Prove Triangle Theorems: CCSS.Math.Content.HSG-CO.C.10 - Geometry

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal and the correspond side is also not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are equal and the correspond side is also equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal and the correspond side is also not equal therefore, the triangles are not congruent.

For two triangles to be congruent, they must meet one of the five geometric theorems that prove triangles congruency. We can see that each triangle has a corresponding right angle, and each triangle has a corresponding hypotenuse of length 5. However, having one matching angle and one matching side is not enough to prove congruency.

Apply the Pythagorean Theorem, a2+b2=c2, to the first triangle, to yield A2+42=52, which simplifies to A2+16=25, which simplifies to A2=9. Solve for A by taking the square root of each side: . Therefore A = 3.

Because this is a right triangle, we can use the Hypotenuse Leg Theorem to prove congruency, since in the leftmost triangle, hypotenuse = 5 and a leg = 3, and in the rightmost triangle, the hypotenuse = 5 and a leg = 3.

After using the Pythagorean Theorem to find the missing side of the leftmost triangle, these triangles are congruent based on the Hypotenuse Leg Theorem.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side defined as well, the Angle, Angle, Side geometric theorem can be used.

Looking at the triangles the corresponding angles are equal and the correspond side is also equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are equal and the correspond side is also equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are equal therefore, the triangles are congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal and the correspond side is also not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have all three sides defined, the Side, Side, Side geometric theorem can be used.

Looking at the triangles the corresponding sides are not equal therefore, the triangles are not congruent.

For two triangles to be congruent they must have equal corresponding angles and sides. There are five geometric theorems that can be used to prove whether triangles are congruent or not. Since, these two triangles have two defined angles and the side between the angles are defined as well, the Angle, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angles are not equal therefore, the triangles are not congruent.