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WorksheetsSonntag GeometryA Chapter 4
Total questions: 25
Worksheet time: 30mins
Name
Class
Date
1.
If a triangle has all angles that measure less than 90°, then it is a(n)
a)
Obtuse Triangle
b)
Acute Triangle
c)
Scalene Triangle
d)
Acute Triangle
2.
∆ABC is equilateral with AB = 3x-2, BC = 2x+4, and CA = x+10. Find x and the measure of each side of the triangle.
a)
x=6, All sides equal 16
b)
x=16, All sides equal 24
c)
x=4, All sides equal 16
3.
Marsha cuts a rectangular piece of paper in half along the diagonal. The result is two triangles. Classify these two triangles as acute, right, or obtuse.
a)
Both are Acute
b)
Both are Right
c)
Both are obtuse
4.
ΔDEF is isosceles, ≺D is the vertex, DE= x+7, DF= 3x-1, and EF= 2x+5. Find the measure of x and each side of the triangle.
a)
x=23; DE=45, DF=45, EF= 38
b)
x=4, DE=11, DF=11, EF=13
5.
The sum of the measures of the angles of a triangle must equal...
a)
165°
b)
100°
c)
180°
d)
240°
6.
Picture a roof of a house. If one angle is 40°, and the other is 47°, what is the measure of the missing angle?
a)
49°
b)
72°
c)
130°
d)
93°
7.
If two angles of one triangles are congruent to two angles of a second triangle, than the third angle is....
a)
Supplementary
b)
Adjacent
c)
Congruent
d)
Similar
8.
In triangle ΔABC one angle is 72° and one is 65°. Find the missing angle measure.
a)
43°
b)
46°
c)
100°
9.
For triangles to be congruent they must?...
a)
have only two angles the same
b)
have all sides and all angles the same
c)
thave only angles the same
d)
have all sides the same
10.
Name the corresponding angle or side
a)
A. ∠E
b)
B. ∠CUE
c)
C. ∠C
d)
D. side UE
11.
Name the corresponding angle or side.
a)
A. side SQ
b)
B. side RS
c)
C. side QR
d)
D. side ∠S
12.
If △ABC is congruent to △DEF, and ∠B is 110 degrees, how many degrees is ∠E?
a)
11 degrees
b)
59 degrees
c)
101 degrees
d)
110 degrees
13.
Name the congruent angles and sides of congruent triangles △CDG and △RSW?
a)
∠C ≅ ∠R; ∠D ≅ ∠S; ∠G ≅ ∠W; CD ≅ RS; DG ≅ SW; CG ≅ RW
b)
∠D ≅∠R;∠G ≅ ∠C; ∠S ≅ ∠W; DG ≅ RW; CD ≅ CG; SW ≅ RS
c)
not congruent
14.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
15.
Which segment is congruent to EF?
a)
HG
b)
HF
c)
GF
d)
IE
16.
Are these triangles congruent? If so, state the rule which you used to determine congruence.
a)
AAA
b)
AAS
c)
ASA
d)
Not necessarily congruent
17.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
18.
Congruent by
a)
SSS
b)
SAS
c)
ASA
d)
AAS
19.
What type of triangle is RPQ
a)
Equalateral
b)
Right
c)
Scalene
d)
Isosceles
20.
Find x and y
a)
x=60
y=60
y=60
b)
x=54
y=54
y=54
c)
x=63
y=63
y=63
d)
x=64
y=66
y=66
21.
Find x and y
a)
x=10
y=12
y=12
b)
x=1.5
y=-6.5
y=-6.5
c)
x=2
y=-7
y=-7
d)
x=-6.5
y=1.5
y=1.5
22.
True or False, If a triangle has three sides, then it has three congruent angles.
a)
False
b)
True
23.
find the missing coordinates
a)
(a,b)
b)
(2a,b)
c)
(a,2b)
d)
(a,2b)
24.
Is a triangle with the coordinates (0,0), (4,10), (8,0) an isosceles triangle
a)
No
b)
Yes
25.
Is a triangle with the coordinates (4,1), (2,3) (0,1) and isosceles triangle
a)
Yes
b)
No
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