Question

match the correct figure to each label.

$overrightarrow{cd}$

$overleftrightarrow{cd}$

$angle ctm$

Explanation:

Step 1: Analyze $\overrightarrow{CD}$

A ray $\overrightarrow{CD}$ starts at point C and goes through point D in the direction of D. So we look for the figure where there is a ray with endpoint C and passing through D (right - pointing arrow). The figure in the middle of the bottom row (the fifth figure) has a ray from C to D with a right - pointing arrow, so this matches $\overrightarrow{CD}$.

Step 2: Analyze $\overleftrightarrow{CD}$

A line $\overleftrightarrow{CD}$ extends infinitely in both directions through points C and D. The first figure in the top row has arrows in both directions on the line segment CD, so this represents $\overleftrightarrow{CD}$.

Step 3: Analyze $\angle CTM$

An angle $\angle CTM$ has vertex T and sides $\overrightarrow{TC}$ and $\overrightarrow{TM}$. The third figure in the top row has vertex T and two rays (one to C and one to M), so this represents $\angle CTM$.

Answer:

• $\overrightarrow{CD}$: The figure in the middle of the bottom row (or the fifth figure overall, with C and D and a right - pointing arrow)
• $\overleftrightarrow{CD}$: The first figure in the top row (with C and D and arrows in both directions)
• $\angle CTM$: The third figure in the top row (with vertex T and rays TC and TM)