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geometry - unit 1b summative - logic & venn diagrams (sy 2025 - 2026) m…

Question

geometry - unit 1b summative - logic & venn diagrams (sy 2025 - 2026) match the statement with the appropriate property of equality. if ab = xy and xy = pq, then ab = pq if ab = xy, then xy = ab if ∠a = 15°, then 2(∠a)=30° if m∠t = 160°, then m∠t + 10 = 170° addition property of equality multiplication property of equality transitive property of equality symmetric property of equality

Explanation:

Brief Explanations

Each statement aligns with a property of equality based on the operation or relationship described. Addition Property involves adding the same value to both sides; Multiplication Property involves multiplying both sides by the same value; Symmetric Property states equality is reversible; Transitive Property links equalities through a common term.

Answer:

If m∠T = 160°, then m∠T + 10 = 170°: Addition Property of Equality
If ∠A = 15°, then 2(∠A) = 30°: Multiplication Property of Equality
If AB = XY, then XY = AB: Symmetric Property of Equality
If AB = XY and XY = PQ, then AB = PQ: Transitive Property of Equality