Geometry 5.3 Proving Triangle Congruence by SAS

Decide whether enough information is given to prove that the triangles are congruent using SAS Congruence Theorem. Explain.

• Yes, both triangles have a congruent angle in between two congruent sides.

• Yes, both triangles have 2 congruent sides and then a congruent angle.

• No, the triangles do not match the correct SAS order.

• No, there are no congruent angles.

Tags

CCSS.HSG.SRT.B.5

Decide whether enough information is given to prove that the triangles are congruent using SAS Congruence Theorem. Explain.

• Yes, both triangles have a congruent angle in between two congruent sides.

• Yes, both triangles have 2 congruent sides and then a congruent angle.

• No, the triangles do not match the correct SAS order.

• No, there are no congruent angles.

Tags

CCSS.HSG.SRT.B.5

Use the given information to name two congruent triangles. (Remember order matters).

• AOB

• AOC

• BCO

• BOC

• OAB

Tags

CCSS.HSG.SRT.B.5

Use the given information to name two congruent triangles. (Remember order matters).

• CED

• ABE

• AEB

• CBE

• ECB

Tags

CCSS.HSG.CO.B.7

Your friend claims that the SAS Congruence Theorem will apply to a triangle and its image after the triangle has been translated, reflected, rotated, and dilated. Is your friend correct? Explain.

• Yes, the order of the transformations does not matter.

• Yes, you can apply any transformation and the shape will stay the same size.

• No, the two triangles will be similar because rotations change the size of the shape.

• No, dilation changes the shape of the triangle.

Tags

CCSS.8.G.A.3

Answer explanation

The reflexive property tells us that the middle segment BD is congruent to itself. Then we can say the triangles are congruent because of SAS.

Tags

CCSS.HSG.SRT.B.5