Answers Mathematics IISimilarity, Right Triangle Trigonometry, and Proof: Part One

Similarity, Right Triangle Trigonometry, and Proof: Part One — Test Answers

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Given that r is parallel to s and q is a transversal, we know that angle 3 is congruent to angle 6 by the [________].

vertical angles theorem

corresponding angles theorem

alternate exterior angles theorem

alternate interior angles theorem

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What is the value of x ?

x is equal to 22

x is equal to 11 point 2 5

x is equal to 2 point 2 5

x is equal to 13

Based on the diagram, which expresses all possible lengths of segment AB ?

AB is equal to 85

AB is less than 27 or AB is greater than 81

AB is equal to 25

27 is less than AB comma AB is less than 81

Which angle is an adjacent interior angle to angle JKM ?

angle MKL

angle KLM

angle LMK

angle JKL

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

given

transitive property

alternate interior angles theorem

converse alternate interior angles theorem

What is m angle ABC ?

m angle ABC is equal to 60 degrees

m angle ABC is equal to 75 degrees

m angle ABC is equal to 45 degrees

m angle ABC is equal to 15 degrees

Lines AC and RS can best be described as

parallel.

skew.

intersecting.

perpendicular.

What expression represents the measure of angle cap x ?

180 minus 2 A

A over 2

90 minus A

2 A

What is true about the sides of KNM ?

KN is equal to 1 half KM

KN plus NM is equal to KM

KM is equal to 2 times NM

KN is equal to NM

What is the value of d ?

d is equal to 155

d is equal to 55

d is equal to 75

d is equal to 125

What is the value of x ?

x is equal to 37

x is equal to 35

x is equal to 28

x is equal to 21

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this triangle?

6 cm and 7 cm

7 cm and 2 cm

5 cm and 8 cm

8 cm and 9 cm

If triangle ABC has a 130 degrees angle at vertex cap b , which statement must be true?

m angle cap A is equal to 20 degrees and m angle cap c is equal to 20 degrees

m angle cap A is equal to 15 degrees and m angle cap c is equal to 35 degrees

m angle cap A plus m angle cap c is equal to 50 degrees

m angle cap A plus m angle cap b is equal to 180 degrees

Which diagram shows lines that must be parallel lines cut by a transversal?

Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the left of the transversal is labeled 65 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.

Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees, and the angle below the upper line and to the right of the transversal is labeled 65 degrees. No angle measure is shown at the lower intersection.

Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle above the upper line and to the right of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 115 degrees.

Image with description Two left-to-right lines are crossed by a slanted transversal. At the upper intersection, the angle below the upper line and to the left of the transversal is labeled 115 degrees. At the lower intersection, the angle above the lower line and to the left of the transversal is labeled 65 degrees.

Triangle JKL is isosceles. The measure of angle cap j is 72 degrees and the measure of angle cap k is 36 degrees Which statement describes angle cap l ?

Angle cap l is a base angle and measures 72 degrees .

Angle cap l is a base angle and measures 36 degrees .

Angle cap l is a vertex angle and measures 36 degrees .

Angle cap l is a vertex angle and measures 72 degrees .

If triangle RST is an acute triangle, then m angle cap s must be

greater than 90 degrees and less than 180 degrees .

equal to 100 degrees .

equal to 90 degrees .

less than 90 degrees .

The total number of degrees in the center is 360 degrees If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?

144 degrees

108 degrees

72 degrees

54 degrees

If A is parallel to b and e is parallel to f , what is the value of y ?

What is the value of y ?

y is equal to 100

y is equal to 120

y is equal to 40

y is equal to 80

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

over left right arrow FS

over left right arrow EF

over left right arrow EA

over left right arrow FG

over left right arrow ER

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Similarity, Right Triangle Trigonometry, and Proof: Part One — Test Answers

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