QuestionUsing the figure determine whether the statement is true or false.
Studdy Solution
STEP 1
1. Vertical angles are formed when two lines intersect.
2. Vertical angles are congruent (equal in measure).
3. We are given a figure with intersecting lines and labeled angles.
STEP 2
1. Identify the vertical angles in the figure.
2. Determine the relationship between the identified angles.
3. Conclude whether the statement about the angles is true or false.
STEP 3
Identify the pairs of vertical angles in the figure. When two lines intersect, they form two pairs of vertical angles. For example, if angles 1 and 3 are opposite each other, they are vertical angles.
STEP 4
Determine the relationship between the identified vertical angles. Since vertical angles are congruent, check if the given statement aligns with this property. For instance, if the statement claims angles 1 and 3 are equal, verify this based on their vertical relationship.
STEP 5
Conclude whether the statement is true or false based on the congruency of the vertical angles. If the statement correctly identifies the congruency of vertical angles, it is true; otherwise, it is false.
The conclusion about the statement's truthfulness depends on the specific angles mentioned in the statement and their relationship as vertical angles. Without the exact statement, we cannot definitively determine its truth value, but the process described will allow you to evaluate it.
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