Number 1.

Identify the correct two-column proof for this plan. Given: QP ~ MP and NP ~ RP Prove: MN = QR. M P R N Plan: Use the definition of congruent segments to write the given information in terms of lengths. Then use the Segment Addition Postulate to show that MN = QR.\f\fIdentify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures. m/ACD = (5x + 25)", m/BDC = (25x + 35)" B O Alt. Int. zs Thm. mZACD = 45', mzBDC = 135" O Same-Side Int. zs Thm. mZACD = 135", mzBDC = 135 O Alt. Int. zs Thm. mZACD = 135', mzBDC = 45 O Same-Side Int. zs Thm. mZACD = 45' , mzBDC = 135Identify the postulate or theorem that proves p || q. Given: 23 and 27 are supplementary. AP 1 2 56 4 3 7 8 Conv. of Alt. Int. zs Thm. O Conv. of Corr. zs Post. O Conv. of Same-Side Int. 2s Thm. O Alt. Int. zs Thm.Identify the paragraph proof for the two-column proof. Given: m/d = 125 and m/r = 125 Prove: 2d ~ Zr Two-Column Proof 1. m/d = 125 (Given) 2. m/r = 125 (Given) 3. m/d = m/r (Trans. Prop. of = ) 4. Zd ~ Zr (Def. of ~ /s) dCI It is given that mad = 125\" and mgr: 125\". By the Additive Property of Equality, mad = mar. By the denition of complementary angles, and E gr. CI It is given that mad = 125\" and mar: 125\". By the Multiplication Property of Equality, mad: mar. By the denition of supplementary angles, ad E ar. C} It is given that mad = 125\" and mar: 125". By the Transitive Property of Equality, mad = mgr. By the denition of congruent angles, act E gr. C) It is given that mad = 125\" and mar: 125\". By the Division Property of Equality, mad = mar. By the denition of congruent angles, ad E gr. Given points D (-3, -1), F (1, 3), and G (-3, 3), identify A DFG and its reflection across the line y = I. O Ay 4- G -5 -2 2 D -2- -3- 4- -5- O AY 5- 4- G -5 -2 0 1 2 4 D G' D' -4- -5+O F G 5 -4 -3 -2 0 1 2 5 G' D -2- D O AY G F -5 -4 $2 -1 2 D D' G' -4 -5Identify the equation in slope-intercept form for the line containing the points (-4, 1) and (2, 3). O y= O t9 k 4 O y= - + 2 O 09 H 09 -JIdentify a pair of corresponding angles in the diagram. 1 5 6 8 O -1 O true