# Scaling Figures: Effects on Areas

- Author:
- Tim Brzezinski

- Topic:
- Area

## TASK 1:

**manila triangle**in the applet below. The

**pink slider**controls the size of the angle with

**pink vertex**. You can move the

**LARGE POINTS (VERTICES)**of this triangle anywhere you'd like

**AT ANY TIME**. Slide the black slider slowly. Pay careful attention to what you see. After doing so, hit the reset button. Then change the size of the

**angle with pink vertex**. Be sure to move the

**other points**around as well. Please answer the question that follows.

## Q1:

Note that the **"final triangle"** has each side TWICE AS LONG as the **original manila triangle**.
How does the **AREA **of the **"final triangle"** compare with the **AREA** of the **original manila triangle**?

## TASK 2:

**manila triangle**in the applet below. The

**pink slider**controls the size of the angle with

**pink vertex**. You can move the

**LARGE POINTS (VERTICES)**of this triangle anywhere you'd like

**AT ANY TIME**. Slide the black slider slowly. Pay careful attention to what you see. After doing so, hit the reset button. Then change the size of the

**angle with pink vertex**. Be sure to move the

**other points**around as well. Please answer the question that follows.

## Q2:

Note that the **"final triangle"** has each side THREE TIMES AS LONG as the **original manila triangle**.
How does the **AREA **of the **"final triangle"** compare with the **AREA** of the **original manila triangle**?

## Q3:

Suppose the **"final triangle"** had each side FOUR TIMES AS LONG as the **original manila triangle**.
How would the **AREA **of the **"final triangle"** compare with the **AREA** of the **original manila triangle**?

## Q4:

Suppose the **"final triangle"** had each side FIVE TIMES AS LONG as the **original manila triangle**.
How would the **AREA **of the **"final triangle"** compare with the **AREA** of the **original manila triangle**?

## Q5:

Suppose the **"final triangle"** has each side "k" TIMES AS LONG as the **original manila triangle**.
How would the **AREA **of the **"final triangle"** compare with the **AREA** of the **original manila triangle**?
(Express your answer in terms of "k").