Two triangles are congruent if and only if their corresponding parts are

Two triangles are congruent if and only if their

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Two triangles are congruent if and only if their corresponding parts are congruent. (CPCTC)
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The seat and legs of this stool form two triangles. Suppose the measures in inches QR =12, RS =23, QS =24, RT =12, TV =24, and RV =23. A) Name the corresponding congruent angles and sides. B) Name the congruent triangles.
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Show that the polygons are congruent by identifying all the congruent corresponding parts. Then write a congruence statement.
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In the diagram, . Find the values of x and y. DFE ABC
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Theorem 4.3 Third Angles Theorem If two angles of one triangle are congruent to two angles of a second triangle, then the third angles of the triangles are congruent.
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The planners of the Senior Banquet decide to fold the dinner napkins using the Triangle Pocket Fold so that they can place a small gift in the pocket. If . , 40 , SRT m find NPQ m and RST NPQ
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Write a two-column proof. Given: Prove: GFE DFE G D GF DF GE DE , , , GEF DEF
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Theorem 4.4 Congruence of triangles is reflexive, symmetric, and transitive.
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Section 4-4 Proving Congruence SSS, SAS
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I CAN…. Use the SSS Postulate to test for triangle congruence. Use the SAS Postulate to test for triangle congruence.
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Postulate 4.1 Side-Side-Side Congruence If the sides of one triangle are congruent to the sides of a second triangle, then the triangles are congruent. Abbreviation: SSS
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Write a proof. Given: and L is the midpoint of Prove: , , JL HL KJ GH GK KJL GHL G J L H K
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The tail of an orca whale can be viewed as two triangles that share a common side. Write a two-column proof to prove that if and . CYA BYA AC AB CY BY
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Included Angle In a triangle, the angle between two given sides. Included Angle
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Postulate 4.2 Side-Angle-Side Congruence If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. Abbreviation: SAS
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Write a two-column proof. Given: X is the midpoint of X is the midpoint of Prove: BXA DXC BD AC
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