Geometry Chap 6 Mid test Triangle Congruence

Explain completely why the triangles are similar.

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Calculate the value of the variable x in the diagram.

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Calculate the value of the variable s in the diagram.

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Explain, in your own words, what it means for two figures to be congruent.

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List the five different methods for showing two triangles are congruent.

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If ΔATE ≅ ΔAGE and m∠Z = 82°, can m∠1 = 47°? Justify your answer.

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For the following conditional statement below, accept it as true.

If you can see the moon, then it must be midnight.

A. Write the converse of the If-Then statement above.

B. State whether the converse is always true, sometimes true, or never true. Justify your answers completely.

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For the following conditional statement below, accept it as true.

If a quadrilateral is a square, then the quadrilateral is a parallelogram.

A. Write the converse of the If-Then statement above.

B. State whether the converse is always true, sometimes true, or never true. Justify your answers completely.

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The triangles on the right are congruent. Justify their congruency with a flowchart or with a detailed paragraph. Add as much detail as you can to describe how the triangles are congruent.

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For each pair of triangles, decide if they are congruent. If they are congruent, write the congruence statement (e.g., ΔABC ≅ Δ...) and the congruence property (SSS, SAS, etc.) that proves it. If not, say 'not ≅.' NOTE: These are not drawn to scale.

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