WorksheetsCorresponding Parts/Special Segments
Total questions: 35
Worksheet time: 3hrs 55mins
Name
Class
Date
1.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
2.
Name the corresponding angle or side.
a)
A
b)
B
c)
C
d)
D
3.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
4.
If ∆SOK ≅ ∆LMT, then
∠K ≅ ____
a)
∠S
b)
∠T
c)
∠M
d)
∠L
5.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
6.
Use the congruency statement to answer the following:
∠F = ∠ ___
∠F = ∠ ___
a)
H
b)
I
c)
G
d)
not congruent to another angle
7.
In congruent triangles, corresponding parts are always ______.
a)
opposite
b)
equal
c)
equilateral
d)
acute
8.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
9.
Remember order matters. Which of the following is true?
a)
∆FGH ≅ ∆VHW
b)
∆HFG ≅ ∆HWV
c)
∆HGF ≅ ∆VHW
d)
∆FGH ≅ ∆VWH
10.
These two triangles are congruent. If ∠C is 40o find the measure of ∠F.
a)
40o
b)
50o
c)
90o
d)
45o
11.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
12.
Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PR.
a)
10
b)
2
c)
12
d)
30
13.
Given that ΔPQR ≅ Δ LJK, PR=2x+6, JL= 10 units, LK= 3x-6, find the measure of side PQ.
a)
12
b)
10
c)
2
d)
30
14.
Solve for x given ∆ABC≅∆MNO , AC=34 , AB=14−x , and MO=3x−2 . Hint.... sketch a picture.
a)
12
b)
-20
c)
4
d)
34
15.
This symbol means congruent
a)
≅
b)
≠
c)
∠
d)
Δ
16.
Find y.
a)
2
b)
3
c)
4
d)
5
17.
A line in a triangle that is perpendicular to a side and passes through its midpoint.
a)
median
b)
perpendicular bisector
c)
altitude
d)
angle bisector
18.
Find BC.
a)
BC = 4
b)
BC = 16
c)
BC = 12
d)
BC = 24
19.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
20.
Which of the following describes a perpendicular bisector of a triangle?
a)
A segment that is perpendicular to the side of a triangle at its midpoint.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
21.
Segment bisector
a)
The three medians of a triangle are concurrent
b)
A line, ray, or segment that passes through the midpoint of a segment
c)
Balance point
d)
The segment connecting the vertex of a triangle to the midpoint of its opposite side
22.
Median
a)
The segment connecting the vertex of a triangle to the midpoint of its opposite side
b)
The point of concurrency for the three altitudes
c)
The point of concurrency for the perpendicular bisectors
d)
The shortest distance from a point to a line is measured along the perpendicular segment from the point to the line
23.
Altitude (of a triangle)
a)
A perpendicular segment from a vertex to the opposite side or to a line containing the opposite side
b)
If two lines are cut by a transversal to form congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel
c)
The three perpendicular bisectors of a triangle are concurrent
d)
The point of concurrency of the three medians
24.
Midpoint
a)
The centroid of a triangle divides each median into two parts so that the distance from the centroid to the vertex is twice the distance from the centroid to the midpoint of the opposite side
b)
The point on the line segment that is the same distance from both endpoints
c)
The shortest distance from a point to a line is measured along the perpendicular segment from the point to the line
d)
The point of concurrency for the perpendicular bisectors
25.
Which of the following segments represents a median?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
26.
Which of the following segments represents an altitude?
a)
Segment BX
b)
Segment AZ
c)
Segment AC
d)
Segment BZ
27.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
28.
The figure is an example of a(n) ...
a)
altitude
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
29.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
30.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AT is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
31.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AN is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AN is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
32.
Given
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
∠BAN ≅ ∠NAC
BR = RC.
Segment AR is a(n)....
a)
Perpendicular Bisector
b)
Altitude
c)
Angle Bisector
d)
Median
33.
What is the only special triangle segment that does not have to go through a vertex?
a)
Median
b)
Altitude
c)
Angle Bisector
d)
Perpendicular Bisector
34.
What is true about a perpendicular bisector?
a)
Cuts the side of a triangle into 2 congruent parts.
b)
It is perpendicular to the side of a triangle.
c)
It passes through the midpoint of the side of the triangle.
d)
All of the above
35.
Which of the following describes an altitude of a triangle?
a)
A segment that passes through the middle of the triangle.
b)
A segment with endpoints at the vertex and midpoint of the opposite side.
c)
A segment that connects two midpoints of two sides.
d)
A segment that connects the vertex and the opposite side at 90 degrees.
100 %
