U2-L4 Congruent Triangles

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

You have two corresponding angles congruent but no side between them. No reason to say ED is congruent to JH

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

You have the two corresponding angles. RT is congruent to itself which is the side between for both triangles. So you have two corresponding angles and the side between that are congruent.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

You have the two corresponding sides that are congruent. Angles ACB and ECD are congruent because vertical angles are congruent. So you have two corresponding sides and the angles between that are congruent.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

As of now, there is no reason. MQ is congruent to itself, but the right angles are not between the two congruent sides. You would need Angle NMQ and Angle PQM. (If you remember the Pythagorean Theorem, you can make an argument that NQ and MP are also congruent)

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

XZ is congruent to itself. That gives you two corresponding sides and the angle between that are congruent.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

RQ is congruent to itself. That gives you three corresponding sides that are congruent

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

If KJ and KM are congruent then the triangle is isosceles. So the base angles are congruent also. Angle J is congruent to Angle M. If you know two angles are congruent then the third is the same because the angles in a triangle add to 180. So Angle JKL and MKL are congruent. That gives you Angle-Side-Angle. Also KL is congruent to itself so you can use Side-Angle-Side.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

Given two angles are congruent and the side between them.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

Because Angle E and J are congruent then lines EF and HJ are also parallel because if alternate interior angles are congruent then the lines are parallel. So Angle F and H are congruent because they are alternate interior angels formed by parallel lines. Now you have two corresponding angles and the side between them that are congruent for Angle-Side-Angle.

Tags

CCSS.HSG.SRT.B.5

Determine if the triangles are congruent if...

• The three corresponding sides are congruent

• Two corresponding sides and the angle between them are congruent

• Two corresponding angles and the side between the mare congruent

• Can't Determine

Answer explanation

You are given two sides that are congruent and a congruent angle but the angle is not between the two sides. Thus we cannot determine if the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5