Question 1(multiple choice worth 4 points)
(05.09a lc)
a pair of parallel lines is cut by a transversal, as shown below:
a pair of parallel lines is cut by a transversal. the interior angle made on the left by the intersection of the upper parallel line and the transversal is labeled as x. the interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as y.
which of the following best represents the relationship between angles x and y?
x = y
x = 180 degrees − y
y = 180 degrees − x
x = 2y
question 2(multiple choice worth 4 points)
(05.09a lc)
which relationship is always correct for the angles p, q, and r of triangle abc?
a triangle abc has angle abc labeled as q, angle bca labeled as r, and the exterior angle at a labeled as p.
p + r = q
p + q + r = 180 degrees
p + q + r = 90 degrees
q + r = pquestion 4(multiple choice worth 4 points)
(05.09a hc)
the figure shows two parallel lines kl and no cut by the transversals ko and ln.
kl and no are parallel lines and ko and ln are transversals. the transversals intersect at m. angle lkm is labeled 1, angle klm is labeled 2, angle kml is labeled 3, angle nmo is labeled 4, angle mno is labeled 6 and angle mon is labeled 5.
which statement best explains the relationship between triangle klm and triangle onm?
triangle klm is similar to triangle onm because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
triangle klm is similar to triangle onm because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
triangle klm is congruent to triangle onm because measure of angle 3 equals measure of angle 4 and measure of angle 1 equals measure of angle 5
triangle klm is congruent to triangle onm because measure of angle 3 equals measure of angle 6 and measure of angle 1 equals measure of angle 4
question 5(multiple choice worth 4 points)
(05.09a mc)
a pair of parallel lines is cut by a transversal, as shown below:
a pair of parallel lines is cut by a transversal. the interior angle made on the left by the intersection of the upper parallel line and the transversal is divided into 2 parts by a slanting line. one part of this angle is labeled as x, and the other part is labeled as 20 degrees. the interior angle made on the right by the intersection of the lower parallel line and the transversal is labeled as 80 degrees.
what is the measure of angle x?
60 degrees
70 degrees
80 degrees
100 degrees