End Of Course Geometry Practice Test With Answers - North Thurston Public Schools Page 8
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30Day 7
∠
Triangle JKE is an obtuse isosceles triangle with m
E = 10 and
.
19.
What is the m∠J ?
∆JKE is isosceles, which means two of the angles
are congruent. The fact that
means
K
0 A. 170
that the angle opposite
is larger than the angle
opposite
(or angle J is larger than angle E).
0 B. 160
Since angle J is bigger than E and the triangle is
0 C. 85
10°
isosceles, then angle K must measure 10° (a
E
J
triangle can’t have two obtuse angles) giving us
0 D. 10
the equation:
(Related Tutorial Videos:
Video
1,
Video
2)
A proof is shown.
20.
Fill in the blanks for steps 5 and 6 to complete the proof.
A
Given: B is the midpoint of
.
C
B is the midpoint of
.
B
Prove:
.
D
E
Statements
Reasons
1.
B is the midpoint of
.
1. Given
2. Definition of midpoint
2.
3.
B is the midpoint of
.
3. Given
4.
4. Definition of midpoint
5.
m<ABD
m<CBE
5. Vertical Angles Theorem
6.
6.
Side-Angle-Side Congruency
Which ordered pair is the midpoint of the line segment with endpoints (2,-5) and (-6, 4)?
21.
0 A. (-4, -1)
Midpoint Formula:
0 B.
Midpoint:
0 C.
Midpoint:
0 D. (-2, -1)
(Related Tutorial Video:
See question
9)
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