(01.06 MC) Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AB = 10.

(03.05 MC) Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC?

(03.02 MC) The vertices of ΔABC are A (1, 5), B (3, 9), and C (5, 3). The vertices of ΔDEF are D (−3, 3), E (−2, 5), and F (−1, 2). Which conclusion is true about the triangles?

(01.07 MC) Julia is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠FHD 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∠FHD   ∠AGE ≅ ∠FHD Transitive Property

(02.06 MC) In a quadrilateral ABCD, the diagonals intersect at point T. Heather has used the Alternate Interior Angles Theorem to show that angle ABD is congruent to angle CDB and that angle BAC is congruent to DCA. Which of the following can Heather use prove that segment DT is equal to segment TB?

(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?

(03.05 MC) Camden is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. If segments DE and AB are parallel, which of the following expressions will help Camden determine the length of DC?

(03.06 MC) If point E is the midpoint of and point D is the midpoint of , which expression represents the value of s?

(03.06 MC) If point E is the midpoint of and point D is the midpoint of , which expression represents the value of u?

(01.07 MC) Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem. It is given that is parallel to and points E, G, H, and F are collinear. ________ by the Vertical Angles Theorem. ∠AGF and ∠CHF are corresponding and congruent according to the Corresponding Angles Theorem. Finally, ∠EGB and ∠CHF are congruent by the ________.