Saved image

Determine the value of x in the figure.
Question 1 options:

A)

x = 135

B)

x = 90

C)

x = 45

D)

x = 85
Question 2 (5 points)
Saved
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Which missing piece of information would allow the triangles in the figure to be proven congruent by ASA?
Question 2 options:

A)

≅

B)

≅

C)

∠C ≅ ∠L

D)

∠B ≅ ∠K
Question 3 (5 points)
Saved
image

Which missing piece of information would allow the triangles in the figure to be proven congruent by AAS?
Question 3 options:

A)

∠B ≅ ∠K

B)

≅

C)

≅

D)

∠C ≅ ∠L
Question 4 (5 points)
Saved
image

Are the two triangles congruent through SSS or HL?
Question 4 options:

A)

The triangles can't be proven congruent through either SSS or HL.

B)

The triangles are congruent through HL.

C)

The triangles are congruent only through SSA.

D)

The triangles are congruent through SSS.
Question 5 (5 points)
Saved
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Which statement justifies that ∠K ≅ ∠N?
Question 5 options:

A)

ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

B)

ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.

C)

ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles.

D)

The two angles aren't congruent.
Question 6 (5 points)
Saved
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Each angle of the equilateral triangle in the figure has measure (2x – 9)°. Determine the value of x.
Question 6 options:

A)

x = 60

B)

x = 25.5

C)

x = 69

D)

x = 34.5
Question 7 (5 points)
Saved
Which of the following pairs of triangles can be proven congruent through HL?
Question 7 options:

A)

image

B)

image

C)

image

D)

image
Question 8 (5 points)
Saved
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The two triangles shown are congruent: ΔFHG ≅ ΔJKL. Based on this information, which of the following is a true statement?
Question 8 options:

A)

≅

B)

∠H ≅ ∠L

C)

≅

D)

∠G ≅ ∠L
Question 9 (5 points)
image

Determine the value of z.
Question 9 options:

A)

53°

B)

121°

C)

57°

D)

239°
Question 10 (5 points)
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Which congruence statement correctly compares the two triangles shown?
Question 10 options:

A)

ΔBCD ≅ ΔMKL

B)

ΔCBD ≅ ΔKLM

C)

ΔBCD ≅ ΔMLK

D)

ΔDCB ≅ ΔMLK
Question 11 (5 points)
image

Determine the value of x in the figure.
Question 11 options:

A)

x = 40

B)

x = 135

C)

x = 90

D)

x = 45
Question 12 (5 points)
image

Determine the value of the missing interior angle.
Question 12 options:

A)

56°

B)

59°

C)

90°

D)

61°
Question 13 (5 points)
image

Classify the triangle by its angles.
Question 13 options:

A)

Equilateral triangle

B)

Acute triangle

C)

Obtuse triangle

D)

Right triangle
Question 14 (5 points)
image

Determine the value of x in the figure.
Question 14 options:

A)

x = 65

B)

x = 60

C)

x = 50

D)

x = 130
Question 15 (5 points)
image

Determine the value of x in the figure.
Question 15 options:

A)

x = 35

B)

x = 40

C)

x = 140

D)

x = 70
Question 16 (5 points)
image

Determine the value of x in the figure.
Question 16 options:

A)

x = 3

B)

x = 4.5

C)

x = 6

D)

x = 9
Question 17 (5 points)
image

The figure shown models a roof truss. Based on the markings, is there enough information to prove that ΔCED ≅ ΔCGD?
Question 17 options:

A)

No, because SSA isn't a triangle congruence theorem.

B)

Yes, the triangles are congruent by HL.

C)

No, the two triangles aren't congruent because they aren't right angles.

D)

Yes, the triangles are congruent by SSA.
Question 18 (5 points)
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The figure shown represents a triangular window design. If ΔIKL ≅ ΔJOP, which of the following statements must be true?
Question 18 options:

A)

≅

B)

∠IKL ≅ ∠OPJ

C)

∠PNM ≅ ∠OJP

D)

≅
Question 19 (5 points)
image

ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement?
Question 19 options:

A)

≅

B)

∠A ≅ ∠C

C)

∠B ≅ ∠X

D)

≅
Question 20 (5 points)
Which of the following pairs of triangles can be proven congruent by ASA?
Question 20 options:

A)

image

B)

image

C)

image

D)

image