Download Unit 4 Worksheet

Foundations of Math 2 Final Exam Review
Name: ______________________________________
UNIT 4: GEOMETRY, ANGLES, AND SIMILAR TRIANGLES
Part 1: Vocabulary
 Congruent – Exactly the ______________________
 Midpoint – The _______________________ of a segment
 Bisector – Cuts a segment or angle in ______________
 Parallel – 2 lines that never ________________
 Perpendicular – 2 lines that intersect at a _______________________
 Transversal – a line that intersects 2 ___________________
 Complementary Angles – 2 or more angles that add up to _________
 Supplementary Angles – 2 or more angles that add up to ________
 Linear Pair – 2 angles that are ________________ and add up to 180°
 Vertical Angles – 2 angles that are formed by an X. They are the angles that are ________________
from each other
__________________________________________________________________________________________
Part 2: Angle Pair Relationships
Corresponding Angles
___________________________________________
___________________________________________
___________________________________________
1 and 5
2 and 6
3 and 7
4 and 8
Alternate Exterior Angles
___________________________________________
___________________________________________
___________________________________________
1 and 7
2 and 8
Unit 8: Page 1 of 3
Alternate Interior Angles
__________________________________________
__________________________________________
__________________________________________
3 and 6
4 and 5
Consecutive Interior Angles
__________________________________________
__________________________________________
__________________________________________
3 and 5
4 and 6
 Use the picture to determine if the angles are Supplementary, Vertical, Corresponding, Alternate
Interior, Alternate Exterior, Consecutive, or No Relationship
1. Angles 1 and 3: _______________________
2. Angles 3 and 5: _______________________
3. Angles 2 and 8: _______________________
4. Angles 1 and 6: _______________________
5. Angles 4 and 5: _______________________
6. Angles 5 and 6: _______________________
 If 2 lines are parallel,
 Vertical Angles are ________________________
 Corresponding Angles are ________________________
 Alternate Interior Angles are ________________________
 Alternate Exterior Angles are ________________________
 Consecutive Angles are ________________________ which means, add up the angles and set them
equal to __________
 Now try these:
1.
2.
X = ______________
X = ______________
Part 3: Triangle Sum Theorem
 The 3 angles in a triangle always _________________________________
 Example:
Now you try:
1.
2.
X = __________
X = __________
Unit 8: Page 2 of 3
X = __________
Part 4: Similar Triangles
 There are 3 ways to prove that triangles are similar
1. ___________________________ (AA) – Prove that 2 angles are _____________________
2. ___________________________ (SAS) – Prove the 2 sides and _____________________and 1 angle is
_____________________
3. ___________________________ (SSS) – Prove that all 3 sides are _____________________
 Example
1. The triangles share an ANGLE at the top of the triangles
2. Set up the proportions
𝟏𝟎
𝟓
=
𝟖
𝟒
The proportions are equal!
THE TRIANGLES ARE SIMILAR BY SAS and ∆𝑸𝑹𝑺~∆𝑸𝑻𝑾
 You Try
1.
2.
Reason: ____________
Reason: _____________
∆𝑫𝑨𝑹~∆______________
∆𝑨𝑩𝑪~∆_______________
__________________________________________________________________________________________
Part 5: Midsegment of a Triangle Theorem
 The Midsegment of a Triangle Theorem states that the misdsegment of a triangle is equal to __________
of the ______________ side
 _____________ setting up an equation, _______________ the midsegment by 2 and then solve.
Example:
Now you try:
X
X = ____________
Unit 8: Page 3 of 3
X = ____________