Download Chapter 10: angles and triangles

-VOCABULARY
-INTERSECTING
LINES, PARELLEL LINES,
AND TRANSVERSALS
-ANGLES
-TRIANGLES
-CIRCLES
-QUADRILATERALS
-PYTHAGOREAN THEOREM
 LINES:
PERPENDICULAR – a straight line that crosses
another straight line to create a 90⁰ angle.
PARALLEL – a straight line that runs along the
same angle as another straight line and will
never intersect
TRANSVERSAL – a straight line that intersects
two or more lines
MIDPOINT – the point of a line segment that
divides the line segment evenly in two equal
parts
 ANGLES
OPPOSITE ANGLES – non-adjacent angles that
are formed by two intersecting lines
ADJACENT ANGLES – angles that share a
common vertex and a common arm
VERTEX – a special kind of point that describes
the corners or intersections of geometric
shapes
COMPLIMENTARY ANGLES – two angles that add
up to 90 ⁰
RIGHT ANGLE – one angle that is 90 ⁰
 ANGLES
SUPPLEMENTARY ANGLES – two angles that add
up to 180 ⁰
STRAIGHT ANGLE – one angle that is 180 ⁰
CORRESPONDING ANGLES – matching angles
that are formed by transversal and two
parallel lines
CIRCLE – has exactly 360 ⁰
TRIANGLE – HAS EXACTLY 180 ⁰
A
straight line = 180° (1 + 2) (1+4)
 Opposite angles are equal (1 = 3) (2 = 4)
 Perpendicular bisector = 90°
1
4
2
3
 Parallel
lines are the two lines that are at
the same angle and same distance. They will
never intersect.
1
3
 Therefore,
8
if a line intersects with them they
will have corresponding angles. (1 = 3 = 8)
A
straight line that intersects two or more
lines.
 Like
a street that intersects with other
streets
 Creates
4 angles that altogether measure
360° or 2 x 180° straight lines
 Acute
angle is less than < 90°
 Obtuse angle is greater than > 90°
 Right angle is exactly = 90°
Acute
Obtuse
Right
3
sides – 3 angles = 180°
 360°
total (circumference)
 Radian = 2𝜋rad = 360: 180° = 1 radian
 Any
four sided figure (ie. Square, rhombus,
rectangle, trapezoid, parallelogram)
 Interior angles together add up to = 360°
 Specific
to Right-Angle Triangles
 3 sides = Hypotenuse, Adjacent, Opposite
 Hypotenuse =
longest side
opposite right angle
c
 Adjacent/Opposite
are interchangeable
(called “legs”)
 Formula:
a² + b² = c²