Construct Congruent Segments

Congruent Line Segment

By Fely Mandawe

• visualizes, identifies, and draws congruent line segments

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What you'll learn today?

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Draw

Circle the figure that shows the line segment.

Draw

Circle the figure that shows the line segment.

Line segment MN

or line segment NM

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Naming line segments.

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Draw

Name the line segments.

Draw

Name the line segments.

Which line segment have the same length?​

Have the same length or congruent line segments (≅)

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Doesn't have the same length or not congruent line segments (≇)

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Congruent Line segments

• If the two line segments have the same or equal length.

• The symbol ≌​ is read as "is congruent to".

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What do you observe about the lengths of these pairs of line segments?

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​A̅B̅ and A̅E̅

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B̅​E̅ and C̅D̅

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F̅​H̅ and G̅I̅

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​Get a ruler and examine the lengths of the pairs of line segments on Page 370.

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Constructing Congruent Segments

Construct a segment congruent to Line segment AB.

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1. Draw a line using a ruler.

2. Mark a point on the line. Call it point C.

3. Get the length of line segment AB. Then, align the ruler to the line you made in Step 1. Place the "zero" mark of the ruler at point C. From "zero" make the same length as line segment AB by marking the other endpoint.

4. Call the other endpoint as point D.

5. ​The two endpoints and everything in between the two endpoints make line segment CD which is congruent to line segment AB.

Draw

Constructing Congruent Segments

Multiple Choice

Is $$\overline{AE}\ and\ \overline{BD}$$   are congruent?

• True

• False

Multiple Choice

Is $$\overline{AB}\ and\ \overline{ED}$$   are congruent?

• True

• False

Multiple Choice

Is $$\overline{AD}\ and\ \overline{EC}$$   are congruent?

• True

• False

Multiple Choice

Is $$\overline{BC}\ and\ \overline{BE}$$   are congruent?

• True

• False