent practice/ Check homework QUIZ...
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![Page 1: Today – Monday, October 22, 2012 White Board Review Independent practice/ Check homework QUIZ 3.1-3.3: Friday.](https://reader037.fdocuments.in/reader037/viewer/2022110321/56649cf65503460f949c5b56/html5/thumbnails/1.jpg)
Today – Monday, October 22, 2012
White Board Review
Independent practice/ Check homework
QUIZ 3.1-3.3: Friday
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REVIEW: Parallel,
Perpendicular, and Lines
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REMEMBER…
PARALLEL LINES: Lines that never intersect and are coplanar.
PERPENDICULAR LINES: Lines that intersect at a right angle.
SKEWED LINES: Lines that are non-coplanar and do not intersect.
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𝐻𝐶𝐷
𝐹𝐺
𝐴𝐵
𝐸
Using the figure below, identify the following:Find lines parallel to:
Find lines perpendicular to:
Find lines skew to:
, , , ,
, , , , , ,
and and
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REVIEW: Naming Angles
![Page 6: Today – Monday, October 22, 2012 White Board Review Independent practice/ Check homework QUIZ 3.1-3.3: Friday.](https://reader037.fdocuments.in/reader037/viewer/2022110321/56649cf65503460f949c5b56/html5/thumbnails/6.jpg)
Using the diagram below, define all the following terms:
𝐵
𝐶
𝐷
𝐹
𝐻𝐼 𝐽
𝐾
If it is difficult to name each angle by its vertex, then rewrite each angle as numbers.
12
5 6
34
78
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REVIEW: Identifying Angles
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Using the diagram below, identify all of the following angles:
765
4321
8Corresponding Angles: Alternate Interior Angles:
Alternate Exterior Angles: Supplementary Angles:
Consecutive Interior Angles: Vertical Angles:
Adjacent Angles: Linear Pair:
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Using the diagram below, define all the following terms:
𝑡
𝑠
𝑛
𝐵
𝐶
𝐷
𝐹
𝐻𝐼 𝐽
𝐾
Corresponding Angles: Alternate Interior Angles:
Alternate Exterior Angles: Supplementary Angles:
Consecutive Interior Angles:
Vertical Angles:
Adjacent Angles:
Linear Pair:
1234
5678
∠1∧∠5 ,∠2∧∠ 6 ,∠ 3∧∠7 ,∠4∧∠8
∠1∧∠8 ,∠2∧∠7
∠3∧∠5 ,∠ 4∧∠6
∠3∧∠6 ,∠ 4∧∠5
∠1∧∠2 ,∠ 2∧∠ 4 ,∠3∧∠ 4 ,∠1∧∠3∠5∧∠6 ,∠6∧∠ 8 ,∠8∧∠7 ,∠7∧∠5
∠1∧∠4 ,∠ 2∧∠37
*same as supplementary angles
*same as supplementary angles
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Using the diagram below, define all the following terms: 𝐶
𝐷𝐸
𝑡
𝑠
𝑛𝑚
𝐴
𝐵 𝐹𝐺
𝐻𝐼 𝐽
𝐾
𝐿
Vertical Angles Corresponding AnglesAdjacent Angles Alternate Interior AnglesLinear Angles Alternate Exterior Angles
Consecutive Interior AnglesSupplementary Angles
12 3456 78
9 101413 15
111216
You can rename each angle to make it easier to label.
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REVIEW: Using Parallel Lines
and Transversal
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765
4321
8
THEOREMS:
Corresponding Angles Alternate Interior Angles
Alternate Exterior Angles Vertical Angles
Consecutive Interior Angles Vertical Angles (Postulate)
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Find and . Explain your reasoning:
254 °1
Vertical angles are congruent: Corresponding angles are
congruent:
¿54 °54 °=¿
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Find and . Explain your reasoning:
295 °1
Consecutive Interior angles are supplementary:
Alternate Interior angles are congruent:
¿85 °¿95 °
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Find the values of x and y, state what theorems or properties you used:
2 𝑦 ° 58 °2 𝑥 °
Corresponding angles are congruent:
Linear pairs are supplementary:
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Find the values of x and y:Find the values of x and y, state what theorems or properties you used:
48 °𝑦 °(5 𝑥−17 )°
Consecutive Interior angles are supplementary:
Alternate Interior angles are congruent:
¿32 °
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30
𝑦85
𝑥
Find the values of x and y:Find the values of x and y, state what theorems or properties you used:
Corresponding angles are congruent:
¿85
Corresponding angles are congruent:
¿30
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REVIEW: Proving Lines are
Parallel
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765
4321
8
CONVERSE THEOREMS:
Corresponding Angles Alternate Interior Angles
Alternate Exterior Angles Vertical Angles
Consecutive Interior Angles Vertical Angles (Postulate)
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𝑚
𝑛𝑥 °72 °
Find the values of x that makes . State the theorem or postulate you used.
Consecutive interior angles are supplementary:
¿108
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𝑚
𝑛
(𝑥+14)°
147 °
Find the values of x that makes . State the theorem or postulate you used.
Alternate exterior angles are congruent:
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Homework #3:
Pg. 900: 1-23