Make a two-column proof showing statements and reasons to prove that triangle ABD is similar to triangle ABC.

(10 points)

17.

Look at the figure shown below.

A student made the table below to show the steps to prove that DC is equal to EC.

StatementsJustifications1. Side AC of triangle ACE is equal to side BC of triangle BCD. Given 2. Angle EAC of triangle ACE is equal to angle DBC of triangle BCD. Given 3. Angle ACE = angle ACD + angle DCE From the figure 4. Angle DCB = angle ECB + angle DCE = angle ACD + angle DCE From the figure angle ECB = angle ACD 5. 6. Triangle DBC is congruent to triangle EAC. ASA Postulate 7. DC = EC The corresponding sides of congruent triangles are equal.

A. Provide the missing statement and justification in the proof.

B. Using complete sentences, explain why the proof would not work without the missing step.(8 points)

18.

The figure below shows a kite labeled PQRS.

Write a 2-column, paragraph, or flow-chart proof to show that angle PQR is congruent to angle PSR.(10 points)

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I have no idea how to do this!!! -_- please teach me how!! Its for a test!! HELP!!!!