Problem 2: Determine whether each statement is true or false, and state à reason for wer. a) A quadrilateral may have both a right angle and an obtuse angle. b) If two angles are complementary, one of them must be either right or obtuse. c) If two angles are supplementary, one of them must be either right or obtuse.

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 2: Determine whether each statement is true or false, and state a reason for your answer.
a) A quadrilateral may have both a right angle and an obtuse angle.
b) If two angles are complementary, one of them must be either right or obtuse.
c) If two angles are supplementary, one of them must be either right or obtuse.
I
d) Every parallelogram is a trapezoid.
e) All regular polygons are concave.
f) Some obtuse triangles are isosceles triangles.
g) The supplement of an angle measuring 64° is an angle measuring 26°.
h) Every equilateral triangle is isosceles.
i) A rhombus is a regular polygon.
j) Every hexagon is a regular polygon.
k) The acute angles of a right triangle are complementary.
1) The acute angles of a right triangle are supplementary.
Transcribed Image Text:Problem 2: Determine whether each statement is true or false, and state a reason for your answer. a) A quadrilateral may have both a right angle and an obtuse angle. b) If two angles are complementary, one of them must be either right or obtuse. c) If two angles are supplementary, one of them must be either right or obtuse. I d) Every parallelogram is a trapezoid. e) All regular polygons are concave. f) Some obtuse triangles are isosceles triangles. g) The supplement of an angle measuring 64° is an angle measuring 26°. h) Every equilateral triangle is isosceles. i) A rhombus is a regular polygon. j) Every hexagon is a regular polygon. k) The acute angles of a right triangle are complementary. 1) The acute angles of a right triangle are supplementary.
Problem 1: Determine for each of the following which of the figures labeled (1) through (6) can be classified
under the given term (you may have more than one number a letter).
a. Obtuse triangle
b. Scalene triangle
c. Isosceles triangle
d. Acute triangle
e. Trapezoid
f. Rectangle
g. Rhombus
h. Parallelogram
m-EFG = 121.10°
F
1.5 cm
1.2 cm
E
(1)
G
(2)
(3)
(4)
(5)
(6)
Transcribed Image Text:Problem 1: Determine for each of the following which of the figures labeled (1) through (6) can be classified under the given term (you may have more than one number a letter). a. Obtuse triangle b. Scalene triangle c. Isosceles triangle d. Acute triangle e. Trapezoid f. Rectangle g. Rhombus h. Parallelogram m-EFG = 121.10° F 1.5 cm 1.2 cm E (1) G (2) (3) (4) (5) (6)
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