### All Common Core: High School - Geometry Resources

## Example Questions

### Example Question #21 : High School: Geometry

Mrs. Johnson's classroom is organized in a grid pattern. In her classroom there are rows and columns of desks resulting in a total of desks. Which of the following depicts the resulting mathematical function of the situation, given Billy sits in desk and wants to move desks to the south and desk to the east.

Assume south represents a negative directional change in the axis and east represents a positive directional change in the axis.

**Possible Answers:**

**Correct answer:**

To help solve this problem, look at the desks as a coordinate grid. Given that Billy currently sits in desk and assuming south represents a negative directional change in the axis and east represents a positive directional change in the axis, we can write the following transformation.

Since Billy wants to move 2 desks south or in the "down" direction then the mathematical notation would be,

Now since Billy also wants to move one desk to the east this results in the following,

From here, plug in the starting position which is and formulate the final transformation.

### Example Question #22 : High School: Geometry

Billy is flying a kite at the park. The kite starts touching the spool of string it is attached to. As Billy runs, the spool of string unravels and the kite flies feet in the air. Which geometric term describes this situation?

**Possible Answers:**

None of the other answers

Reflection

Translation

Rotation

Dilation

**Correct answer:**

Translation

This question is applying mathematical and more specifically, geometric definitions to describe a real life situation. Geometric definitions usually correspond to objects in the 2 dimensional plane or 3 dimensional surface. Since the basket ball is the object in question, this problem is dealing with a the 3 dimensional space.

From here, recall what is given

"Billy is flying a kite at the park. The kite starts touching the spool of string it is attached to. As Billy runs, the spool of string unravels and the kite flies 20 feet in the air."

Recall that a translation is to move an object from its original position a certain distance without changing the object in any other way. Since the kit does not change size of shape but it does move a certain distance from where it originally started, this matches a translation.

Therefore, the correct answer is

"Translation"

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