MATHEMATICS EXAM PP 2 QUESTION AND ANSWERS

MATHEMATICS EXAM PP 2 QUESTION AND ANSWERS 1. What kind of quadrilateral is ABCD? Justify your answer. -ANSWER-Because the sum of the interior angles is 360degrees, angleA and angleD are supplementary. Also, angleD and angleC are supplementary. If we extend the side AD to form an alternate interior angle to angleC, we see that these angles are congruent and thus, BC is parallel to AD. Similarly, AB is parallel to DC. Thus, ABCD is a parallelogram. (n-2) 180 N= sides -ANSWER- 90-a -ANSWER-90-a 2. A student claims that if any two planes that do not intersect are parallel, then any two lines that do not intersect should also be parallel. How do you respond? -ANSWER-The student is incorrect. Two distinct lines are parallel if they do not intersect and are in a single plane. Lines that do not intersect and are not in a single plane are called skew lines. 3. Are all equilateral triangles isosceles? Explain. -ANSWER-Yes, because according to the definition, isosceles triangles have at least two congruent sides. Equilateral triangles have three congruent sides. Therefore, they have at least two congruent sides and are isosceles. 4. Can a regular polygon be concave? -ANSWER-No, a concave polygon has at least one angle greater than 180 degrees and some angles less than 180 degrees. Therefore, the figure cannot have all the same angles and cannot be a regular polygon. 5.Can a triangle have two right angles? Why or why not? -ANSWER-No, because the sum of two right angles is 180degrees, thus the sum of the three angles of the triangle would be more than 180degrees. d curve -ANSWER-a curve that begins and ends at the same point complementary angles -ANSWER-Two angles whose sum is 90 degrees he measure of an exterior angle of any triangle equals -ANSWER-the sum of the measures of the two remote interior angles.