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(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?

(01.06 MC) Solve for x:

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

(02.04 LC) In ΔCAB, point E is the midpoint of and point D is the midpoint of . If the measure of is 8 units, what is the measure of segment ?

(02.04 MC) Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:   Statements Reasons ∠QRY ≅ ∠PQR Alternate Interior Angles Theorem Draw line ZY parallel to Construction m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY Angle Addition Postulate ∠ZRP ≅ ∠RPQ Alternate Interior Angles Theorem m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution m∠ZRY = 180° Definition of a Straight Angle m∠RPQ + m∠PRQ + m∠PQR = 180° Substitution Which statement will accurately correct the two-column proof?

(01.03 MC) Robert is completing construction of a square inscribed in a circle, as shown below. What should be the next step in his construction?