Answer:
The value of x is 21.
Step-by-step explanation:
Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :
(x + 3)² + 10² = (x + 5)²
x² + 6x + 9 + 100 = x² + 10x + 25
x² + 6x + 109 - x² - 10x - 25 = 0
-4x + 84 = 0
-4x = -84
4x = 84
x = 84 ÷ 4
x = 21 units
The answer is c. You double the number for finding radius
Similar polygons are made through scaling either by stretching or squeezing the sides all by a common ratio. Here, the size changes. Congruent polygons are made by shifting or reflecting their position. Here, the size does not change.
Choice A has a dilution (or squeezing) and a translation (shifting). That makes similar polygons.
Choice B has a rotation. Nope.
Choice C has a shifting and a reflection. Nope.
Choice D has a rotation and shifting. Nope.
Thus choice A is best.
