Download Geometry Test Chapter 2AB 1. Find x and y in the triangle pictured

Geometry
Test Chapter 2AB
1. Find x and y in the triangle pictured below.
x=____________y=_______________
2. Find x and 𝑚 < 4 in the diagram showing three lines above.
x=______________
𝑚 < 4 = ____________________
3. Given the following diagram, 𝐴𝑃 = 12 and 𝐵𝐷 = 15.
a) Find AB and AD.
𝐴𝐵 = _________
AD=___________
b) Explain how you know 𝐴𝐶 = 𝐵𝐶 ______________________________________
Multiple Choice (#4-8)
4. Which additional information is necessary to prove ∆𝑀𝑃𝑁 ≅ ∆𝑄𝑁𝑃?
̅̅̅̅̅ ≅ ̅̅̅̅
a) 𝑁𝑀
𝑁𝑃
b) < 𝑃𝑁𝑀 ≅< 𝑁𝑃𝑄
c) < 𝑀 ≅< 𝑄
̅̅̅̅
̅̅̅̅̅ ≅ 𝑃𝑄
d) 𝑁𝑀
5. The diagram shows the 2nd step in the construction of the perpendicular bisector. What is
the next step?
a) Keep the point of the compass in the same place but turn the compass around and mark to the left of the
segment
b) Keep the same compass setting, move the point of the compass to the other endpoint and make a mark above
and below the line.
c) Estimate the midpoint of the segment and connect it to the mark above the line
d) Increase the length of the compass to match the length of the segment and make another set of marks above
and below the line
6. The congruent sides of an isosceles trianlge measure 2𝑥 − 5 and 𝑥 + 7. If the perimeter
of the triangle is 50, find the length of the noncongruent side.
a) 12
b) 19
c) 16.67
d) 25
7. In the diagram, what angle is congruent to < 𝑆𝑉𝑇?
a) < 𝑆𝑇𝑉
b) < 𝑇𝑆𝑉
c) < 𝑈𝑇𝑉
d) < 𝑈𝑉𝑇
8. Find the value of ? in the diagram below.
a) 45°
b) 100°
c) 135°
d) 145°
9. Complete the steps in the proof below.
Steps
1.
2. < 𝑋𝑌𝑍 ≅< 𝑊𝑍𝑌,< 𝑋𝑍𝑌 ≅ 𝑊𝑌𝑍
3.
4. ∆𝑋𝑌𝑍 ≅ ∆𝑊𝑍𝑌
5.
Justifications
1. Given
2.
3. Reflextive Property of Congruence
4.
5.
10.Match the congruence pattern to the picture.
ASA
SSS
SAS
Not necessarily congruent
11. Describe the following angle pairs as alternate interior angles, vertical angles,
corresponding angles, or supplementary angles.
<1 and <5 ______________________
<3 and <2 _________________________
<7 and <5 ______________________
<4 and <5 _________________________
12. The following questions are about equilateral and isosceles triangles.
a) The three angles of an equilateral triangle each measure ____________ degrees.
b) True/false If you know one of the angles of an isosceles triangle, you can find the
measure of the other two.
c) Find x in the diagram below. x = _____________
d) Find y in the diagram below. y=______________
13.Use a compass and straightedge to construct a line perpendicular to the given line that
goes through the given point.
.
14.If you know that two triangles are congruent, you know that any unmarked corresponding
parts are also congruent by _______________________.