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Mathematics / Congruence and Similarity

Mathematics / Congruence and Similarity

8.G.1. Verify experimentally the properties of rotations, reflections, and translations:
a. Lines are taken to lines, and line segments to line segments of the same length.
b. Angles are taken to angles of the same measure.
c. Parallel lines are taken to parallel lines.
8.G.2. Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
8.G.3. Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
8.G.4. Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
8.G.5. Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Exercises
Topics
Exercises
Topics
  • Similarity of Triangles

    Tags : Similar figures, properties of similar figures, identify similar figures, ratio of sides, perimeter and area of similar figures, calculate lengths and angles.

    • Questions: 319

    Congruence of Two Triangles

    Tags : Congruent figures, properties of congruent figures, identify congruent figures and explain why they are congruent, congruency axioms and rules, calculate lengths and angles of congruent figures.

    • Questions: 319

    Transformations

    Tags : reflection,rotation,translation,graphs,Coordinate-graph,co-ordinates,image,transformation,clockwise rotation,anticlockwise rotation,90 degree rotation,180 degree rotation,1/2 turn,1/4 turn,3/4 turn.

    • Questions: 15
    • Transformations
    • Similar and congruent figures
    • Angles

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