By: Katherine Hsu and Rachel Tan

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Geometry, P. 6 Mr. Ma
Chapter 2.6 - 2.10
By Katherine Hsu and Rachel Tan
Chapter 2.6
Chapter 2.9
Chapter 2.7
Chapter 2.10 (chapter review)
Chapter 2.8
Graphics all created by Rachel and Katherine
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Chapter 2.6
Right Triangle A triangle with exactly one right
angle.
Acute Triangle An angle whose measure is less
than 90
Obtuse TriangleA triangle with exactly one
obtuse angle.
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Chapter 2.6 cont'd...
Scalene Triangle A triangle with 3 sides of
different lengths.
Isosceles Triangle A triangle with at least two
sides of the same length. The angle between the
two sides of equal length is called the vertex
angle. The side opposite the vertex is called the
base. The two angles opposite the two sides of
equal length are called base angles.
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Chapter 2.6 cont'd...
Median of a Triangle A segment connecting the
midpoint of a side to the opposite vertex.
Altitude of a Triangle A perpendicular segment
from a vertex to the opposite side or the line
containing the opposite side.
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Chapter 2.7
Trapezoid A quadrilateral with exactly one pair
of parallel sides. The parallel sides are called
bases. A pair of angles that share a base as a
common side are called a pair of base angles.
Kite A quadrilateral with exactly two pairs of
distinct congruent consecutive sides. The
angles between each pair of congruent sides
are called the vertex angles. The angle
between each pair of non-congruent sides
are the non-vertex angles.
Parallelogram A quadrilateral in which both
pairs of opposite sides are parallel.
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Chapter 2.7 cont'd...
Rhombus An equilateral parallelogram.
Rectangle An equilateral parallelogram.
Square An equiangular rhombus or an equilateral
rectangle.
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Chapter 2.8
Prism A polyhedron with two faces (bases) that
are congruent and parallel polygons and whose
other faces (lateral faces) are parallelograms
formed by segments (lateral edges) connecting the
corresponding vertex of the bases.
Pyramid A polyhedron with one face (base)
that is a polygon and whose other faces
(lateral faces) are triangles formed by
segments (lateral edges) that connect the
vertex of the base to a point (vertex) not on
the base.
Cylinder The bases of a cylinder are congruent
circles. The segment connecting the centers of
the bases is called the axis of the cylinder. The
radius of the cylinder is the radius of a base.
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Chapter 2.8 cont'd...
Cone The base of a cone is a circle and its
interior and the radius of a cone is the radius
of the base. The vertex of a cone is a point not
in the same plane as the base.
Sphere The set of all points in space at
a given distance from a given point.
The given distance is called the
radius and the given point is
called the center.
Hemisphere Half a sphere.
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Chapter 2.9- A Picture is Worth a Thousand Words
Example (from book)
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Chapter 2.10 (chapter review)
True or False - 1-20 odd numbers
1. The three basic building blocks of geometry
are point, line, and plane .(True) 3. The line
segment from point P to point Q is written in
symbolic form as PQ(with line on top)(True) 5.
The vertex of angle PDQ is point P (False point
D) 7. A scalene triangle is a triangle with no
two sides the same length. (False theres two
sides equal.) 9. If AB (lt-gt on top) intersects CD
(lt-gt) at point P, then ltAPD and ltBPC are a pair
of vertical angles. (True) 11. If two lines lie
in the same plane and are perpendicular to the
same line, then they are parallel. (True) 13. A
trapezoid is a quadrilateral having exactly one
pair of parallel sides. (False two pairs of
parallel sides) 15. A rhombus is a parallelogram
with all the angles equal in measure. 17. To show
that an angle is a right angle, you mark it with
a little box (True) 19. An altitude in a an acute
triangle is a perpendicular line segment
connecting a vertex with the opposite side.
(True)
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Chapter 2.10 (chapter review) -contd(32-39
matching)
32. Acute isosceles triangle (D) 33. Isosceles
right triangle (F) 34. Rhombus (K) 35.
Trapezoid (I) 36. Octagon (J) 37. Prism
(G) 38. Pyramid (B) 39. Cylinder (H)
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Chapter 2.10 (chapter review) -contd
51, 53, 54, 56
51. The box on the right is wrapped with two
strips of ribbon, as shown. What is the minimum
length of ribbon needed to decorate the box? ) (5
x 4) (14 x 2) (9 x 20) 66inches) 53. At one
point in a race, Ringo was 15 feet behind Paul
and 18 feet ahead of John. John was trailing
George by 30 feet. Paul was ahead of George by
how many feet? (3 Feet) 54. Jiminey Cricket is
caught in a windstorm. At 500 p.m he is 500 cm
away from his home. Each time he jumps toward
home he leaps a distance of 5- cm, but before he
regains strength to jump again he is blown back
40 cm. If it takes a full minute from jump to
jump, how long will it take Jiminey to get home?
(50 minutes) 56. When all the diagonals
possible are drawn from one vertex of a polygon,
they divide the polygon interior into 500
triangular regions. How many sides does that
polygon have? (502)
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