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G.GSR.4.3 Which of the following is a valid formal geometric construction using compass and straightedge?

G.GSR.4.3 Which of the following is a valid formal geometric construction using compass and straightedge?
A. Measuring the angle with a protractor and drawing a new angle with the same degree measure
B. Drawing an angle that looks the same as the original angle
C. Using a ruler to measure and a protractor to verify the angle size
D. Copying an angle by matching arc radii at the vertex and on the new ray
G.GSR.4.5 Triangle ABC is similar to triangle DEF by the AA (Angle-Angle) criterion. Which conclusion is valid?
A. The triangles are congruent because they have two pairs of congruent angles
B. All three angles must be equal for AA similarity to apply
C. The corresponding angles are congruent, and the corresponding sides are proportional
D. AA similarity means the sides are congruent, not just proportional
G.GSR.4.2 To prove that a quadrilateral in the coordinate plane is a rectangle, which algebraic properties must you verify?

Answer

  1. G.GSR.4.3: D. Copying an angle by matching arc radii at the vertex and on the new ray

  2. G.GSR.4.5: C. The corresponding angles are congruent, and the corresponding sides are proportional

  3. G.GSR.4.2: To prove that a quadrilateral is a rectangle, you must verify that all angles are right angles (90 degrees) and that opposite sides are equal in length.

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