M
, 02.11.2020 17:24

# Given: NM ∥ XZ Prove: △XYZ ~ △NYM Triangles X Y Z and N Y M are shown. Triangle X Y Z is smaller and sits inside of triangle N Y M, sharing part of 2 sides with triangle N Y M. The hypotenuses of both triangles are parallel. We know that side NM is to side XZ. If we consider side NY the transversal for these parallel lines, we create angle pairs. Using the , we can state that ∠YXZ is congruent to ∠YNM. We know that angle XYZ is congruent to angle by the reflexive property. Therefore, triangle XYZ is similar to triangle NYM by the similarity theorem.

### Other questions on the subject: Mathematics

M
Mathematics, 22.12.2021 02:13
While traveling to his grandmother’s for Christmas, George fell asleep a third of the way through the journey. When he awoke, he still had to travel a fifth of the distance that he had traveled while sleeping. For what part of the entire journey had he been asleep?
M
Mathematics, 21.12.2020 18:10
Robert and Makayla are on the student council at their high school. They both want to go to a dinner where student council representatives from other schools will participate. However, only one student per school can go. How can a fair decision be made about who goes to the dinner?
M
Mathematics, 24.05.2021 17:29
Which table represents a linear function? A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 1, 2, 4, 8. A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 0, 1, 3, 6. A two column table with five rows.
M
Mathematics, 24.05.2021 17:28
Favorite Color blue 24,36 % 32.86 % yellow 25 % green 27.78 % 1728 students were asked to name their favorite color . The results are shown in this circle graph . How many students gave green as their favorite ?