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Congruent Triangles and Figures

Congruent Triangles and Figures. Congruent Triangles. Two triangles are congruent if their vertices can be matched up so that corresponding angles AND sides of the triangles are congruent. Congruence Statement: Δ RED =~ Δ FOX. <R = F RE = FO <E = O ED = OX <D = X RD = FX.

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Congruent Triangles and Figures

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  1. Congruent Triangles and Figures

  2. Congruent Triangles • Two triangles are congruent if their vertices can be matched up so that corresponding angles AND sides of the triangles are congruent.

  3. Congruence Statement: ΔRED =~ ΔFOX • <R = F • RE = FO • <E = O • ED = OX • <D = X • RD = FX

  4. Examples D C • ΔABO=~ CDO • <A = C • AO = CO • BO = DO • B corresponds to H • BLACK =~ HORSE • m<K = m<E • KB= 4 = EH • If CA is perpendicular to LA, name to right <s: • <CAL and <SRO O A B K S E C B R H L A O

  5. Given ΔBIG =~ ΔCAT, BI = 14, IG = 18, BG = 21, CT = 2x + 7. Find x. x=7

  6. The following Δ’s are =~, complete the congruence statement. X Y • ΔYWZ =~ • ΔMQN =~ • ΔWTA =~ ΔWYX W Z ΔOPN M N O Q P C W ΔCHA A T H

  7. ΔLMC =~ ΔBJK • LC = BK • KJ = MC • JB = ML • <L = <B • <K = <C • <M = <J • ΔCML =~ ΔKJB • ΔKBJ =~ ΔCLM

  8. Can you conclude that ΔABC =~ ΔCDE in the figure below? E 3 4 B C D 4 3 A

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