Question

matching list question 5 listen match each scale factor with the appropriate figure. press the arrows to expand the images. a. 1 b. 4 c. ⅕

Explanation:

Step1: Recall scale - factor concept

A scale factor of 1 means the original and the new figure are congruent. A scale factor greater than 1 means an enlargement, and a scale factor between 0 and 1 means a reduction.

Step2: Analyze first pair of figures

The first pair of triangles shows a large triangle and a small triangle. Since the small triangle is a reduced - version of the large triangle, the scale factor is $\frac{1}{5}$. So, the scale factor $\frac{1}{5}$ (c) matches the first pair of triangles.

Step3: Analyze second pair of figures

The second pair of figures (the "W - shaped" figures) are congruent. So the scale factor is 1. Thus, the scale factor 1 (a) matches the second pair of figures.

Step4: Analyze third pair of figures

The third pair shows a small number 4 and a large number 4. Since the large number 4 is an enlarged version of the small number 4, the scale factor is 4. So, the scale factor 4 (b) matches the third pair of figures.

Answer:

First pair of triangles: c. $\frac{1}{5}$
Second pair of figures: a. 1
Third pair of figures: b. 4