### 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?

**Possible Answers:**

Yes

No

**Correct answer:**

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?

**Possible Answers:**

No

Yes

**Correct answer:**

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?

**Possible Answers:**

Yes

No

**Correct answer:**

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?

**Possible Answers:**

Yes

No

**Correct answer:**

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?

**Possible Answers:**

Yes

No

**Correct answer:**

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?

**Possible Answers:**

No

Yes

**Correct answer:**

No

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?

**Possible Answers:**

No

Yes

**Correct answer:**

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?

**Possible Answers:**

No

Yes

**Correct answer:**

No

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?

**Possible Answers:**

Yes

No

**Correct answer:**

No

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

### Example Question #9 : Prove Triangle Theorems: Ccss.Math.Content.Hsg Co.C.10

Are these two triangles congruent?

**Possible Answers:**

Yes

No

**Correct answer:**

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 sides and one angle is also defined, the Side, Side, Angle geometric theorem can be used.

Looking at the triangles the corresponding angle are equal and the correspond sides are also equal therefore, the triangles are congruent.

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