Proving triangle inequalities, parallel lines cut by transversal, conditions to determine lines or segments are parallel or perpendicular
Quiz by Glydel Cabale
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10 questions
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- Q1In triangle ABC, if the lengths of sides AB, AC, and BC are 7 cm, 10 cm, and 5 cm respectively, is this triangle valid according to the triangle inequality theorem?It dependsYesOnly if AC is the longest sideNo30s
- Q2Which of the following conditions indicates that two lines are parallel when cut by a transversal?Vertical angles are complementaryCorresponding angles are congruentSame-side interior angles are congruentAlternate interior angles are supplementary30s
- Q3If line segment AB is perpendicular to line segment CD, which of the following statements is true?The angles formed at the intersection are right anglesThe angles formed are acute anglesThe segments will be equal in lengthThe lines will never intersect30s
- Q4In triangle XYZ, the lengths of the sides are 12 cm, 9 cm, and 15 cm. Does this triangle satisfy the triangle inequality theorem?YesNoOnly if YZ is the shortest sideOnly if XY is the longest side30s
- Q5Which statement is true regarding two lines that are parallel?They have the same slopeThey cannot be horizontalThey will always intersect at a right angleThey are always the same length30s
- Q6What is the relationship between alternate interior angles when two parallel lines are cut by a transversal?They are congruentOne is acute and the other is obtuseThey are equal to 90 degreesThey are supplementary30s
- Q7Which statement is true about the sum of the angles in any triangle?The sum can be less than 180 degreesThe sum can be more than 180 degreesThe sum is always 180 degreesThe sum is always 90 degrees30s
- Q8If the angle measures of triangle PQR are 35 degrees, 65 degrees, and x degrees, what is the value of x?100 degrees70 degrees80 degrees90 degrees30s
- Q9Which of the following pairs of angles are always supplementary when two lines are cut by a transversal?Corresponding anglesSame-side interior anglesVertical anglesAlternate exterior angles30s
- Q10What can you conclude if two lines are cut by a transversal and their corresponding angles are congruent?The angles are acuteThe lines will intersect at some pointThe lines are parallelThe lines are perpendicular30s