Common Core: High School - Geometry : Prove Triangle Theorems: CCSS.Math.Content.HSG-CO.C.10
Study concepts, example questions & explanations for Common Core: High School - Geometry
All Common Core: High School - Geometry Resources
Example Questions
Example Question #1 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles shown congruent?
Yes
No
Yes
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.
Example Question #2 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
No
Yes
Yes
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.
Example Question #3 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
Yes
No
Yes
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.
Example Question #4 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
No
Yes
Yes
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.
Example Question #5 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles shown congruent?
No
Yes
No
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.
Example Question #6 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
No
Yes
No
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.
Example Question #7 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles shown congruent?
Yes
No
No
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.
Example Question #8 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles shown congruent?
No
Yes
No
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.
Example Question #9 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
No
Yes
No
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.
Example Question #1 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10
Are the two triangles congruent?
No
Yes
Yes
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.
All Common Core: High School - Geometry Resources
