Common Core: High School - Geometry : High School: Geometry
Study concepts, example questions & explanations for Common Core: High School - Geometry
All Common Core: High School - Geometry Resources
Example Questions
Example Question #81 : Congruence
What is the supplement of the complement of 
In order to solve this problem, we need to break down each word.
We need to first find the complement of 
The complement is
Since we are given an angle of 
Now since we need to find the supplement of the answer, we just got.
The supplement is
Now we simply substitute the answer we just got for 
So the answer is
Example Question #82 : Congruence
What is the supplement of the complement of 
In order to solve this problem, we need to break down each word.
We need to first find the complement of
The complement is
Since we are given an angle of 
Now since we need to find the supplement of the answer, we just got.
The supplement is
Now we simply substitute the answer we just got for 
So the answer is
Example Question #11 : Prove Line And Angle Theorems: Ccss.Math.Content.Hsg Co.C.9
What is the supplement of the complement of 
In order to solve this problem, we need to break down each word.
We need to first find the complement of
The complement is
Since we are given an angle of 
Now since we need to find the supplement of the answer, we just got.
The supplement is
Now we simply substitute the answer we just got for 
So the answer is 
Example Question #12 : Prove Line And Angle Theorems: Ccss.Math.Content.Hsg Co.C.9
What is the supplement of the complement of 
In order to solve this problem, we need to break down each word.
We need to first find the complement of
The complement is
Since we are given an angle of 
Now since we need to find the supplement of the answer, we just got.
The supplement is
Now we simply substitute the answer we just got for 
So the answer is 
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?
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 #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.
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All Common Core: High School - Geometry Resources
