Download Geometry Unit #4 (polygon congruence, triangle congruence) G.CO

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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:
?
?