M1T3 Test Review: Angles and Triangles 1a: Use the provided figure to answer the following questions.

∠ 3 and ∠ _____ are supplementary angles ∠ 7 and ∠ _____ are vertical angles ∠ 3 and ∠ _____ are corresponding angles ∠ 5 and ∠ _____ are alternate interior angles ∠ 1 and ∠ _____ are alternate exterior angles ∠ 4 and ∠ _____ are same side interior angles 1b. Use the provided figure to answer the following questions

2∠ and _____∠ are alternate interior angles.

8∠ and _____∠ are corresponding angles.

5∠ and _____∠ are alternate exterior angles.

6∠ and _____∠ are vertical angles.

2∠ and 7∠ are __________________________ angles.

6∠ and 7∠ are __________________________ angles.

2. If °=∠ 1224m , find the measure of angle 2. State the reason of how you knew this angle. (use appropriate vocabulary terms.)

3. a. Fill in each of the missing angles on the provided figure given that ∠ 1 =130°. b. How did you know the measure of ∠ 4? (what angle…use appropriate vocabulary) c. What is the relationship between ∠ 1 and ∠ 2?

KEY1 or LY674

86

66I4supplementary Clipneaiarr

same side 58in prior f 122

122424are go 122580 SupplementaryanglesSupp Cs add up to 180

B y50So 130130 f SoSol so

mL4 130 because it is vertical o LIand vertical s are congruent

I L2 are supplementary angles whosemeasures addup to 180

4. 5.

Equation:______________________ Equation:________________________

a. x = _____ b. Missing angles = _____ and _____ a. x = ____ b. Missing angles = _____ and _____

6. 7.

a. Missing angles = _____ , _____ , and _____

a. x = _____ Equation:__________________ Equation:_______________________________

8.

9. 10.

x = ____

Equation: x = ____

Equation:

a. x = _____ b. Missing angles = _____ , _____ , and ______ Equation: ________________________

618312 Same side70 so interior

4,5 T 1011518G 130

shag10 180

6 2110 14 8021 12 180121222,1162,84516017 180

65451 180 2 1105180

f

Ttx o

6 21 1011511 180

8 50 130

3 6 8 4 5 2 1E 55 62 180 346 814542 1811117 180 16 4 18011712 4463 1,6

341116 39541112 57841 4 84

39 57 8463 Xt55162 180 3 618 4 3 6 180

25 39 107 344 7 9139 180 417449439 185 1553184125117 107 25

5 52519 34 x

60 83

32128 4 Xt34 117X 8

11.

Equation: __________________ Equation: _____________________

a. x = _____ b. Missing angles = _____ and _____ a. x = _____ b. Missing angles = _____ and _____

12. Do the following angles give you a congruent measure or do they add up to 180°?

Alternate Interior: ___________________________

Supplementary: ___________________________

Corresponding: ___________________________

Vertical: ___________________________

Same Side Interior: ________________________

Alternate Exterior: __________________________

13. 14.

𝒎𝒎∠𝟏𝟏 = 𝒎𝒎∠𝟐𝟐 = 𝒎𝒎∠𝟑𝟑 = 𝒎𝒎∠𝟒𝟒 =

𝒎𝒎∠𝟏𝟏 = 𝒎𝒎∠𝟐𝟐 =

6x + 4°

(Figure not drawn to scale)

12. 940315 95

261033 23

6 4 123 9 5 2 3 1187 14 123 11 18 118y 41 11 1101,1 X to17

11 6 1 4 123 9 51 2 3 11817 17 106 10 23 95

congruentaddapto 180Congruentcongruentadd upto 180congruent

7559 13732

32 75 137 59

ExtL Osun gOsumth SUPPLS theorem theorem

431105180 180105 10532 7546180121180t 80 590 27 63

Vertical 90 27 63Ls complementary4

15.

𝒎𝒎∠𝒂𝒂 = 𝒎𝒎∠𝒃𝒃 = 𝒎𝒎∠𝒄𝒄 =

16. 17. Find each of the missing angles given that 𝒎𝒎∠𝟓𝟓 = 𝟑𝟑𝟒𝟒 𝒎𝒎∠𝟖𝟖 = 𝟏𝟏𝟏𝟏𝟏𝟏

𝒎𝒎∠𝒂𝒂 = 𝒎𝒎∠𝒃𝒃 = 𝒎𝒎∠𝒄𝒄 =

18. a. Write the side lengths in order from shortest to longest. b. Order the sides from longest to shortest.

19. Check the box that applies to each angle relationship when parallel lines are cut by a transversal.

Alternate Interior

Same-Side Exterior Corresponding Same-Side

Interior Linear

Pair Vertical Alternate Exterior

Congruent

Adds up to 180°

𝑧𝑧

53° 𝑓𝑓

𝑑𝑑 𝑒𝑒

79°

btw40180bi no18010700

use sum useAIt Interior Theorem Alt InteriorLS y

40 70 70

Xt71134181105175

71 7518034 146 34 34

75at39176 180 34

g3471

attis 180 146 71a 10975171180 10965 76 65 XH46 180 71

Osun corresponding corresponding T 1801097Theorem angles angles

48 11153179 180132 180

Z X y x

d e f

x x x xx x x