Ray Hf bisects with angle Ehg.. Which conclusion is not valid
a. E,F and G are coplanar
b. angle EHF is congruent with angle FHG
c. Line Eh is congruent to line HG
d. m/Ehf is congruent to m/FHG
hey I am a student I did this in a quiz in class I guessed but I got the right answer just trust me it is h ( EF = FG )
the = sign has a wavy line on top of it
The conclusion that is not valid is option c. Line Eh is congruent to line HG.
To determine which conclusion is not valid, we need to analyze each one:
a. E, F, and G are coplanar: To verify this conclusion, we need to ensure that points E, F, and G lie on the same plane. One way to do this is by considering a three-dimensional figure and visualizing the points on that figure. If we can draw a plane containing all three points, then the conclusion is valid. However, if we find that the points are not on the same plane, then the conclusion is not valid.
b. Angle EHF is congruent to angle FHG: To determine the validity of this conclusion, we can use the angle bisector theorem. According to this theorem, if a ray bisects an angle, it divides the angle into two congruent angles. Therefore, if ray HF bisects angle Ehg, then we can conclude that angle EHF is congruent to angle FHG. If we find that the angles are not congruent, then this conclusion is not valid.
c. Line Eh is congruent to line HG: To validate this conclusion, we can use the segment addition postulate. According to this postulate, if a line segment is bisected, it divides the line segment into two congruent segments. Therefore, if ray HF bisects line Ehg, then we can conclude that line Eh is congruent to line HG. If we determine that the line segments are not congruent, then this conclusion is not valid.
d. m/Ehf is congruent to m/FHG: This conclusion suggests that the measures of angle EHF and angle FHG are congruent. To verify this, we can use a protractor or the angle measure tool in a geometry software. Measure the angles and check if they have the same measure. If we find that the angles do not have the same measure, then this conclusion is not valid.
By going through each conclusion and using the relevant geometric theorems and postulates, we can determine which conclusion is not valid.
a T any three points are coplanar
b T angle bisector create two congruent angles
c F we know nothing about line lengths
d T same as (b) but bad language. Angles are congruent. Measures are just numbers, so they are equal.