Math #4 Angles & Parallel Lines - 8A
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64 Terms
What is an intersecting line
a line that crosses or meets another line at a point
what’s the common point of 2 intersecting lines
intersection point
What is a perpendicular line
Perpendicular lines are two lines that intersect to form a right angle (90°)
whats this symbol stand for ⊥
perpendicular lines
What is a parallel line?
Lines that never meet.
whats this symbol stand for
parallel lines
whats this symbol stand for
intersecting
What is a bisector?
Bisector is a line that divides something into two equal parts
what’s a perpendicular bisector
a line that intersects a line segment to form two 90* angles and divides this line segments into two equal lengths
what are opposite angles
non adjacent angles that are formed by two intersecting lines
What is a complementary angle?
Two angles that add up to 90 degrees.
what are supplementary angles
Two angles that add up to 180 degrees.
what’s a straight angle
An angle that measures exactly 180 degrees.
Which angles are supplementary angles?
∠1 and ∠2 , ∠2 and ∠3 ,∠3 and ∠4 , ∠1 and ∠4
solve and state the rule
∠1 = 120° (opposite to ∠3)
180 - 120 = 60° (supplementary to ∠1 or ∠3 )
60° (opposite to ∠2 and supplementary to ∠1 or ∠3
solve and state the rule
<4 = 34° (opposite to <2)
180-34 = 146° (supplementary to <1 or <3)
146° (opposite to <4 and supplementary to <1)
solve for 1
146°
What’s a transversal
a straight line that crosses at least two other lines
what’s an alternate angle
An angle formed on opposite sides of a transversal, between two lines.
what letter do alternate angles form
Z
What are corresponding angles
in matching corners of the transversal
what letter do corresponding angles form
F
what are interior angles
angles that lie between two parallel lines on the same side of the transversal.
what letter do interior angles form
C
interior angles ____
add up to 180
corresponding angles ____
are equal
alternate angles ____
are equal
What is the relationship between angles 2 and angle 8?
180°
what’s y
160°
what’s x
20°
whats c
75°
what’s b
75°
what’s m
30°
what’s c
140°
The three angles in any triangle always add up to make a total of
180°
Two lines that intersect and form right angles?
perpendicular line
Two lines that remain the same distance apart at all times and never intersect?
parallel lines
line that divides something into two equal parts?
bisector
Line that intersects a line segment to form two 90° angles and divides this line segment into two equal lengths?
perpendicular bisector
Non-adjacent angles that are formed by two intersecting lines?
opposite angle
Two angles whose sum is 180°?
supplementary angle
Angle/line that measures 180°?
straight line / angle
Angle that hold the same relative position at the point of intersection where a line crosses two others?
corresponding angles
Straight line that crosses at least two other lines?
transversal
n a right angled triangle, the two non-right angles (in the figure, a and b) are complementary. Why?
the three angles add to 180° and the right angle takes up 90°... so the other two must add to the other 90
measure of <a
50°
measure of <b
55°
Opposite angles are
equal
“Z” rule
alternate angles are equal
“F” rule
corresponding angles are equal
“C” rule
interior angles add to 180
solve for z
110°
solve for h
53°
solve for g
44°
solve for x
76°
solve for y
28°
solve for a
57°
solve for b
64°
solve for c
116
What is a Quadrilateral?
A 4 sided polygon
What is the sum of the interior angles of
any quadrilateral?
360°
solve for x
56°
do trapezoid diagonals meet up at 90°
no