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Biblioteka

IM 2 Semester 2 Review: Final Study Guide (Due 6/9/25)

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Posljednje ažuriranje 5 months ago
76

Day 1 6/2/25

Day 2 6/3/25

Day 3 6/4/25

Day 4 6/5/25

Main Idea: Geometry Basics

Obavezno
20
Pitanje 1
1.

Use the figure below to answer question. Let m∠MQP= 80.

m∠MQN=

m∠NQP=

Obavezno
10
Pitanje 2
2.

If m∠DEG = (5x – 4)°, m∠GEF = (7x – 8)°, m∠DEH = (9y + 5)°, find the value of x and y.

x=

y=

Main Idea: Naming Angles Formed When Parallel Lines are Cut By a Transversal

Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6
Obavezno
6

Main Idea: Using Parallel Lines To Find The Measures Of Indicated Angles

Obavezno
35
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10
Obavezno
10

Main Idea: Angles formed by Parallel Lines cut by a Transversal Using Algebra

Obavezno
10
Pitanje 21
21.

If l ∥ m, then solve for x.

Obavezno
10
Obavezno
10
Obavezno
30
Obavezno
30

Main Idea: Sums of the Interior Angles of a Polygon

Obavezno
10
Pitanje 26
26.

Find the sum of the measures of the interior angles in each polygon.

16-gon

degrees

20-gon

degrees

100-gon

degrees

Obavezno
30
Pitanje 27
27.

Find the sum of the measures of the interior angles in each polygon.

(Round your answer to the nearest tenth.)

14-gon

degrees

Each angle is

25-gon

degrees

Each angle is

85-gon

degrees

Each angle is

Obavezno
15

Main Idea: Interior and Exterior Angles of Polygons

Obavezno
3
Pitanje 29
29.

What is the sum of the exterior angles of any polygon?

Obavezno
3
Pitanje 30
30.

What is the formula to find one exterior angle of any polygon?

Obavezno
30
Obavezno
10
Obavezno
10

Main Idea: Angles of a Triangle

Obavezno
15
Pitanje 34
34.

Find each missing angle measures.

m∠1= °

m∠2= °

m∠3= °

m∠4= °

m∠5= °

Obavezno
10
Pitanje 35
35.

Find the value of x.

Obavezno
40
Pitanje 36
36.

Find the value:

x= °

m∠D= °

m∠E= °

m∠F= °

Main Idea: Triangle Inequality Theorem

Obavezno
12
Pitanje 37
37.

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

14 and 22

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x) < +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <

Obavezno
12
Pitanje 38
38.

Given two sides of a triangle, you can set up an inequality using the sum and difference to show the range of possible lengths for the third side:

31 and 28

a) Set up difference and sum that shows the possible range of side lengths for the third side

- <third side (x)< +

b) Write the inequality the shows the range of lengths that could be a third side this triangle:

< x <

Main Idea: Dilations

Obavezno
10
Pitanje 39
39.

This is an example of what kind of dilation?

Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→

Obavezno
10
Pitanje 40
40.

This is an example of what kind of dilation?

Scale factor can be written as (x,y)→(kx, ky)

The scale factor is of this example is (x,y)→

Obavezno
20
Obavezno
10
Obavezno
10

Main Idea: Creating and Solving Proportions

Obavezno
40
Pitanje 44
44.

A music store has 40 trumpets, 39 clarinets, 24 violins, 51 flutes, and

16 trombones in stock.

Write each ratio in simplest form.

trumpets to violins

to

write it as a fraction

flutes to clarinets

to

write it as a fraction

trombones to trumpets

to

write it as a fraction

violins to total instruments

to

write it as a fraction

Obavezno
15
Obavezno
10
Obavezno
15
Obavezno
15

Main Idea: Ratios and Proportions

Obavezno
10
Pitanje 49
49.

What are the three ways to represent a ratio?

Don't Click This Link

1.

2.

3.

Obavezno
10
Pitanje 50
50.

Use the given ratios to solve each problem:

The ratio of the measures of the three angles in a triangle is 10:3:7. Find the measure of the largest angle.

Main Idea: Similarity

Obavezno
5
Pitanje 51
51.

The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

:

Obavezno
40
Pitanje 52
52.
Obavezno
5
Obavezno
10

Main Idea: Triangle Proportionality

Obavezno
10
Pitanje 55
55.

Use the Triangle Proportionality Theorem to solve for x.

x=

Obavezno
10
Pitanje 56
56.

Use the Triangle Proportionality Theorem to solve for x.

x=

Obavezno
10
Pitanje 57
57.

Use the Parallel Lines and Proportional Parts to solve for x.

x=

Main Idea: Pythagorean Theorem

10
Pitanje 58
58.

Use the Pythagorean Theorem to find the missing side of the following triangle.

(Round your answer to the nearest tenth.)

x=

Obavezno
10
Pitanje 59
59.

Use the Pythagorean Theorem to find the missing side of the following triangle. Leave your answer in simplest radical form.

Main Idea: Right Triangle Similarity

(When you have all 3 Sides of a Right Triangle)

Obavezno
10
Pitanje 60
60.

Solve for x. (Round your answer to the nearest tenth.)

Obavezno
10
Pitanje 61
61.

Solve for x and y. (Round your answer to the nearest tenth.)

x=

y=

Main Idea: Right Triangle Similarity

Hypotenuse and Leg Theorem

Obavezno
10
Pitanje 62
62.

Solve for x. (Round your answer to the nearest tenth.)

Obavezno
10
Pitanje 63
63.

Solve for x. (Round your answer to the nearest tenth.)

Main Idea: Trigonometric Functions

Obavezno
10
Pitanje 64
64.

What is the correct ratio of sides for each trigonometric function?

sin ϴ=

cos ϴ=

tan ϴ=

Obavezno
10
Pitanje 65
65.

Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.

sin θ=

cos θ=

tan θ=

Obavezno
10
Pitanje 66
66.

Find the 3 trigonometric function for θ, Give each trig ratio as a fraction in simplest form.

sin θ=

cos θ=

tan θ=

Main Idea: Properties of Parallelograms

20
Pitanje 67
67.

▱LMNP is a parallelogram.

Solve for x.

What is the length of LM?

M∠P= °

M∠N= °

M∠L= °

Obavezno
30
Pitanje 68
68.

▱ABCD is a parallelogram.

Solve for x.

Find m∠R

Find m∠Q

Obavezno
10
Pitanje 69
69.

▱STUV is a parallelogram.

If TV = 74 and WV = 4x + 1, solve for x.

Main Idea: Properties of Rectangles

Obavezno
30
Pitanje 70
70.

If each quadrilateral below is a rectangle, find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )

m∠BCD=

m∠ADE=

m∠ABD=

m∠AEB=

m∠CBE=

m∠DEA=

Obavezno
25
Pitanje 71
71.

If each quadrilateral below is a rectangle, find the missing measures.

VW=

WX=

YW=

ZX=

VX=

Main Idea: Properties of Rhombi

Obavezno
30
Pitanje 72
72.

If each quadrilateral below is a rhombus, use the given information to find the missing measures. Do not for get to use the degree symbol in your answers. ( ° )

m∠KNL=

m∠KJL=

m∠MLK=

m∠JKM=

m∠JML=

Obavezno
20
Pitanje 73
73.

If each quadrilateral below is a rhombus, use the given information to find the missing measures.

x=

Do not for get to use the degree symbol in your answers. ( ° )

m∠ADB=

m∠BAD=

Main Idea: Properties of Squares

Obavezno
30
Pitanje 74
74.

If the quadrilateral below is a square, find the missing measures.

Do not forget to use the degree symbol in your answers. ( ° )

m∠EFG=

m∠GDH=

m∠GEF=

m∠DHG=

Obavezno
20
Pitanje 75
75.

If the quadrilateral below is a square, solve for x and find the missing measures.

x=

Do not forget to use the degree symbol in your answers. ( ° )

m∠RQT=

m∠PTQ=

Main Idea: Properties of Trapezoids

Obavezno
15
Pitanje 76
76.

If the quadrilateral below is a trapezoid, find the missing measures.

Find x=

Do not forget to use the degree symbol in your answers. ( ° )

m∠VST=

Pitanje 3
3.

Name the angle relationship between the two indicated angles in the diagram:

These angles are on the other two lines. Therefore these angles are side(s) of the transversal and .

Pitanje 5
5.

Name the angle relationship between the two indicated angles in the diagram:

These angles are on the other two lines. Therefore these angles are side(s) of the transversal and .

Pitanje 7
7.

Name the angle relationship between the two indicated angles in the diagram:

These angles are on the other two lines. Therefore these angles are side(s) of the transversal and .

Pitanje 9
9.

Name the angle relationship between the two indicated angles in the diagram:

These angles are on the other two lines. Therefore these angles are side(s) of the transversal and .

Pitanje 11
11.

Name the angle relationship between the two indicated angles in the diagram:

These angles are on the other two lines. Therefore these angles are side(s) of the transversal and .

Pitanje 13
13.

If m∠1 = 62°, find each measure.

m∠2=

m∠3=

m∠4=

m∠5=

m∠6=

m∠7=

m∠8=

Pitanje 14
14.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 15
15.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 16
16.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 17
17.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 18
18.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 19
19.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 20
20.

Given the 2 line are cut by a transversal and are parallel:

What is the measure missing angle?

What is the reason? (Use Notes Page 3 to help you).

Pitanje 22
22.

If l ∥ m, then solve for x.

Pitanje 23
23.

If l ∥ m, then solve for x.

Pitanje 24
24.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(6x+20)° = °

(8x)° = °

Pitanje 25
25.

Find the value of x.

x=

Then, find the measure of each labeled angle.

(7x+10)° = °

(15x +16 )° = °

Pitanje 28
28.

Find the value of x.

x=

(8x-1)°=

Pitanje 31
31.

Find the sum of the measures of the exterior angles in each polygon. (Round your answer to the nearest tenth.)

14-gon

degrees

Each angle is

25-gon

degrees

Each angle is

85-gon

degrees

Each angle is

Pitanje 32
32.

Find the value of x and y.

x=

y=

Pitanje 33
33.

Find the value of x.

x=

Pitanje 41
41.

Graph and label each figure and its image under a dilation with the given

scale factor. Assume all dilations use the origin as the center of dilation.

J':

L':

K':

M':

Pitanje 42
42.

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)

scale factor

k=

Pitanje 43
43.

Identify the center of dilation and scale factor of each dilation.

center of dilation (x,y)

scale factor

k=

Pitanje 45
45.

After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)

=

x=

Pitanje 46
46.

After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)

=

x=

Pitanje 47
47.

After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)

=

x=

Pitanje 48
48.

After cross multiplying this proportion, what is the result? (Round your answers to 2 decimal places.)

=

x=

Use this similarity statement △FGH ~△JKH to list the similar parts.

∠H=∠

∠J=∠

∠G=∠

JH~

GH~

FG~

Pitanje 53
53.

The pairs of polygons in the example are similar. Give the scale factor of figure A to figure B.

:

Pitanje 54
54.

If △JKL ~ △NMP, find the value of x.

x=