Illustrative Math Geometry: Congruence

2/8-9 Geo Triangle Congruence

Congruent Triangles

Vocabulary

• Corresponding Angles: Angles in the same position of two congruent triangles (polygons)

• Corresponding Sides: Sides in the same position of two congruent triangles (polygons)

• Congruent Polygons: Two polygons that are the same size and shape with corresponding angles and sides congruent.

Multiple Choice

Which statement indicates that the triangles in each pair are congruent?

• ∆LMK ≅ ∆LMT

• ∆LTKM ≅ ∆LMT

• ∆LMK ≅ ∆TMK

• ∆TMK ≅ ∆TLK

• None of these

Multiple Choice

If ∆LMK ≅ ∆LMT, then

∠K ≅ ____

• ∠M

• T

• ∠T

• ∠L

• NOne of these

Multiple Choice

Remember order matters. Which of the following is true?

• ∆FGH ≅ ∆VHW

• ∆HGF ≅ ∆VHW

• ∆HFG ≅ ∆HWV

• ∆FGH ≅ ∆VWH

Vocabulary

• Triangle rigidity: If the side lengths of a triangle are given, the triangle can have only one shape.

• Included angle: An angle formed by two adjacent sides of a polygon.

Multiple Choice

Which is a correct congruence statement?

• A

• B

• C

• D

Multiple Choice

Which statement would make these 2 triangles congruent by SSS?

• 
  

  $$\overline{DE}\cong\overline{AB}$$

• $$\overline{BA}\cong\overline{ED}$$

• $$\overline{ED}\cong\overline{AB}$$

• $$\overline{CA}\cong\overline{CE}$$

Multiple Choice

Complete the congruence statement.

• OEG

• EGO

• OGE

• GEO