Corresponding angles in similar figures should be the same, not supplementary.
Given a shape as such... ______________________________________ / A=72 B=65 \ \ / \_C=105__________________D=110_______/ (sorta) You take the interior angles that you have and subtract them from 360 to get their supplementary angles, which would be the measure of the outside angles corresponding to the interior angles Measure of <A= 72- so 360- 72=288*; so the measure of the exterior angle corresponding to <A is 288* You can do the same thing for the rest of the angles in the polygon. Hope it helps...
Corresponding and alternate angles
False because although the angles are the same the sides are proportional by ratio to each other.
Congruent angles (or equivalent angles) have the same angle measure.
always
No. Corresponding angles are only equal when the lines crossed by the transversal are parallel.
They have the same measure - they are congruent.
They have the same measure.
Yes they always do have the same degree of measurements
They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.
They are said to be congruent
They don't always. When two lines are crossed by another line (called the transversal) the angles in matching corners are called corresponding angles. If the two lines being crossed are parallel lines, then (and only then) the corresponding angles are equal.
True
Use the fact that the ratios of corresponding sides is the same, and also that corresponding angles have the same measure.
In geometry, the term "similar" refers to figures that have the same shape but potentially different sizes (length, width, height). Strictly speaking angles don't have "size" so they would not be "similar". On the other hand if we interpret the intent to be to ask about congruent angles in similar figures the corresponding angles (i.e. angles that occupy the same relative position at each intersection where a straight line crosses two others) will also be congruent. If angles are similar in that they have approximately (but not necessarily exactly) the same measure, then their corresponding angles will also be approximately the same as each other. Stated another way: If angles A and B are very close in measure, and angle C is the corresponding angle of angle A and angle D is the corresponding angle of angle B, then angles C and D will be close in measure within bounds that can be predicted based on the difference in measure between angles A and B.
No. If two angles are congruent they have the same measure. But that measure can be anything.