Question

the scale factor is the number you multiply each length in the original figure by to get the corresponding length in the scaled copy. the scale factor is 2. what is the missing length in the scaled copy? units

Explanation:

Step1: Recall scale factor definition

The scale factor is the multiplier for each length from original to scaled copy. Given scale factor \( k = 2 \).

Step2: Identify original corresponding length

In the original triangle, the hypotenuse is \( 5 \) units.

Step3: Calculate scaled length

Multiply original length by scale factor: \( 5\times2 = 10 \)? Wait, no, wait. Wait the scaled copy's other sides: original leg 3 becomes 6 (3×2), original leg 4 becomes 8 (4×2). So original hypotenuse 5, scaled hypotenuse should be \( 5\times2 = 10 \)? But the scaled copy has 7? Wait no, maybe I misread. Wait the original triangle has sides 3, 4, 5 (right triangle). Scaled copy has legs 6 (3×2) and 8 (4×2), so hypotenuse should be \( 5\times2 = 10 \). Wait the problem shows 7, maybe that's a typo, but following scale factor 2: original hypotenuse 5, scaled is \( 5\times2 = 10 \). Wait no, maybe the missing length is the hypotenuse. Wait original hypotenuse is 5, scale factor 2, so \( 5\times2 = 10 \). Wait the scaled copy's hypotenuse is missing, current is 7? No, maybe the diagram's 7 is a mistake, but according to scale factor 2, original 5 → 5×2=10. Wait let's check legs: 3→6 (3×2), 4→8 (4×2), so hypotenuse 5→10. So the missing length is 10.

Wait maybe I misread the problem. The question is "What is the missing length in the scaled copy?" The scaled copy has legs 6 and 8, and hypotenuse? Wait original legs 3 and 4, hypotenuse 5. Scaled legs 6 (3×2) and 8 (4×2), so hypotenuse should be 5×2=10. So the missing length (hypotenuse) is 10.

Answer:

10