Fall Semester Review - Part 3

 Determine whether the following lines are parallel, perpendicular or neither.(HINT: Look for the slopes in each equation.) 

Line 1:  $y=6x-\frac{1}{2}$            Line 2:  $y=-\frac{1}{6}x-9$  

• Parallel

• Perpendicular

• Neither

Find the length of the base of the isosceles triangle.

(HINT: Set two sides equal to each other and solve for “x”.

Then, substitute for “x”.)

• 35

• 14

• 13

What is the perimeter of this equilateral triangle?

(HINT: Set two sides equal to each other and solve for “x”.

Then, substitute for “x” to find each side length.)

• 72

• 24

• 4

Find the value of x .

(HINT: Consecutive Interior Angles are supplementary.)

• 3

• 5

• 42

Which of the following is perpendicular to the line       $y=-4x+3$  ?
(HINT: Perpendicular slopes are opposite, reciprocals.)

•  $y=\frac{1}{4}x+5$  

•  $y=-\frac{1}{4}x+5$  

•  $y=4x+5$  

Using the figure, what is the reason for $\angle ABE\cong\angle DBC$  ?

• Vertical Angles Theorem

• Definition of Midpoint

• Alternate Interior Angles Theorem

Which best describes the type of triangle?

• Acute Scalene

• Obtuse Isosceles

• Obtuse Scalene

What is the measure of $\angle CBD$ ?

(HINT: Remote interior angles equal the exterior angle.) 

•  $15\degree$  

•  $25\degree$  

•  $150\degree$  

Which of the following is a valid congruence statement based on the figure?

• $\Delta ABC\cong\Delta DEF$

• $\Delta ACF\cong\Delta DFB$

• $\Delta ABE\cong\Delta CDF$