Geometry with Measurement
Unit 1 Review
Name:_________________ Date:__________ Period:____
Answers:
1. ↔ ↔
𝑩𝑭𝑩𝑬
2. 𝑷𝒍𝒂𝒏𝒆 𝑬𝑩𝑮, 𝑷𝒍𝒂𝒏𝒆 𝑩𝑭𝑮, 𝑷𝒍𝒂𝒏𝒆 𝑬𝑭𝑮
3. E, B, F
4. E, B, F, G
Answers:
̅̅̅̅̅ 𝑺𝑻,
̅̅̅̅ ̅̅̅̅̅̅
̅̅̅̅̅ ̅̅̅̅̅̅
̅̅̅̅̅
5. 𝑹𝑺,
𝑻𝑾, 𝑹𝑻,
𝑺𝑾, 𝑹𝑾
6. ⃗⃗⃗⃗⃗
𝑻𝑹, ⃗⃗⃗⃗⃗⃗⃗
𝑻𝑾 or ⃗⃗⃗⃗⃗⃗
𝑻𝑺, ⃗⃗⃗⃗⃗⃗⃗
𝑻𝑾
Answers:
⃡⃗⃗⃗⃗
7. 𝑹𝑺
⃡⃗⃗⃗⃗⃗⃗
8. 𝑾𝑽
9. Plane QUXT and Plane QUVR (Pick 3 letters from each set.)
10. Plane TSWX and Plane TSRQ (Pick 3 letters from each set.)
Use the number line at the right for Exercises 11–12.
11. If GH = 31 and HI = 11, then GI =
.
12. If GH = 45 and GI = 61, then HI =
.
In the diagram at the right, mHKI = 48. Find each of the following.
13. mHKJ
14. mIKJ
15. mFKG
Answers:
11. 42 12. 16 13. 90 degrees 14. 42 degrees
15. 42 degrees
Answer: Linear pairs are supplementary which means they add up to 180 degrees.
2n + 21
4n +15
6n + 36 = 180
6n = 144
n=24
m<EFG=69, and m<GFH=111
Answer: 17.(Draw a diagram to help solve.)
3x-3=4x-14
(set the angles equal)
-3x -3x
(subtract 3x)
-3 = x -14
(simplify)
+14 +14
(add 14)
11 = x
(simplify
m/FGH = 3(11)-3= 30
m/HGI=4(11)-14=30
m/FGI=30+30=60
Geometry with Measurement
Unit 1 Review
Name:_________________ Date:__________ Period:____
Answer: Next page
2x + 4
6x + 20
8x + 24 = 180
8x = 156
x = 19.5
m<RQS = 43,
m<TQS = 137
Answer:
23. True – Share a vertex and a side.
24. False – not formed by intersecting lines (don’t from and X)
25. False – form a linear pair and are supplementary
27. <DOC or <AOB
32.The
28. EOC
29. EOC
26. False – form a right angle and are complementary
30. <DOC or <AOB
31. <DOC and <AOB
coordinates of a point T are (-2, 8). The midpoint of ST is (5, -8). Find the coordinates of point S.
E (-2, 8) add 7 to the x’s and subtract 16 from the y’s.
M (5, -8
E (12, -26)
33.Find
the coordinates of the midpoint of HX with endpoints, H(7, 10) and X(5, -8).
(7, 10)
+ (5, -8)
(
𝟏𝟐
𝟐
𝟐
, 𝟐 ) = (6, 1)
34.
What is the distance between (6, -2) and (-2, 4).
(6, -2)
-
(-2, 4) √𝟖𝟐 + (−𝟔)𝟐 = √𝟔𝟒 + 𝟑𝟔 = √𝟏𝟎𝟎 = 10
Geometry with Measurement
Unit 1 Review
Name:_________________ Date:__________ Period:____
2x + 3 + 4x – 2 = 49
6x +1 = 49
6x =48
x=8
EF = 2(8) + 3 = 19
FG = 4(8) – 2 = 30