Download Alternate Interior Angles - Regents Questions

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Name: ____________________________________________ Date:____________
Mr.Rother / Mr. Goodman
Geometry
Alternate Interior Angles - Regents Questions
Questions 1 and 2 refer to the following:
1)
A3 and A6 can be classified as
A)
B)
C)
D)
2)
alternate interior angles
corresponding angles
interior angles on the same side as the transversal
none of these
A 4 and A 5 can be classified as
A)
B)
C)
D)
alternate interior angles
corresponding angles
interior angles on the same side as the transversal
none of these
3)
From the given figure, name a pair of alternate interior angles.
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Questions 4 through 6 refer to the following:
4)
Name the segments, if any, that are parallel if A6 C A9.
5)
Name the segments, if any, that are parallel if A 5 C A 7.
6)
Name the segments, if any, that are parallel if A4 C A8.
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Questions 7 and 8 refer to the following:
7)
If mA 3 = 60D and mA10 = 60D can be used to show that two lines are parallel, (a) name the parallel lines and
(b) state the theorem or corollary you would use.
8)
If A14 C A6 can be used to show that two lines are parallel, (a) name the parallel lines and (b) state the theorem
or corollary you would use.
9)
What is the value of x that makes l 1 H l2?
A) 37
B) 25
C) 35
D) 5
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10)
What is the value of x that makes l 1 H l2?
A) 11.6
B) 8
C) 10
D) 26.6
C) A 8
D) A 6
C) A 1
D) A 5
C) A 4
D) A 8
Questions 11 through 13 refer to the following:
In the diagram below, PQ H RS and QR H PS.
11)
What is an angle congruent to A1?
A) A2
12)
What is an angle congruent to A2?
A) A6
13)
B) A5
B) A7
What is an angle congruent to A3?
A) A5
B) A7
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14)
In the diagram below, AB H CD.
If mA 4 = 120D, what is mA5?
A) 120D
15)
B) 60D
D) 90D
Two parallel lines are cut by a transversal. The measures of two alternate interior angles are represented by
10x - 9 and 8x + 15. Find the value of x.
Questions 16 and 17 refer to the following:
In the diagram below, AE H BD.
16)
C) 30D
If x = 110D, find y.
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17)
If x = 120D, find y.
18)
In the accompanying diagram, AB is parallel to CD, and transversal EH intersects AB and CD at F and G,
respectively.
If mA AFG = (2x + 10)D and mA FGD = (x + 20)D , find the value of x.
19)
In the accompanying diagram, parallel lines AB and CD are intersected by GH at E and F, respectively.
If mA BEF = (5x - 10)D and mACFE = (4x + 20)D , find x.
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20)
In the accompanying diagram, AB is parallel to CD, AED is a transversal, and CE is drawn.
If mA CED = 60D, mADAB = 2x D, and mA DCE = 3x D, find x.
21)
In the accompanying figure, AB H CD and EH is a transversal intersecting AB at F and CD at G.
If mA AFG = (3x + 15)D and mA FGD = (5x - 5)D, find x.
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22)
In the accompanying diagram, AEB H CFD and EF is a transversal.
If mAAEF = (2x + 40)D and mAEFD = (3x + 10)D, find x.
23)
In the diagram below, PQ H RS.
If mA P = 60D and mAQ = 80D, find mA QRT.
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24)
In the diagram below, ABC H DEF and BE C BF.
If mA DEB = 125D , find mA CBF.
25)
In the figure below, RS H PQ.
Find mAPQR.