Construction Blueprints A Practice Understanding Task
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1 90 Construction Blueprints A Practice Understanding Task For each of the following straightedge and compass constructions, illustrate or list the steps for completing the construction and give an eplanation for why the construction works. You eplanations may be based on rigid motion transformations, congruent triangles, or properties of quadrilaterals. 0 Purpose of the construction Copying a segment Illustration and/or steps for completing the construction. Set the span of the compass to match the distance between the two endpoints of the segment.. Without changing the span of the compass, draw an arc on a ray centered at the endpoint of the ray. The second endpoint of the segment is where the arc intersects the ray. Justification of why this construction works The given segment and the constructed segment are radii of congruent circles. Copying an angle Bisecting a segment Bisecting an angle Constructing a perpendicular bisector of a line segment Constructing a perpendicular to a line through a given point 0 Mathematics Vision Project MVP Licensed under the Creative Commons Attribution NonCommercial ShareAlike.0 Unported license.
2 9 Constructing a line parallel to a given line through a given point Constructing an equilateral triangle Constructing a regular heagon inscribed in a circle 0 Mathematics Vision Project MVP Licensed under the Creative Commons Attribution NonCommercial ShareAlike.0 Unported license.
3 Ready, Set, Go! Ready Topic: Connecting tables with transformations. Congruence, Construction, and Proof For each function find the outputs that fill in the table. Then describe the relationship between the outputs in each table = g() = 5. t() = h() = 5 Relationship between and g(): Relationship between t() and h():. = g() = ( ). t() = h() = ( - ) Relationship between and g(): Relationship between t() and h(): 0 Mathematics Vision Project MV P Licensed under the Creative Commons Attribution- NonCommercial- ShareAlike.0 Unported license.
4 Congruence, Construction, and Proof 9 Set Topic: Constructing transformations In each problem below use compass and straight edge to construct the transformation that is described. 5. Construct Δ A'B'C' so that it is a translation of Δ ABC. (Hint: parallel lines may be useful.) 6. Construct Δ X'Y'Z' so that it is a reflection of Δ XYZ over line m. (Hint: perpendicular lines may be useful.) 0 Mathematics Vision Project MV P Licensed under the Creative Commons Attribution- NonCommercial- ShareAlike.0 Unported license.
5 Congruence, Construction, and Proof 9 Go Topic: Transformations and triangle congruence. Determine whether or not the statement is true or false. If true, eplain why. If false, eplain why not or provide a countereample. 7. If one triangle can be transformed so that one of its angles and one of its sides coincide with another triangles angle and side then the two triangles are congruent. 8. If one triangle can be transformed so that two of its sides and any one of its angles will coincide with two sides and an angle from another triangle then the two triangles will be congruent. 9. If all three angles of a triangle are congruent then there is a sequence of transformations that will transform one triangle onto the other. 0. If all three sides of a triangle are congruent then there is a sequence of transformations that will transform one triangle onto the other.. For any two congruent polygons there is a sequence of transformations that will transform one of the polygons onto the other. 0 Mathematics Vision Project MV P Licensed under the Creative Commons Attribution- NonCommercial- ShareAlike.0 Unported license.
6 Congruence, Construction, and Proof 95 Find the point of rotation for each of the figures below... Find the line of reflection for each of the figures drawn below Mathematics Vision Project MV P Licensed under the Creative Commons Attribution- NonCommercial- ShareAlike.0 Unported license.
Construction Blueprints A Practice Understanding Task
90 Construction Blueprints A Practice Understanding Task For each of the following straightedge and compass constructions, illustrate or list the steps for completing the construction and give an eplanation
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