Survey

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

Document related concepts

Simplex wikipedia, lookup

Dessin d'enfant wikipedia, lookup

Steinitz's theorem wikipedia, lookup

Golden ratio wikipedia, lookup

Line (geometry) wikipedia, lookup

Technical drawing wikipedia, lookup

History of geometry wikipedia, lookup

Rational trigonometry wikipedia, lookup

Apollonian network wikipedia, lookup

Trigonometric functions wikipedia, lookup

Four color theorem wikipedia, lookup

Reuleaux triangle wikipedia, lookup

History of trigonometry wikipedia, lookup

Euclidean geometry wikipedia, lookup

Pythagorean theorem wikipedia, lookup

Integer triangle wikipedia, lookup

Transcript
```Geometry Unit #4 (polygon congruence, triangle congruence)
G.CO.6 I can define the term congruent. 4.1
PROOF OF UNDERSTANDING:
G.CO.6 I can name corresponding parts of congruent
polygons – write a congruency statement. 4.1
PROOF OF UNDERSTANDING:
Congruent = _________________________________
____________________________________________
__________
__________
G.CO.6 I can identify and use the reflexive property
of congruence. 2.4, 4.1
PROOF OF UNDERSTANDING:
G.CO.6, G.CO.12 I can recognize and construct
bisected angles or sides of triangles. 4.5, 5.1, 5.2
PROOF OF UNDERSTANDING:
Highlight the side shared
by both triangles above.
Angle A has been bisected into angles _____ & _____
Side _______ is congruent
to side ______ because of
the reflexive property of
congruence.
Line 3 has bisected side _____
True or False: Line 1 has bisected side AB.
True or False: Angle bisectors cut angles in half.
True or False: The triangle side bisectors meet at 1 point.
G.CO.6 I can identify common parts in overlapping
triangles. 4.4, 4.7
PROOF OF UNDERSTANDING:
G.CO.6, G.CO.7 I can decide whether triangles are
congruent or not based on their markings. 4.1
PROOF OF UNDERSTANDING:
Triangle BAC and triangle CDB share side _____.
Triangle MBR and triangle FBH share angle _____.
Triangle GSL and triangle GQL share side _____.
Are the two triangles in figure A congruent? _______
Are the two triangles in figure D congruent? _______
Geometry Unit #4 (polygon congruence, triangle congruence)
G.CO.10, G.CO.12 I can demonstrate that the
bisectors of a triangle meet at a point (incenter,
circumcenter). 5.3
PROOF OF UNDERSTANDING:
G.CO.8 I can prove two triangles are congruent
based on the SSS postulate. 4.2
PROOF OF UNDERSTANDING:
Statements
Reasons
Bisect all three angles by paper folding (use patty
paper) to find the incenter. Then inscribe a circle.
Bisect at least 2 sides of a triangle by paper folding
(use patty paper) to find the circumcenter. Then
circumscribe a circle through all three vertices using a
compass.
G.CO.8 I can prove two triangles are congruent based
on the SAS postulate. 4.2
PROOF OF UNDERSTANDING:
Statements
G.CO.8 I can prove two triangles are congruent
based on the ASA postulate. 4.3
PROOF OF UNDERSTANDING:
Reasons
Statements
Reasons
Geometry Unit #4 (polygon congruence, triangle congruence)
G.CO.8 I can prove two triangles are congruent based
on the AAS postulate. 4.3
PROOF OF UNDERSTANDING:
Statements
G.CO.9, G.CO.10 I can recognize isosceles triangles.
4.5
PROOF OF UNDERSTANDING:
Reasons
Highlight all of the isosceles triangles above and
below:
G.CO.8 I can graph a triangle on the coordinate
plane, perform a transformation, and prove that the
image/preimage are congruent. 9.1, 9.2, 9.3, 4.1
PROOF OF UNDERSTANDING:
Graph triangle A(2,1) B(4,1) C (4,5). Reflect the
triangle over the y-axis. Prove that the two triangles
are congruent using SSS or SAS congruence.
Statements
Reasons
G.CO.7 I can apply the various properties of
congruent triangles to prove that the two triangles
below are congruent. (mark the diagram) Chpt 4
Geometry Unit #4 (polygon congruence, triangle congruence)
G.CO.1, G.CO.9, G.CO.10 I can use the properties of
isosceles triangles to find missing angles or side
lengths (angle and perpendicular bisector theorems).
4.5, 5.2
PROOF OF UNDERSTANDING:
G.CO.1 I can recognize and name the parts (sides) of
any right triangle (leg, leg, hypotenuse). 4.6
PROOF OF UNDERSTANDING:
_______________
______
F
_________
J
Draw line segment AC. Triangle ABC is an isosceles
triangle. Ray BC is a perpendicular bisector – mark it
with a right angle at the base of the triangle.
If the distance from point C to ray BD is 10, what is
the distance from point A to ray BD? __________
If the distance from D to J is 22, what is the distance
from D to F? __________
If the m<CBD = 39°, what is the m<BAC? __________
G.CO.10, G.CO.13 I can construct an equilateral
triangle inscribed in a circle. 4.5, 5.3
PROOF OF UNDERSTANDING:
G.SRT.8 I can use the Pythagorean Theorem correctly
to find missing sides of right triangles. 8.1
PROOF OF UNDERSTANDING:
?
?
```