Geometry Midterm Study Guide Answer Key
1) (2, -1)
2) (7, 1)
8) (x + 3)2 + (y – 5)2 = 16
3) 5 2
1
5) m = -12
6) y = -2x + 1
3
10) m  B = 102°
11) SV = 5
4) -
9) (1, 3)
7) (1, 5)
12) mJE = -2, mEN = 1 , JE = 2 5 , EN = 2 5 In conclusion: JEN is a right isosceles triangle because
2
JE = EN and the slopes of JE and EN are opposite reciprocals, thus JE EN, so  E is a right angle.
3
3
5
5
13) mAB = , mCD = , mBC = , mAD = In conclusion: AB||CD & BC||AD since they have the same
8
8
2
2
slopes. So ABCD is a parallelogram since both pairs of opposite sides are parallel. ABCD is not a
rectangle because there are no slopes that are opposite reciprocals, so no sides are perpendicular; therefore
there are no right angles.
14) ML = 10 15) x = 40
16) 36
17) 1:9
18) 6 3
19) 20 2
20) x = 7, y = 28.5
21) 37
22) 2 3
23) x = 3.6
24)
25)
26)
27) TD = 6
28) (1)
29) 2 circles that intersect at 2 points
30) A circle and a line that intersect at 2 points
B
A
A
31) A circle and 2 intersecting lines that intersect at 4 points
2
2
32) 2 lines that intersect at 1 point
33) y = 1, y = 5, x + y = 25, 3 points satisfy both
34) I am going to eat ice cream.
38) (1)
35) (4)
36) True; only 1 has to be true
39) (3)
40) (2)
41) (4)
42) largest angle = 83°
43) (1)
44) (2)
48) ASA
50) SAS
49) SAS
45) 67°
37) (4)
46) m  QPT = 110°
*Make sure you know how to construct a median, altitude, and all triangle concurrence points.
47) (2)
B