Triangle Angle Theorems — Unit test Answers

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A line extends from a side of a triangle.

Question illustration
A
a remote interior angle
B
an adjacent interior angle
C
an exterior angle
D
a complementary angle
2
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Triangle B C D is shown. Line D B extends through point A to form exterior angle A B C. Angle B D C is 67 degrees and Angle C D B is 60 degrees.

Question illustration
A
m∠ABC = 60°
B
m∠ABC = 67°
C
m∠ABC = 120°
D
m∠ABC = 127°
3

The truth table represents statements p, q, and r. pqr AT T T BT T F CT F T DT F F EF T T FF T F GF F T HF F F

A
r → (p ∧ q)
B
r → (p ∨ q)
C
(q ∧ r) → p
D
(q ∨ r) → p
4

Let p: The day is Tuesday.Let q: The day is Thursday.Let r: She comes to work.Which represents the statement "The day is Tuesday or Thursday if and only if she comes to work”?

A
p ↔ (q ∧ r)
B
p ↔ (q ∨ r)
C
(p ∧ q) ↔ r
D
(p ∨ q) ↔ r
5

Let p: A shape is a triangle.Let q: A shape has four sides.Which is true if the shape is a rectangle?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Let p: The whole number has one digit.Let q: The whole number is less than 10.Which represents "The whole number has one digit if and only if the whole number is less than 10”?

A
p ∨ q
B
p ∧ q
C
p → q
D
p ↔ q
7

Lines P S and W T are horizontal and parallel. Lines V R and Q R are diagonal and intersect lines P S and W T to form triangle X Y Z.

Question illustration
A
∠RXZ and ∠YXZ
B
∠PXQ and ∠RXS
C
∠YZX and ∠UZT
D
∠WZX and ∠XYZ
8

A triangle with exterior angles is shown. The bottom right angle of the triangle is (3 h + 18) degrees. The bottom right exterior angle is (15 h) degrees.

Question illustration
A
h = 1.5
B
h = 9
C
h = 10
D
h = 13.5

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Triangle Angle Theorems — Unit test Answers —…