Download POWERPOINT JEOPARDY

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Line (geometry) wikipedia , lookup

Rotation formalisms in three dimensions wikipedia , lookup

Technical drawing wikipedia , lookup

History of trigonometry wikipedia , lookup

Multilateration wikipedia , lookup

Pythagorean theorem wikipedia , lookup

Perceived visual angle wikipedia , lookup

Integer triangle wikipedia , lookup

Rational trigonometry wikipedia , lookup

Triangle wikipedia , lookup

Compass-and-straightedge construction wikipedia , lookup

Trigonometric functions wikipedia , lookup

Euclidean geometry wikipedia , lookup

Euler angles wikipedia , lookup

Transcript
Tools &
Terms
Polgygons
Angles
Parallel
Lines
Special
Topics
10
10
10
10
10
20
20
20
20
20
30
30
30
30
30
40
40
40
40
40
50
50
50
50
50
What are the measures of
a right angle and a straight
angle? (10 Pts.)
Right Angle: 90 degrees
Straight Angle: 180 degrees
Is a quadrilateral with
angle measures 30°,
85°, 105°, and 140°
possible? (20 Pts.)
- Yes, the sum of the
interior angles is 360°
Name two angles in the
following picture that are
adjacent. (30 Pts.)
< EVD & < DVC
< DVC & < CVB;
< CVB & < BVA
< EVD & < DVB; < EVD & < DVA
< EVD & < DVC;
< CVB & < CVA
What benchmark angles
are used when estimating
the measure of angles?
(40 Pts.)
Use rectangle ABCD with
diagonal DB. Find the
measure of the angle marked
x. (50 Pts.)
B
A
D
x
38°
C
X = 52°. Since ABCD is a rectangle,
it must have four right angles; therefore,
angle BCD must be 90°. A triangle has 180°,
so subtract 90° and 38° from 180° to get the
value of x.
What is the name of a 7sided polygon? (10 Pts.)
Heptagon
What makes a polygon
regular? Or irregular? (20
Pts.)
Regular: Polygon in which all sides are the same length and
all the angles have the same measure
Irregular: Not all sides the same length or angles the
same measure
What is the definition of a
convex polygon? (30 Pts.)
A polygon with all interior angles measuring less than 180°
What is the interior angle
sum of a heptagon?
(40 Pts.)
S = (n-2)180
= (5)180
900 Degrees
How do we find the sum of
interior angles for a
regular polygon? (50 Pts.)
S = (n-2)180
Or
S = 180n - 360
Is a triangle with angle
measures 46°, 50°, and
94° possible? (10 Pts.)
No, the sum is
interior angles
is190°.
What angle measure is
complementary to an
angle of 36°? (20 Pts.)
Complementary angles are two angles that
add up to 90°
So… 90-36= 54°
How do you draw the
exterior angles in the
given polygon? (30 Pts.)
Extend one side and curl towards the adjacent side
What is the relationship
between an interior and
exterior angle of a regular
polygon? (40 Pts.)
They are supplementary angles.
Their degrees add up to 180.
How many degrees are in
one exterior angle of a
regular hexagon? (50 Pts.)
What are two
characteristics of a
parallelogram? (10 Pts.)
Quadrilateral, or 4 sided polygon
Opposite sides are parallel
Opposite angles also equal
What is the definition of a
transversal? (20 Pts.)
A line that intersects two other lines
How are vertical angles
formed? (30 Pts.)
When two lines intersect and four angles are formed.
The opposite pairs of angles are vertical angles.
Suppose the measure of an angle
is 49°. What is the measure of
its complementary angle? Draw
them. (40 Pts.)
Complementary angles add up to 90°.
The complementary angle is 90 - 49° = 41°.
The figure below shows parallel lines and a
transversal. If the measure of angle b is 85° what is the
measure of angles a, d, and f? (50 Pts.)
= 85°
<a = 95°, <d = 85°, <f = 85°
Give an example of a shape
with rotational symmetry.
(10 Pts.)
Star
A triangle has two side lengths of 3 and 5
units. The measurement of the longest side
is missing. Todd says one possibility is for
the unknown side length to be 7.
Do you agree? Why or why not? (20 Pts.)
No, because we know that the sum of the
two shorter sides must be greater than the
longest side for a triangle to be formed.
3+5 is not greater than 7
What are the three ways to
sufficiently describe a
unique triangle? (30 Pts.)
SAS, ASA, SSS
Draw a parallelogram with
two sides of length 4 cm,
two sides of length 2 cm,
and angles 45° and
135°? (40 Pts.)
135°
2 cm
45°
4 cm
Draw and clearly label a
triangle ABC with
AB=5cm, BC = 7cm, and
<ABC = 50°. (50 Pts.)
B
50°
A
C