Congruent triangles

Congruent Triangles

Let's Recall

Which of the following geometric figures are congruent?

Poll

Which of the following geometric figures are congruent?

​Let's Discuss

​

Remember!

The pairs of angles whose vertices are paired in a given correspondence between two triangles are called corresponding angles.

The pairs of segments whose endpoints are vertices are paired in a given correspondence between two triangles are called corresponding sides.

Remember!

Draw

𝛥𝐶𝐴𝑇 ≅ 𝛥𝐷𝑂𝐺. Write down the pairs of corresponding parts.

Remember!

Congruent angles are angles that have the same measure.

Congruent segments are segments that have the same length.

Congruent figures are figures of the same size and shape.

Draw

Given that the two triangles below are congruent, list the pairs of congruent angles and congruent sides and then name the congruent triangles.

Draw

Consider 𝛥𝐹𝐴𝐸 ≅ 𝛥𝑇𝐸𝐴. List down the pairs of congruent angles and congruent sides.

Draw

Assume that segments and angles in the numbered triangles are congruent. Identify which triangles are congruent.

Activity 1

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then  $$\angle F\ \leftrightarrow$$ _____.

• $$\angle N$$  

• $$\angle P$$  

• $$\angle R$$  

• $$\angle F$$  

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then  $$\angle G\ \leftrightarrow$$ _____.

• $$\angle H$$  

• $$\angle R$$  

• $$\angle P$$  

• $$\angle F$$  

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then  $$\angle H\ \leftrightarrow$$ _____.

• $$\angle F$$  

• $$\angle P$$  

• $$\angle G$$  

• $$\angle R$$  

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then  $$\overline{FG}\ \leftrightarrow$$ _____.

• $$\overline{NR}$$  

• $$\overline{NP}$$  

• $$\overline{PR}$$  

• $$\overline{GH}$$  

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then   $$\overline{GH}\ \leftrightarrow$$ _____.

• $$\overline{NP}$$  

• $$\overline{PR}$$  

• $$\overline{FG}$$  

• $$\overline{NR}$$  

Multiple Choice

If $$\Delta FGH\ \leftrightarrow\ \Delta NPR$$ , then  $$\overline{FH}\ \leftrightarrow$$ _____.

• $$\overline{NP}$$  

• $$\overline{PR}$$  

• $$\overline{NR}$$  

• $$\overline{FG}$$  

Activity 2

Fill in the Blank

$$\overline{AD}\ \leftrightarrow$$ _____

Fill in the Blank

$$\overline{BC}\ \leftrightarrow$$ _____

Fill in the Blank

$$\overline{BD}\ \leftrightarrow$$ _____

Fill in the Blank

$$\angle A\ \leftrightarrow$$ _____.

Fill in the Blank

$$\angle ABD\ \leftrightarrow$$ _____

Fill in the Blank

$$\angle CDB\ \leftrightarrow$$ _____