Final Exam Review - Unit 5/6

Final Exam Review - Recap

​Triangle Inequality Theorem & PT Converse

STEP 1

• a + b > c

• 'c' is the longest side

• If sides do not form a triangle, then you cannot classify.

​STEP 2

Right Triangle

​

Acute Triangle

​

Obtuse Triangle​

​Triangle Inequality Theorem & PT Converse

Side lengths: 1, 1, 2​

Step 1:

1 + 1 > 2

No, sides lengths do not form a triangle.

Step 2:

Does not apply​

​Triangle Inequality Theorem & PT Converse cont.

3, 5, 4 

Step 1:

3 + 4 > 5

YES

Step 2:

​

Multiple Choice

Which of the following side lengths would NOT form a triangle?

• 2, 3, 4

• 4, 5, 10

• 8, 10, 12

• 2, 2, 4

Multiple Choice

Do the following side lengths form a triangle? If so, classify.

8, 11, 15

• Not a triangle

• Acute

• Right

• Obtuse

Pythagorean Theorem​

• Given two sides and looking for 3rd side

​

​Solving Right Triangles

​Two window washers, Gabby and Martha, lean a ladder against the side of a building so that Gabby can wash a window while Martha holds the ladder. The top of the ladder reaches the window, which is 3 meters off the ground. The base of the ladder is 4 meters away from the building. How long is the ladder?

Trigonometry and Inverse Trig

• Given an angle and side

• Find an angle measure​

​

​Solving Right Triangles

Special Right Triangles

• 30-60-90

• 45-45-90​

​

​Solving Right Triangles

Multiple Choice

What strategy would you use to solve for the given right triangle?

• Pytagorean Thm

• Inverse Trig

• Trig

• Special Rights

Multiple Choice

What strategy would you use to solve for the given right triangle?

• Pythagorean Thm

• Inverse Trig

• Trig

• Special Rights

Multiple Select

What strategy would you use to solve for the given right triangle?

• Pythagorean Thm

• Inverse Trig

• Trig

• Special Rights

Multiple Choice

What strategy would you use to solve for the given right triangle?

• Pythagorean Theorem

• Inverse Trig

• Trig

• Special Rights

Parallelograms

-Opposite sides are congruent

-Opposite angles are congruent

-Consecutive angles are supplementary

-Diagonals bisect each other​

rectangles

PROPERTIES OF PARALLELOGRAMS PLUS:​

-Diagonals are congruent

-Each interior angle measures 90​

rhombus

PROPERTIES OF PARALLELOGRAMS PLUS:​

-Congruent sides

-Diagonals bisect opposite angles

-Diagonals are perpendicular​

square

Properties of:

1. Parallelograms

2. Rectangle

3. Rhombus​

Multiple Choice

Given that ABCD is a parallelogram, if AE is 6, what is the length of AC?

• 4
• 6
• 12
• 8

Fill in the Blanks

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other
• Diagonals are congruent
• Both pairs of opposite sides are parallel
• Both pairs of opposite angles are congruent

Multiple Choice

The opposite angles of a parallelogram are ...

• complementary
• congruent
• supplementary
• perpendicular

Multiple Choice

In a parallelogram, consecutive angles are __________.

• congruent
• supplementary
• corresponding
• parallel

Multiple Choice

MN is congruent to ____.

• JN
• LN
• KN
• KJ

Multiple Choice

Find the measure of < NQL in parallelogram LMNQ.

• 80°
• 100°
• 29°
• 360°

Multiple Choice

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

• (n - 2)180
• (n - 1)180
• 360
• (n - 3)(180)

Multiple Choice

What is the SUM of the angle measures in a nonagon (9 sides)?

• 1440°
• 900°
• 1080°
• 1260°

Multiple Choice

What is the measure of ONE interior angle in a regular pentagon (5-sides)?

• 540°

• 108°

• 120°

• 180°

Multiple Choice

What is the formula for the sum of exterior angles in a polygon?

• 180(n−2)
• 180(n−2)÷n
• 360
• 360/n

Multiple Choice

What is the formula for a particular exterior angle in a regular polygon?

• 180(n−2)
• 180(n−2)÷n
• 360
• 360/n