CPM Homework Help : CCG Problem 7-76

For either part (a), (c), or (d) of problem 7-75, create a flowchart to prove your conclusion. Remember to start with the given information and include a reason or justification for each bubble in your flowchart.

Step 1:

Label each vertex. Start on the left with $A$ , going clockwise label them $B$ , $C$ , and $D$ .

Quadrilateral A, B, C, D, has a line segment A, C, forming 2 internal triangles. Sides, A, B and A, D have one tick mark. Sides B, C, and C, D, have 2 tick marks.

Answer:

Given $\enclose{circle}[mathcolor="red"]{\color{black}{\; \\ \qquad \overline{AB} \cong \overline{AD} \qquad \\}}$	Given $\enclose{circle}[mathcolor="red"]{\color{black}{\; \\ \qquad \overline{BC} \cong \overline{CD} \qquad \\}}$	Reflexive $\enclose{circle}[mathcolor="red"]{\color{black}{\; \\ \qquad \overline{AC} \cong \overline{CA} \qquad \\}}$
$\huge \searrow$ Bubble 1 has an arrow pointing down to bubble 4.	$\huge \downarrow$ Bubble 2 has an arrow pointing down to bubble 4.	$\huge \swarrow$ Bubble 3 has an arrow pointing down to bubble 4.
	$\enclose{circle}[mathcolor="red"]{\color{black}{\; \\ \qquad \triangle ABC \cong \triangle ADC \qquad \\}}$ $\quad \quad \quad \quad \quad \quad \quad SSS \cong$