Geometry Unit #3(Triangles and Congruent Triangles)

G.CO.6 I can define the term congruent. 4.1
PROOF OF UNDERSTANDING:
Congruent = ______
______/ G.CO.6 I can use corresponding parts of congruent triangles to write a congruency statement. 4.1
PROOF OF UNDERSTANDING:

____________ ______

______ ______
G.CO.6 I can identify and use the reflexive property of congruence. 2.4, 4.1
PROOF OF UNDERSTANDING:

Highlight the side shared Highlight the side shared by both triangles above. by both triangles above. Side ______is congruent Side ______is congruent
to side ______because of to side ______because of
the ______property ______property / G.CO.6, G.CO.12 I can recognize and usespecial segments in a triangle.
PROOF OF UNDERSTANDING:

AD is ______, because it ______angle BAC into ______, <_____ and <______
  1. Draw and mark based on the following descriptions
∆FGH, FP is a median of this triangle, PJ is a midsegment of this triangle
G.CO.6 I can identify common parts in overlapping triangles. 4.4, 4.7
PROOF OF UNDERSTANDING:


Triangle BAC and triangle CDB share side _____.
Triangle MBR and triangle FBH share angle _____.
Triangle GSL and triangle GQL share side _____. / G.CO.6, G.CO.7 I can decide whether triangles are congruent or not based on their markings. 4.1
PROOF OF UNDERSTANDING:

Are the two triangles in figure A congruent? ______
Are the two triangles in figure B congruent? ______
Are the two triangles in figure C congruent? ______
Are the two triangles in figure D congruent? ______
G.CO.8 I can prove two triangles are congruent based on the AAS postulate. 4.3
PROOF OF UNDERSTANDING:
RN bisects <ERV
Statements Reasons / G.CO.8 I can prove two triangles are congruent based on the SSS postulate. 4.2
PROOF OF UNDERSTANDING:

Statements Reasons
G.CO.8 I can prove two triangles are congruent based on the SAS postulate. 4.2
PROOF OF UNDERSTANDING:

Statements Reasons / G.CO.8 I can prove two triangles are congruent based on the ASA postulate. 4.3
PROOF OF UNDERSTANDING:

Statements Reasons
G. Co.A1, Co.D.12 I can draw and classify a triangle based on its sides or/and angles.
PROOF OF UNDERSTANDING:
  1. Draw triangle POR with and the angle included by of 35o.
  2. Use a protractor to measure the angles of each triangle. Classify each triangle by its angles

  1. Use a ruler to measure the sides of each triangle. Classify each triangle by its sides
/ G.CO.9, G.CO.10 I can recognize isosceles triangles. 4.5
PROOF OF UNDERSTANDING:




Highlight all of the isosceles triangles
I can use triangle inequality theorem to draw conclusions about the sides of a triangle.
Proof of understanding:
  1. The lengths of two sides of a triangle are given. Describe the lengths possible for the third side.
4 in., 7 in.
  1. List the sides of each triangle in order from shortest to longest.
/ G.CO.7 I can apply the various properties of congruent triangles to prove that the two triangles below are congruent.(mark the diagram)
Proof of understanding:

I can use properties of triangles to determine measures
Proof of understanding:
  1. Find the measure of <3.
  1. Evaluate m<3, m,4 and m<5
/ I can use properties of isosceles and equilateral triangles to determine measures
Proof of understanding:
  1. Find the measure of angle 2

  1. Find the perimeter of the triangle shown below.