I relly need help on this question.
"Determine whether the conjecture is true or false.Give an example if its false". Given: angle ABC,angle DBE are congruent.
Conjecture:They are vertical angles.
To determine whether the conjecture is true or false, you need to understand the definition of vertical angles. Vertical angles are the angles that are formed opposite each other when two lines intersect. They have equal measures.
In this scenario, you are given two angles: angle ABC and angle DBE. The conjecture is that these angles are vertical angles. So, you need to investigate whether angle ABC and angle DBE are formed opposite each other by intersecting lines.
To verify if the conjecture is true or false, you can do the following:
1. Draw a diagram: Use a ruler and a protractor to accurately draw lines that intersect at a point.
2. Label the angles: Mark the angles with their respective names - angle ABC and angle DBE.
3. Measure the angles: Use a protractor to measure the angles. Make sure to align the protractor properly with the angle to get an accurate measurement.
4. Compare the measurements: Compare the measurements of angle ABC and angle DBE. If they are equal, then the conjecture is true, and they are indeed vertical angles. If the measurements are not equal, then the conjecture is false.
Remember to be precise in your measurements and ensure the lines intersect correctly to get an accurate result.
If, after following these steps, you discover that angle ABC and angle DBE have different measures, then the conjecture is false. In such a case, you can provide an example of two congruent angles that are not vertical angles.