Parallel lines s and t are cut by a transversal, r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.
If the measure of angle 1 is 68°, what is the measure of angle 5
Angle 1 and angle 5 are corresponding angles and are congruent since lines s and t are parallel. Therefore, if angle 1 is 68°, angle 5 is also 68°.
Parallel lines s and t are cut by a transversal r.
Parallel lines s and t are cut by transversal r. Clockwise from top left, the angles formed with r and s are 1, 2, 3, 4; the angles formed with r and t are 5, 6, 7, 8.
Which angles are alternate exterior angles?
Angles 1 and 8 are alternate exterior angles, as well as angles 2 and 7, and angles 3 and 6, and angles 4 and 5.
If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel?
Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16.
If angle 8 is congruent to angle 10 and angle 1 is congruent to angle 7, then angles 8 and 10 are alternate interior angles, and angles 1 and 7 are also alternate interior angles. This means that lines r and u must be parallel, and lines s and t must be parallel.
For the second question: lines r and s are parallel since they have corresponding angles 1 and 5 that are congruent. Lines s and u are parallel since they have corresponding angles 10 and 6 that are congruent. Lines t and u are parallel since they have alternate interior angles 9 and 5 that are congruent. Therefore, all four lines (r, s, t, and u) must be parallel.
Which is enough information to prove that s is parallel to t?
Lines s and t are cut by transversal r to form 8 angles. Clockwise from top left, the angles formed with lines r and s are 1, 2, 3, 4; formed with lines r and t are 5, 6, 7, 8.
Angle 1 is congruent to angle 3
Angle 2 is congruent to angle 8
Angle 5 + angle 6 = 180 degrees
Angle 1 + angle 4 = 180 degrees
The information that is enough to prove that s is parallel to t is the fact that angle 2 is congruent to angle 8. These angles are alternate interior angles and must be congruent if lines s and t are parallel. Therefore, we can conclude that s is parallel to t.
Aliya lined up the interior angles of the triangle along line p below.
Triangle A B C.
When the measure of angle A increases in the triangle, what happens to angle A on line p?
It also increases.
It decreases.
It stays the same.
It may increase, or it may stay the same.
When the measure of angle A increases in the triangle, angle A on line p also increases. This is because angle A on line p is the corresponding angle to angle A in the triangle, and corresponding angles are congruent. As the angle in the triangle increases, the corresponding angle on line p also increases.
The two triangles below are similar.
mc004-1.jpg
What is the ratio of the corresponding side lengths?
4:9
4:2
26:26
4.5:2
The ratio of corresponding side lengths in two similar triangles is always the same. In this case, we can see that the longer side in the first triangle is twice as long as the shorter side, while in the second triangle the longer side is 9 times as long as the shorter side. Therefore, the ratio of the corresponding side lengths is 2:9.
Answer: 2:9.
try again if you neecd i will provide you with awnser choices
Please provide me with answer choices so I can give you the correct answer.
4:9
4:2
26:26
4.5:2
The two triangles are similar, so the ratio of corresponding side lengths is the same. Looking at the image, we can see that the shorter side of the first triangle is half the length of the longer side. For the second triangle, the shorter side is one-fourth the length of the longer side. Therefore, the ratio of corresponding side lengths for the two triangles is:
1/2 : 1 or 2 : 4
1 : 4
Simplifying, we get:
2:4, which reduces to 1:2
Answer: 1:2.