Question

date
one plucked peacock
find the diagram that matches each description. write the letter on the line. hint: some pictures will be used more than once.

1. $overleftrightarrow{ac}$ intersects $overleftrightarrow{bc}$
2. $overline{dc}$ is parallel to $overline{ab}$
3. $overleftrightarrow{ab}$ and $overleftrightarrow{cd}$ are parallel
4. $overline{ab}$ is perpendicular to $overline{bc}$
5. $overleftrightarrow{ad}$ intersects $overleftrightarrow{bc}$
6. point c is on ray $overrightarrow{ab}$
7. $overleftrightarrow{ab}$ intersects $overleftrightarrow{ac}$ at point a
8. $overleftrightarrow{ab}$ is perpendicular to $overleftrightarrow{cd}$
9. c is the midpoint of $overline{bd}$
10. $overleftrightarrow{ef}$ intersects $overleftrightarrow{ad}$
11. $overline{ab}$ intersects $overline{bc}$
12. $overleftrightarrow{ca}$ intersects $overleftrightarrow{dc}$
13. $overleftrightarrow{ac}$ and $overleftrightarrow{db}$ are parallel
14. $overline{ca}$ is perpendicular to $overleftrightarrow{ab}$
15. $overleftrightarrow{cd}$ intersects $overleftrightarrow{db}$

did you hear the story about the peacock that lost its feathers?
to answer the riddle, write each letter on its matching numbered line or lines.
7 8 5 2 6 11
3 9 2 13 8 7 4 1 12
\8 11 7 12\
w
f
i
a
s
l
u
t
b
e
bonus: draw a diagram that shows $overleftrightarrow{ce}$ parallel to $overleftrightarrow{ab}$ and perpendicular to $overleftrightarrow{df}$.

Explanation:

Step1: Analyze statement 1

Look for a diagram where lines $\overleftrightarrow{AC}$ and $\overleftrightarrow{BC}$ intersect. Diagram W has such intersecting lines.

Step2: Analyze statement 2

Find a diagram where $\overleftrightarrow{DC}$ is parallel to $\overleftrightarrow{AB}$. Diagram A shows parallel - line segments $\overline{DC}$ and $\overline{AB}$.

Step3: Analyze statement 3

Search for a diagram where $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$ are parallel. Diagram A also satisfies this as the lines containing $\overline{AB}$ and $\overline{CD}$ are parallel.

Step4: Analyze statement 4

Look for a diagram where $\overleftrightarrow{AB}$ is perpendicular to $\overleftrightarrow{BC}$. Diagram F has perpendicular lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{BC}$.

Step5: Analyze statement 5

Find a diagram where $\overleftrightarrow{AD}$ intersects $\overleftrightarrow{BC}$. Diagram A has these intersecting lines.

Step6: Analyze statement 6

Search for a diagram where point C is on ray $\overrightarrow{AB}$. Diagram S has point C on ray $\overrightarrow{AB}$.

Step7: Analyze statement 7

Look for a diagram where $\overleftrightarrow{AB}$ intersects $\overleftrightarrow{AC}$ at point A. Diagram I has these intersecting lines at point A.

Step8: Analyze statement 8

Find a diagram where $\overleftrightarrow{AB}$ is perpendicular to $\overleftrightarrow{CD}$. Diagram T has perpendicular lines $\overleftrightarrow{AB}$ and $\overleftrightarrow{CD}$.

Step9: Analyze statement 9

Search for a diagram where C is the mid - point of $\overline{BD}$. Diagram E has C as the mid - point of $\overline{BD}$.

Step10: Analyze statement 10

Look for a diagram where $\overleftrightarrow{EF}$ intersects $\overleftrightarrow{AD}$. Diagram W has these intersecting lines.

Step11: Analyze statement 11

Find a diagram where $\overleftrightarrow{AB}$ intersects $\overleftrightarrow{BC}$. Diagram F has these intersecting lines.

Step12: Analyze statement 12

Search for a diagram where $\overleftrightarrow{CA}$ intersects $\overleftrightarrow{DC}$. Diagram U has these intersecting lines.

Step13: Analyze statement 13

Look for a diagram where $\overleftrightarrow{AC}$ and $\overleftrightarrow{DB}$ are parallel. Diagram U has parallel lines $\overleftrightarrow{AC}$ and $\overleftrightarrow{DB}$.

Step14: Analyze statement 14

Find a diagram where $\overleftrightarrow{CA}$ is perpendicular to $\overleftrightarrow{AB}$. Diagram T has perpendicular lines $\overleftrightarrow{CA}$ and $\overleftrightarrow{AB}$.

Step15: Analyze statement 15

Search for a diagram where $\overleftrightarrow{CD}$ intersects $\overleftrightarrow{DB}$. Diagram B has these intersecting lines.

Answer:

1. W
2. A
3. A
4. F
5. A
6. S
7. I
8. T
9. E
10. W
11. F
12. U
13. U
14. T
15. B