Download ExamView - 4.8 Isosceles and Equilateral Triangles Quiz.tst

Name: ________________________ Class: ___________________ Date: __________
ID: A
4.8 Isosceles and Equilateral Triangles Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth,
represented by point C. What is m∠A?
a.
b.
c.
d.
____
m∠A = 65°
m∠A = 115°
m∠A = 50°
m∠A = 60°
2. Find m∠Q.(I don’t want the value of x)
a.
b.
c.
d.
m∠Q = 30 °
m∠Q = 60 °
m∠Q = 70 °
m∠Q = 75 °
1
ID: A
4.8 Isosceles and Equilateral Triangles Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: A
BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem,
∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°.
Feedback
A
B
C
D
Correct!
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
PTS: 1
DIF: Average
REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea
OBJ: 4-8.1 Application
LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003
TOP: 4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle
DOK: DOK 1
2. ANS: D
Isosceles Triangle Theorem
m∠Q = m∠R = (2x + 15)°
m∠P + m∠Q + m∠R = 180°
Triangle Sum Theorem
Substitute x for m∠P and substitute 2x + 15 for m∠Q and
x + (2x + 15) + (2x + 15) = 180
m∠R.
5x = 150
Simplify and subtract 30 from both sides.
x = 30
Divide both sides by 5.
Thus m∠Q = (2x + 15)° = [2 (30) + 15]° = 75°.
Feedback
A
B
C
D
This is x. The measure of angle Q is 2x + 15.
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
Correct!
PTS:
OBJ:
TOP:
DOK:
1
DIF: Average
REF: 1a991bda-4683-11df-9c7d-001185f0d2ea
4-8.2 Finding the Measure of an Angle
LOC: MTH.C.11.02.01.01.007
4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle theorem
DOK 2
1
Name: ________________________ Class: ___________________ Date: __________
ID: B
4.8 Isosceles and Equilateral Triangles Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find m∠Q.(I don’t want the value of x)
a.
b.
c.
d.
____
m∠Q = 70 °
m∠Q = 60 °
m∠Q = 30 °
m∠Q = 75 °
2. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth,
represented by point C. What is m∠A?
a.
b.
c.
d.
m∠A = 50°
m∠A = 115°
m∠A = 65°
m∠A = 60°
1
ID: B
4.8 Isosceles and Equilateral Triangles Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: D
m∠Q = m∠R = (2x + 15)°
m∠P + m∠Q + m∠R = 180°
x + (2x + 15) + (2x + 15) = 180
5x = 150
x = 30
Isosceles Triangle Theorem
Triangle Sum Theorem
Substitute x for m∠P and substitute 2x + 15 for m∠Q and
m∠R.
Simplify and subtract 30 from both sides.
Divide both sides by 5.
Thus m∠Q = (2x + 15) ° = [2 (30) + 15]° = 75°.
Feedback
A
B
C
D
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
This is x. The measure of angle Q is 2x + 15.
Correct!
PTS: 1
DIF: Average
REF: 1a991bda-4683-11df-9c7d-001185f0d2ea
OBJ: 4-8.2 Finding the Measure of an Angle
LOC: MTH.C.11.02.01.01.007
TOP: 4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle theorem
DOK: DOK 2
2. ANS: C
BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem,
∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°.
Feedback
A
B
C
D
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Correct!
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
PTS:
OBJ:
TOP:
DOK:
1
DIF: Average
REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea
4-8.1 Application
LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003
4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle
DOK 1
1
Name: ________________________ Class: ___________________ Date: __________
ID: C
4.8 Isosceles and Equilateral Triangles Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Two Seyfert galaxies, BW Tauri and M77, represented by points A and B, are equidistant from Earth,
represented by point C. What is m∠A?
a.
b.
c.
d.
____
m∠A = 115°
m∠A = 50°
m∠A = 65°
m∠A = 60°
2. Find m∠Q.(I don’t want the value of x)
a.
b.
c.
d.
m∠Q = 30 °
m∠Q = 70 °
m∠Q = 75 °
m∠Q = 60 °
1
ID: C
4.8 Isosceles and Equilateral Triangles Quiz
Answer Section
MULTIPLE CHOICE
1. ANS: C
BW Tauri and M77 are equidistant from Earth, so AC ≅ BC . By the Isosceles Triangle Theorem,
∠A ≅ ∠CBA. From the Angle Addition Postulate, m∠CBA = 65° and m∠A=65°.
Feedback
A
B
C
D
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
Correct!
Angles A and CBA are congruent. Use the Angle Addition Postulate to find the measure
of angle CBA.
PTS: 1
DIF: Average
REF: 1a96e08e-4683-11df-9c7d-001185f0d2ea
OBJ: 4-8.1 Application
LOC: MTH.C.11.03.02.03.02.002 | MTH.C.11.03.02.06.01.003
TOP: 4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle
DOK: DOK 1
2. ANS: C
Isosceles Triangle Theorem
m∠Q = m∠R = (2x + 15) °
m∠P + m∠Q + m∠R = 180°
Triangle Sum Theorem
Substitute x for m∠P and substitute 2x + 15 for m∠Q and
x + (2x + 15) + (2x + 15) = 180
m∠R.
5x = 150
Simplify and subtract 30 from both sides.
x = 30
Divide both sides by 5.
Thus m∠Q = (2x + 15) ° = [2 (30) + 15]° = 75°.
Feedback
A
B
C
D
This is x. The measure of angle Q is 2x + 15.
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
Correct!
By the Isosceles Triangle Theorem, the measure of angle Q equals the measure of angle
R. Use the Triangle Sum Theorem and solve for x.
PTS:
OBJ:
TOP:
DOK:
1
DIF: Average
REF: 1a991bda-4683-11df-9c7d-001185f0d2ea
4-8.2 Finding the Measure of an Angle
LOC: MTH.C.11.02.01.01.007
4-8 Isosceles and Equilateral Triangles
KEY: isosceles triangle theorem
DOK 2
1