Today – Monday, October 22, 2012

White Board Review

Independent practice/ Check homework

QUIZ 3.1-3.3: Friday

REVIEW: Parallel,

Perpendicular, and Lines

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.

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

REVIEW: Naming Angles

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

REVIEW: Identifying Angles

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:

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

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.

REVIEW: Using Parallel Lines

and Transversal

765

4321

8

THEOREMS:

Corresponding Angles Alternate Interior Angles

Alternate Exterior Angles Vertical Angles

Consecutive Interior Angles Vertical Angles (Postulate)

Find and . Explain your reasoning:

254 °1

Vertical angles are congruent: Corresponding angles are

congruent:

¿54 °54 °=¿

Find and . Explain your reasoning:

295 °1

Consecutive Interior angles are supplementary:

Alternate Interior angles are congruent:

¿85 °¿95 °

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:

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 °

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

REVIEW: Proving Lines are

Parallel

765

4321

8

CONVERSE THEOREMS:

Corresponding Angles Alternate Interior Angles

Alternate Exterior Angles Vertical Angles

Consecutive Interior Angles Vertical Angles (Postulate)

𝑚

𝑛𝑥 °72 °

Find the values of x that makes . State the theorem or postulate you used.

Consecutive interior angles are supplementary:

¿108

𝑚

𝑛

(𝑥+14)°

147 °

Find the values of x that makes . State the theorem or postulate you used.

Alternate exterior angles are congruent:

Homework #3:

Pg. 900: 1-23