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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: ? ?