Lessons 3-4 and 3-5

Lesson 3-4 to 3-5

Parallel and Perpendicular

Lines

Parallel Lines and Triangles

Objective: (1) SW relate parallel and perpendicular lines

(2) SW use parallel lines to prove a theorem about triangles.

(3) SW find measures of angles of triangles.

Essential UnderstandingYou can use the
relationships of two lines to a third line to decide
whether the two lines are parallel or perpendicular to
each other.

An auxiliary line is a line that you
add to a diagram to help explain
relationships in proofs.

Fill in the Blanks

Find m∠1.

Fill in the Blanks

Find m∠1.

Fill in the Blanks

Find m∠1.

Drag and Drop

Find the value of each variable.

x =​

Placeholder

y = ​

Placeholder

z =​

Placeholder

Drag these tiles and drop them in the correct blank above

70

110

30

100

50

40

60

Dropdown

Find the value of each variable.

x =​ ​

Select answer

y = ​ ​

Select answer

Fill in the Blanks

Find the measure of the exterior angle shown.

Answer:

​

Dropdown

Find the value of x.

x =​ ​

Select answer

Fill in the Blanks

Find the value of x.

Answer:

​

Fill in the Blanks

Find the value of x.

x =

Fill in the Blanks

Find the value of x.

x =

Fill in the Blanks

Find the value of c.

c = ​

Dropdown

Find m∠1.



m∠1 =​

Select answer

Dropdown

Find m∠2.



m∠2 =​ ​

Select answer

Dropdown

x =​ ​

Select answer

​

m∠P = ​

Select answer

m∠Q =​

Select answer

m∠R =​

Select answer

​

Dropdown

Find the value of x and the measures of the angles.



x = ​

Select answer

m∠A =​

Select answer

m∠B =​

Select answer

Find the measure of each angle.

a = ______ d = _____

b = ______

e = _____

c = ______

Find the measure of each angle.

x = ______

y = ______

z = ______

The End

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