Geometry: Tools of Geometry and Reasoning and Proof

UNIT 1 REVIEW

QUESTION 1

Where do DCB and HIF intersect?

𝐴𝐵QUESTION 1 ANSWER

If DM = 37 find the value of x.

QUESTION 2

X = 17QUESTION 2 ANSWER

Find the measure of

QUESTION 3

m=141

QUESTION 3 ANSWER

What is the length of a segment with endpoints (-3, 5)

and (4, 4)?

QUESTION 4

5√2QUESTION 4 ANSWER

What is the midpoint of the segment with

endpoints (-2, 7) and (5, 2)?

QUESTION 5

QUESTION 5 ANSWER

( 32 , 92 )

What is the other endpoint of a segment

with an endpoint at (4,4) and a midpoint at

(-2, -1)?

QUESTION 6

(-8, -6)QUESTION 6 ANSWER

Find the value of x and y:

QUESTION 7

X = 50Y=20

QUESTION 7 ANSWER

Name the property that justifies each of the following:

• If JK = 20 and AB + JK = XY, then AB + 20 = XY.

• If , then HI GF

QUESTION 8

Substitution Property

Symmetric Property

QUESTION 8 ANSWER

Name a pair of angles that form a linear pair:

QUESTION 9

QUESTION 9 ANSWER

�⃗�𝑦 𝑏𝑖𝑠𝑒𝑐𝑡𝑠∠𝑊𝑋𝑍 , 𝑓𝑖𝑛𝑑𝑚∠𝑌𝑋𝑍QUESTION 10

= 28QUESTION 10 ANSWER

Find the

QUESTION 11

=138QUESTION 11 ANSWER

Find the value of x, if

QUESTION 12

X = 12QUESTION 12 ANSWER

QUESTION 13

What are two other names for

QUESTION 13 ANSWER

∠ 𝑀𝐾𝐿𝑎𝑛𝑑∠ 𝐿𝐾𝑀

If G, H, and I are collinear and H is

between G and I, GH = 7y + 3, HI = 3y − 5, and GI = 9y + 7. Find the length of

HI.

QUESTION 14

HI = 22QUESTION 14 ANSWER

QUESTION 15

Find the length of KM if KL = and LM= 3x + 2.

KM = 8QUESTION 15 ANSWER

Find the midpoint and distance between the

coordinates -4 and 9.

QUESTION 16

Midpoint: Distance: 13

QUESTION 16 ANSWER

QUESTION 17

Using the diagram name a:• Plane•Ray• Segment• Line

Possible answers:Plane: ZRQ

Ray: Segment:

Line:

QUESTION 17 ANSWER

Name three Collinear Points

QUESTION 18

R, X, QQUESTION 18 ANSWER

Name three coplanar points

QUESTION 19

Possible answers:A, D, C

F, C, B

E, H, G

QUESTION 19 ANSWER

Name the two planes that intersect at line DC:

QUESTION 20

ABC and HGC

QUESTION 20 ANSWER