Download Ans. - Brooklyn Technical High School

Brooklyn Technical High School
Review 2 MP2
Geometry Term I
Name ___________________________
Instructor: Mr. Rodriguez
Period ___________
1) In ∆𝑫𝑬𝑭, 𝒎 < 𝑫 = 𝒙 + 𝟕, and 𝒎 < 𝑬 = 𝟑𝒙 + 𝟓. The degree measure of an exterior angle at 𝑭 is
represented by 𝟓𝒙 + 𝟐. Find the value of 𝒙.
Ans.
2) In ∆𝑀𝑁𝑅, < 𝑀 ≅< 𝑅, 𝑀𝑁 = 3𝑥 + 2, 𝑁𝑅 = 𝑥 + 12.2, 𝑀𝑅 = 2𝑥. Find MN
Ans.
3) Each of the congruent angles of an isosceles triangle measures 15o more than four times the vertex angle. Find
the measure of one of the base angles.
Ans.
4)
Ans.
B
5) Given: ̅̅̅̅
𝐵𝐷 bisects < 𝐷 and < 𝐴 ≅ < 𝐶
Prove: ∆𝐴𝐷𝐵 ≅ ∆𝐶𝐷𝐵
A
Statements
C
Reasons
D
6) Given: RT  ST
TR  AB , TS  BC
Prove:  RBT  SBT
Statements
Reasons
̅̅̅̅ using the copying an angle method.
7) Construct a line containing C and parallel to 𝐴𝐵
C
A
B
8)
Ans.
9) Solve for x and y, given that a || b. :
Ans.
10) Given: Scalene Triangle ABC
Prove: m  A  m  B
11) Construct a line perpendicular to n through point A.
12)
13)
14)
15)
16)
17)
18)
19)
20)
21)
22)
23)
24)
25)
26)
27) Which of the following is not a way to prove lines are perpendicular?
A) If two lines are parallel, then a third line is perpendicular to the first two lines.
B) If two intersecting lines form congruent adjacent angles, the lines are perpendicular.
C) If two points are each equidistant from the endpoints of a line segment, the points determine the perpendicular
bisector of the line segment.
D) If two intersecting lines form right angles, then the lines are perpendicular.
28) Given the construction at right, which statement is true?
A) AE  ED
B) AB  CD
C) AC  BC
D) EB  ED
29)
30)
31) Find the measure of <A
32) In the triangles at the right,  X  I and  Z  H .
Which is a valid conclusion?
A) XZ  IH
C) XZ 
1
IH
2
B) XZY  IHJ
D)  Y  J
33)
34)
35) For what values of x and y will lines L1 and L2 be perpendicular?
36)
37)