Parallel Lines & Proportional Parts

Which of the following statements are true about the given set of parallel lines cut by a transversal?

• $\angle1\cong\angle2$

• $\angle3\cong\angle2$

• $m\angle7+m\angle5=180\degree$

• $m\angle3=m\angle6$

A cat is stuck in a tree and firefighters try to rescue it. Based on the figure, if a firefighter climbs to the top of the ladder, how far away is the cat?

• $34.5$ feet

• $44.5$ feet

• $34$ feet

• $46$ feet

In the diagram, Cay Street and Bay Street are parallel. Find x.

• $1.2$ km

• $2.12$ km

• $1.12$ km

• $2.2$ km

Find the missing length indicated.

• 35

• 10

• 14

• 6

A ____________ is the line segment connecting the midpoints of two sides of a triangle.

• ALTITUDE

• MIDSEGMENT

• MIDPOINT

• TRANSVERSAL

A midsegment, of a triangle, is _____ the length of the side it is parallel to.

• $\frac{1}{2}$

• $2$ times

• $3\$ times

• $\frac{1}{4}$

Jake is fixing an A-frame. He wants to add a horizontal support beam halfway up and parallel to the ground. How long should this beam be?

• $8$ feet
  

• $16$ feet

• $4$ feet

• $12$ feet

Find the missing length indicated.

• 8

• 14

• 12

• 21

Solve for x.

• 4

• 8

• 10

• 9

Jay is building a two-story jungle gym according to the plans shown. Find x.

• $13$ ft $4$ in

• $13$ ft

• $13.4$ ft

• $13$ ft $6$ in