1.2 Segments and Congruence

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Presentation transcript:

1.2 Segments and Congruence Mrs. Vazquez Class

G.CO.1 Essential Question: What are congruent segments? Objective: Students will be able to use segment postulates to identify congruent segments.

Ruler postulate The distance between two points is the absolute value of the difference of their coordinates. distance of AB = | B - A | A = 3in B = 6in AB = |6 - 3| AB = 3in

Segment Addition postulate If M is between P and Q, then PM MQ PQ. If PM MQ PQ, then M is between P and Q.

Apply Segment addition postulate If Y is between X & Z, then XY + YZ = XZ. If XZ = 17 & YZ = 11, then XY + 11 = 17. Subtraction Property of Equality -11 -11 XY = 6 units

Apply Segment addition postulate If OQ = 3x - 16; QP = 4x - 8; OP = 60. Find the value of x. Then find OQ and QP. OQ + QP = OP (3x - 16) + (4x - 8) = 60 7x - 24 = 60 7x = 84 x = 12 OQ = 20 QP = 40

congruent (≅) segments line segments that have the same length * ≅ segments are marked with corresponding ticks EF ≅ HG AB ≅ CD

Compare segments for congruence plot A(-2,4); B (3,4); C (0,2); D (0, -2). Determine whether AB & CD are ≅ A B AB = 5 units CD = 4 units C D AB ≆ CD