4.2B Proving Triangles are Congruent

Identify any figures that can be proved congruent. Explain your reasoning. For those that can be proved congruent, write a congruence statement.

• △ADB ≅ △BCD because all three sides and all three angles are congruent

• △ADB ≅ △DCB because all three sides and all three angles are congruent

• △ADB ≅ △CBD because all three sides and all three angles are congruent

• The triangles are not congruent because all three sides and all three angles are not congruent

Tags

CCSS.HSG.SRT.B.5

Identify any figures that can be proved congruent. Explain your reasoning. For those that can be proved congruent, write a congruence statement.

• △MNO ≅ △OPQ because all three corresponding sides and all three angles are congruent

• △MNO ≅ △QOP because all corresponding angles and sides are congruent

• △MNO≅ △OQP because all corresponding angles and sides are congruent

• The triangles are not congruent because all three angles and all three sides are not congruent

Tags

CCSS.HSG.SRT.B.5

Identify any figures that can be proved congruent. Explain your reasoning. For those that can be proved congruent, write a congruence statement.

• No, because the corresponding angles are not congruent.

• Yes, because all corresponding parts are congruent.

• No, because the corresponding sides are not congruent.

• Yes, because they look the same.

Tags

CCSS.HSG.SRT.B.5

Identify any figures that can be proved congruent. Explain your reasoning. For those that can be proved congruent, write a congruence statement.

• △IJH ≅ △LJK because all corresponding angles and sides are congruent

• △IJH ≅ △JKL because all corresponding angles and sides are congruent

• △IJH ≅ △KLJ because all corresponding angles and sides are congruent

• The triangles are not congruent because all three angles and all three sides are not congruent

Tags

CCSS.HSG.CO.B.7

Which of the following statements is true for the triangles in the diagram?

• ΔDEG ≅ ΔEFG

• ΔDEG ≅ ΔFGE

• ΔDEG ≅ ΔGFE

• The triangles are not congruent.

Tags

CCSS.HSG.SRT.B.5

Are the triangles in the diagram congruent?

• Yes, because all corresponding angles are congruent.

• Yes, because all corresponding sides are congruent.

• No, because even though the corresponding angles are congruent, the corresponding sides are not congruent

• Yes, they look like they are the same size.

Tags

CCSS.HSG.CO.B.7

Which of the following statements is true for the triangles in the diagram?

• ΔXYW ≅ ΔVWZ, because all three corresponding sides and all three corresponding angles are congruent.

• ΔXYW ≅ ΔZYW, because all three corresponding sides and all three corresponding angles are congruent.

• ΔXYW ≅ ΔWZY, because all three corresponding sides and all three corresponding angles are congruent.

• The triangles are not congruent.

Tags

CCSS.HSG.CO.B.7

Identify the parts that are labeled congruent in the diagram.

• AC ≅ EF, ∠E ≅ ∠B, AB ≅ DE

• AB ≅ FE, ∠B ≅ ∠E, BC ≅ DE

• AB ≅ FE, ∠C ≅ ∠F, BC ≅ EF

• AC ≅ FD, ∠F ≅ ∠B, AB ≅ EF

Tags

CCSS.HSG.CO.B.7