AnswersTPS EdX GeometryTriangle Similarity

Triangle Similarity — Test Answers

75 verified answers3 views
41
Free Preview

If triangle YWZ approximates triangle YXW , what is true about angle XWZ ?

A
angle XWZ is congruent to angle WXY .
B
angle XWZ is a right angle.
C
angle XWZ is congruent to angle XZW .
D
angle XWZ is an obtuse angle.
42
Free Preview

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
a dilation and a rotation
B
a translation and a dilation
C
a reflection and a dilation
D
a rotation and a reflection
43

What is the length of line segment SR ?

A
12 units
B
15 units
C
9 units
D
18 units
44

To prove that triangle cap d cap f cap e approximates triangle cap g cap f cap h by the SAS similarity theorem, it can be stated that the fraction with numerator cap d cap f and denominator cap g cap f is equal to the fraction with numerator cap e cap f and denominator cap h cap f and

A
angle cap f cap h cap g is 1 fourth the measure of angle cap f cap e cap d .
B
angle cap f cap h cap g is congruent to angle cap e cap f cap d .
C
angle cap d cap f cap e is congruent to angle cap g cap f cap h .
D
angle cap d cap f cap e is 4 times greater than angle cap g cap f cap h .
46

Use the converse of the side-splitter theorem to determine if mathrm cap t cap u is parallel to mathrm cap r cap s Which statement is true?

A
Line segment TU is parallel to line segment RS because 32 over 36 is equal to 40 over 45 .
B
Line segment TU is parallel to line segment RS because 32 over 45 is equal to 40 over 36 .
C
Line segment TU is not parallel to line segment RS because 32 over 36 is not equal to 40 over 45 .
D
Line segment TU is not parallel to line segment RS because 32 over 45 is not equal to 40 over 36 .
47

What is the perimeter of triangle WXY ?

A
12 point 4 6 cm
B
11 point 5 7 cm
C
12 point 2 2 cm
D
14 point 5 0 cm
48

What is the value of y ?

A
12 square root of 3 units
B
3 square root of 3 units
C
6 square root of 3 units
D
9 square root of 3 units
50

Select the correct similarity statement.

A
triangle STR approximates triangle TQR
B
triangle STR approximates triangle RTQ
C
triangle STR approximates triangle SQR
D
triangle STR approximates triangle RST
51

Which ratio is also equal to the fraction with numerator cap r cap t and denominator cap r cap x and the fraction with numerator cap r cap s and denominator cap r cap y ?

A
the fraction with numerator cap s cap y and denominator cap r cap y
B
the fraction with numerator cap r cap x and denominator cap x cap t
C
the fraction with numerator cap s cap t and denominator cap y cap x
D
the fraction with numerator cap x cap y and denominator cap t cap s
52

Which statements are true? Choose two correct answers.

A
triangle BCX is congruent to triangle ACX
B
triangle AXC approximates triangle CXB
C
triangle CXA is congruent to triangle CBA
D
triangle ACB approximates triangle AXC
E
triangle ABC is congruent to triangle BXC
53

What is the value of y ?

A
12 square root of 3 units
B
3 square root of 3 units
C
9 square root of 3 units
D
6 square root of 3 units
54

Which would prove that triangle cap A cap b cap c approximates triangle cap x cap y cap z ? Choose two correct answers.

A
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap A cap c and denominator cap y cap z is equal to the fraction with numerator cap b cap c and denominator cap x cap z
B
the fraction with numerator cap A cap c and denominator cap x cap z is equal to the fraction with numerator cap b cap A and denominator cap y cap x comma angle cap A is congruent to angle cap x
C
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z is equal to the fraction with numerator cap A cap c and denominator cap x cap z
D
the fraction with numerator cap b cap c and denominator cap x cap y is equal to the fraction with numerator cap b cap A and denominator cap z cap x comma angle cap c is congruent to angle cap x
E
the fraction with numerator cap b cap A and denominator cap y cap x is equal to the fraction with numerator cap b cap c and denominator cap y cap z comma angle cap c is congruent to angle cap z
55

Which transformations could have occurred to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
a dilation and a rotation
B
a translation and a dilation
C
a rotation and a reflection
D
a reflection and a dilation
57

What is the value of x ?

A
25 units
B
20 units
C
12 units
D
15 units
58

Which ratio is also equal to the fraction with numerator cap r cap t and denominator cap r cap x and the fraction with numerator cap r cap s and denominator cap r cap y ?

A
the fraction with numerator cap s cap y and denominator cap r cap y
B
the fraction with numerator cap r cap x and denominator cap x cap t
C
the fraction with numerator cap x cap y and denominator cap t cap s
D
the fraction with numerator cap s cap t and denominator cap y cap x
60

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

A
the fraction with numerator cap A cap c and denominator cap g cap i is equal to the fraction with numerator cap b cap c and denominator cap h cap i .
B
the fraction with numerator cap A cap c and denominator cap g cap i is equal to the fraction with numerator cap h cap i and denominator cap b cap c .
C
angle cap c is congruent to angle cap g .
D
angle cap c is congruent to angle cap c .

Did you find these answers helpful?