The scale factor would be the ratio between the similar sides. Look at the picture below. These are two similar rectangles. Side AB corresponds to side EF. So the scale factor would be the length of the new rectangle divided by the length of the corresponding side for the original rectangle.
4/8 = 1/2
So the scale factor is 1/2. Note: If you're going from a bigger shape to a smaller one, you know that the scale factor must be less than 1. Similarly, if you're going from a smaller shape to a bigger shape, you know that the scale factor must be greater than 1.
And you have to divide the corresponding sides. If you knew side BD, you couldn't divide it from 4, because BD and EF aren't corresponding sides.
Answer:
I think so
Step-by-step explanation:
In pretty sure its correct
Answer:
x = 60°, y = 78°, z = 29°.
Step-by-step explanation:
(x). Alternate exterior angles are congruent, so ∠OSP ≅∠HJP, and ∠OSP measures x°. Of the given information, we know ∠HJP = 60°.
(y). Vertical angles are congruent, so: ∠OPS ≅∠JPH, and in the diagram ∠OPS measures y°. To find ∠JPH, subtract the other angle measures in this triangle within the quadrilateral. This is represented by: 180 - (60+42) = 78°.
- Since ∠y ≅∠JPH, both angles measure 78°.
- (This can also be found by knowing 102 + y = 180 degrees, which simplifies to y = 78° since they are supplementary angles).
(z). Similar to the first variable's solution, z is the measure of ∠SHP, which is congruent to ∠JOP. Of the given information, we know ∠JOP = 29°. z° is the measure of its alternate, so it is congruent.