Geometry Part 1 Review

Geometry Part 1 Review

Part One

Interior and Exterior Angles of Triangles

Interior angles of triangles add up to 

 $180\degree$  

• Can these angles form a triangle?  $45\degree,\ 45\degree,\ and\ 60\degree$  

• A triangle has two angles:  $80\degree\ and\ 30\degree$  . What is the measure of the missing angle?

Multiple Choice

Find the measure of the indicated angle.

• 26

• 36

• 85

• 144

Multiple Choice

Find the measure of the missing angle.

• 30^o

• 110^o

• 150^o

• 40^o

Multiple Choice

Which of the following sets of angles DO make a triangle?

• 80, 40, 55

• 38, 64, 75

• 41, 56, 83

• 25, 89, 40

The sum of the two non-adjacent interior angles of a triangle are the same measure as the exterior angle. The adjacent interior angle of a triangle and the exterior angle add up to

 $180\degree$  

• Examples on whiteboard

Multiple Choice

Which of the following angles can you add together to equal angle d?

• Angle a and Angle b

• Angle b and Angle c

• Angle a and Angle c

• Angle a and Angle b and Angle c

Multiple Choice

Find the measure of the indicated angle.

• 145

• 113

• 102

• 78

Multiple Choice

• A

• B

• C

• D

Part Two

Parallel Lines with Transversals

Transversals are lines that cut through parallel lines

• Congruent means same, supplementary means add up to $180\degree$  

  
  

• Corresponding: In the same corner (congruent)

• Vertical: Across (congruent)

• Same-Side Interior - supplementary

• Same-Side Exterior - supplementary

• Alternate Interior - congruent

• Alternate Exterior - congruent

Multiple Choice

What is the angle relationship?

• Alternate Interior

• Alternate Exterior

• Corresponding

• Same-Side Interior

Multiple Choice

What is the relationship of the angles

• Alternate Interior

• Alternate Exterior

• Corresponding

• Vertical

Multiple Choice

If ∠n = 113^o, then ∠s =

• 180^o

• 90^o

• 67^o

• 113^o

Multiple Choice

If m∠6 = 50^o then m∠4 =

• 50^o

• 90^o

• 130^o

• 360^o

Part Three

Pythagorean Theorem

a² + b² = c²

• "Diagonal" refers to the hypotenuse (c)

• The shortest two sides are the legs (a & b)

Multiple Choice

Would a triangle with these side lengths be a right triangle?

4, 5, 6

• Yes

• No

Multiple Choice

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Multiple Choice

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in

• 14.3 in

To find the distance between two diagonal points on a coordinate plane...

• Make the diagonal into a right triangle, then count the horizontal and vertical distance to use as a and b in the Pythagorean Theorem

• Example on next slide

Multiple Choice

What is the distance between the two points?

• 6.3

• 6.5

• 6.7

• 16