WorksheetsStudy for Geometry
Total questions: 11
Worksheet time: 51mins
Given R, S, and T are colinear with S between R and T. If RS = 24, ST = 3x – 4, and RT = 5x - 12, find the value of x. Then find RT. (Hint: do this on paper!)
x=16 rt=-7
x=16 rt=68
x=1 rt=-7
x=1 rt=68
Given F, G, and H are collinear with G between F and H. Find the value of x, if FG = 3x + 1, GH = 2x – 2, and FH = 64. Then find FG and GH. (Hint: figure it out on paper)
x=12.6 fg=23.2 gh=38.8
x=12.6 fg= 38.8 gh=23.2
x=13 fg=24 gh=40
x=13 fg=40 gh=24
Point H is in the interior of ∠EFG. Find the m∠EFH if m∠HFG=63 and m∠EFG=127. (Hint: easier than you may think. Draw it on paper.)
190
64
126
127
If mABC=6x-3, mCBD=4x+2 and mABD=79, then find x and the mCBD.
x=8 MBC=34 mCBD=45
x=8 mABC=45 mCBD=34
x=7.8 mABC= 43.8 mCBD=33.2
x=7.8 mABC= 33.2 mCBD=43.8
The coordinates of point T are (0,3). The midpoint of ST is (5,−2). Find the coordinates of point S.
(7,-10)
(-7,10)
(10,-7)
(-10,7)
Find the midpoint of the line segment joining points A and B.
A(6,−5) ; B(4,1)
(5,-2)
(-5,2)
(-2,5)
(2,-5)
How far would you travel from Platform B to Platform C, if you were on a zipline? Remember: Formula is
d=(x2−x1)2+(y2−y1)2
(a)
Write a two-column proof of the Linear Pairs Theorem.
If ∠ABC and ∠CBD are a linear pair, then ∠ABC and ∠CBD are supplementary.
1-Given 2-addition theorem 3-linear pairs theorem
1-Given 2-Definition of supplementary angles 3-Linear Pairs Theorem
1-Given 2-Linear Pairs Theorem 3-Definition of supplementary angles
1-Given 2-linear pairs theorem 3- addition theorem
Jacy was asked to write the following statement as a conditional. Water freezes if it is below 0°C. She wrote, "If water freezes, then it is below 0°C." What error did she make? What is the correct conditional?
She reversed the hypothesis and the conclusion. The correct conditional is "if water is below 0°C, then it freezes."
She did not recognize that the given statement included "if" and was, therefore, already a conditional.
She reversed the hypothesis and the conclusion and did not negate them. The correct conditional is "If water is not below 0°C, then it does not freeze."
She did not negate the hypothesis and the conclusion. The correct conditional is "If water does not freeze, then it is not below 0°C."
Emma found a counterexample to a given conditional. What are the truth values of the hypothesis and the conclusion? Explain.
The condition must be (a) for Emma's counterexample.
Write the following statement in the "if-then" form.
A line segment measures 1 kilometer if the segment's measure is 1000 meters.
If the segment's measure is 1000 meters, then the line segment measures 1 kilometer.
If the line segment measures 1 kilometer, then the segment's measure is 1000 meters.
