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(01.06 LC) Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?

(01.03 MC) Natalie is completing construction of an equilateral triangle inscribed in a circle, as shown below: What should be the next step in her construction?

(01.03 MC) Jaira is completing construction of a regular hexagon inscribed in a circle, as shown below: What should be the next step in her construction?

(01.02 MC) Ben uses a compass and a straightedge to bisect angle PQR, as shown below: Which statement best explains why Ben uses the same width to draw arcs from A and B that intersect at S?

(01.03 LC) What is a necessary step for constructing perpendicular lines through a point off the line?

(01.02 MC) Ben uses a compass and straightedge to bisect , as shown: Which statement best explains why Ben must open the compass to a width greater than half of ?

(01.07 MC) Fill in the missing statement and reason in the proof of the corresponding angles theorem. It is given that is parallel to and points E, G, H, and F are collinear. The measure of ∠EGF is 180°, by the definition of a straight angle. ∠AGE and ∠AGF are adjacent, so the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠EGF, by the Angle Addition Postulate. Then, substituting for the measure of ∠EGF it can be said that the measure of ∠AGE plus the measure of ∠AGF equals 180°. ________, so the measure of ∠CHE plus the measure of ∠AGF equals 180°. Substituting once again means that the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠CHE plus the measure of ∠AGF. The measure of ∠AGE is equal to the measure of ∠CHE ________. Finally, by the definition of congruence, ∠AGE is congruent to ∠CHE.

(01.01 LC) Which of the following is an undefined term?

(01.07 MC) Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing justification in the proof?   Statement Justification with transversal Given m∠AGE ≅ m∠HGB Vertical Angles Theorem m∠HGB ≅ m∠CHE Alternate Interior Angles Theorem m∠AGE ≅ m∠CHE  

(03.01 MC) Line g is dilated by a scale factor of from the origin to create line g’. Where are points E’ and F’ located after dilation, and how are lines g and g’ related?