WorksheetsGeo - Sem 1 Cumulative Review
Total questions: 63
Worksheet time: 1hrs 3mins
(1.Measurement) The notation for the length of the segment between P and Q is _____.
(1.Measurement) R, S, and T are collinear. S is between R and T. RS = 2w + 1, ST = w − 1, and RT = 18. Use the Segment Addition Postulate to solve for w. Then determine the length of RS.
RS = 16
RS = 5
RS = 13
RS = 6
(1.Measurement) m∠ECD = (2x + 8)°, m∠BCD = (6x − 7)°, and m∠ECB = 65°. Find m∠ECD and m∠BCD.
m∠ECD = 24°, m∠BCD = 41°
m∠ECD = 30°, m∠BCD = 35°
m∠ECD = 41°, m∠BCD = 24°
m∠ECD = 35°, m∠BCD = 30°
(1.Measurement) Select the proper notation for the drawing.
(1.Measurement) Select the proper symbol for the drawing.
(1.Measurement) Select the proper symbol for the drawing.
(1.Measurement) Select the proper symbol for the drawing.
(1.Measurement) Select the proper symbol for the drawing.
(1.AnglePairs) ∠1 and ∠3 are complementary angles. ∠2 and ∠3 are vertical angles. If m∠2 = 62°, what is m∠1?
18°
62°
118°
28°
(1.AnglePairs) If RA bisects ∠FRN, then which of the following is also true?
∠FRN is obtuse
∠FRA ≅ ∠NRA
∠ARF ≅ ∠FRN
∠RNF is also bisected
(1.Measurement) For the cube shown, AD and FG are _____.
parallel lines
intersecting lines
skew lines
perpendicular lines
(1.AnglePairs) Name an angle adjacent to ∠EOD.
∠BOE
∠COB
∠BOA
∠ODC
(1.AnglePairs) In the figure shown, m∠AED = 124°. Which of the following statements is false?
∠BEC and ∠CED are adjacent angles
∠AEB and ∠DEC are supplementary
m∠AEB = 56°
m∠BEC = 124°
(1.AnglePairs) Solve for x.
3
6
1
2
(1.AnglePairs) Justify the reason for setting up your equation in the previous problem.
Linear Pair Post. (Linear pair → supp.)
Definition Congruent (≅ ↔ = measures)
Definition ∠ Bis. (∠ bis ↔ 2 ≅ ∠s)
Def. of Complementary (comp. ↔ sum 90)
(1.AnglePairs) Solve for x.
100
60
240
120
(1.AnglePairs) Justify the reason for setting up your equation in the previous problem.
Linear Pair Post. (Linear pair → supp.)
Definition Congruent (≅ ↔ = measures)
Def. Supplementary (supp. ↔ sum 180)
Vertical Angle Theorem (vert. ∠ ↔ ≅)
(2. Logic & Proofs) The pattern indicated in the picture is continued. What would be the total number of boxes in the 5th stage of the pattern?
22
24
25
26
(2. Logic & Proofs) “If I study for the exam, then I will pass the class.” In this conditional statement, the underlined portion is the _____.
the hypothesis
the converse
the counterexample
the conclusion
(2. Logic & Proofs) Given the statement “Coplanar points lie in the same plane.” Identify each as conditional, converse, or biconditional. I) If points lie in the same plane, then they are coplanar. II) If points are coplanar, then they lie in the same plane. III) Points are coplanar if and only if they lie in the same plane.
Conditional I; Converse II; Biconditional III
Conditional II; Converse I; Biconditional III
Conditional III; Converse I; Biconditional II
Conditional II; Converse II; Biconditional I
(2. Logic & Proofs) Which of these is an example of the Symmetric Property.
∠K ≅ ∠K
If ∠K ≅ ∠C, then ∠C ≅ ∠K
If ∠K ≅ ∠C and ∠C ≅ ∠B then ∠K ≅ ∠B
m∠K + m∠C = 180
(2. Logic & Proofs) Which of the following is an example of the Addition Property?
If 8 = x − 4, then x = 12
If x = 3 and AB = 5x, then AB = 15
If 8 = x + 4, then x = 4
If 15 = 5x, then x = 3
(2. Logic & Proofs) - What is the statement that should go in the second row of this proof?
XY = YZ
XY + YZ = XZ
8m + 5 = 6m + 17
8m + 5 + 6m + 17 = 53
(2. Logic & Proofs) What is the reasoning in the 4th row of the proof?
Addition Property
Division Property
Subtraction Property
Multiplication Property
(2. Logic & Proofs) What is the reasoning in the 8th row?
Distributive Property
Combine Like Terms
Multiplication PoE
Substitution
(3. TransversalPairs) In the figure, ∠1 and ∠2 are _______.
alternate exterior ∠’s
alternate interior ∠’s
same side interior ∠’s
corresponding ∠’s
(3. TransversalPairs) Find m∠1 in the figure below. Given that PQ and RS are parallel.
105°
75°
115°
15°
(3. TransversalPairs) Line m is parallel to line n and they are each intersected by the same two transversals. Which angle is NOT necessarily congruent to ∠9?
∠14
∠6
∠11
∠1
(3. TransversalPairs) In the figure, l || n and r is a transversal. Which of the following is NOT necessarily true?
m∠3 + m∠6 = 180
∠8 ≅ ∠4
∠2 ≅ ∠7
∠1 ≅ ∠5
(3. TransversalProofs) Given: x||y and a||b. Prove: ∠6 ≅ ∠12.
4) ∠6 ≅ ∠12 4) Transitive Property
4) ∠6 ≅ ∠12 4) || ↔ Alt. Ext. ∠’s ≅
4) x||y 4) Transitive Property
4) a||b 4) || ↔ Alt. Ext. ∠’s ≅
(3.TransversalProofs) Given: a || b and ∠1 ≅ ∠15. Prove: x || y.
4) x ∥ y 4) Transitive Property
4) x ∥ y 4) ∥ ↔ Alt. Ext. ∠’s ≅
4) ∠9 ≅ ∠15 4) ∥ ↔ Alt. Ext. ∠’s ≅
4) ∠9 ≅ ∠15 4) ∥ ↔ Corresponding ∠’s ≅
(4.TriProofs) If △JKL ≅ △STU, which statement is NOT true?
KL ≅ TU
JK ≅ SU
∠K ≅ ∠T
∠J ≅ ∠S
(4.TriProofs) Given TV ≅ WV and UV ≅ XV. Which of the following statements is true?
△TUV ≅ △WXV by SAS
△TUV ≅ △WXV by ASA
△TUV ≅ △VWX by SAS
△TUV ≅ △WXV by SSS
(4.TriProofs) Given: ∠B ≅ ∠E and ∠C ≅ ∠F. What other piece of information is needed to show △ABC ≅ △DEF by AAS Congruence Postulate?
AB ≅ DE
BC ≅ EF
∠A ≅ ∠D
∠B ≅ ∠F
(4.TriProofs) Which triangle congruence theorem would be used to prove the triangles are congruent?
SAS
ASA
HL
AAS
(4.TriProofs) Given: MN ≅ ON and LN bisects ∠MNO. Prove: △LMN ≅ △LON. What goes in step 2?
2) ∠N ≅ ∠N 2) Def of ∠ Bisector
2) ∠MNL ≅ ∠ONL 2) Def of ∠ Bisector
2) ML ≅ OL 2) Def of ∠ Bisector
2) ML ≅ OL 2) SSS
(4.TriProofs) In the proof which congruence theorem completes step 4?
SAS
ASA
SSS
AAS
(4.TriProofs) Given: ∠G ≅ ∠I. J is the midpoint of FH. Prove: △GJF ≅ △IJH. Which entry correctly completes step 2 of the proof table?
2) ∠F ≅ ∠H 2) Def of Midpoint
2) FJ ≅ JH 2) Def of Seg Bisector
2) FJ ≅ JH 2) Def of Midpoint
2) ∠J ≅ ∠J 2) Def of Ang Bisector
(4.TriProofs) In the proof which congruence theorem completes step 4?
SAS
ASA
SSS
AAS
(5.TriProofs) Two sides of a triangle have lengths 7 and 13. The third side has a length that is ________.
Greater than 6 and less than 13
Less than 20 and greater than 6
Greater than 20
Less than 6
(5.TriSeg) What is the measure of ∠TWX?
44°
84°
22°
42°
(5.TriProp) Which of these sets of lengths could be the sides of a triangle?
8 cm, 10 cm, 17 cm
13 cm, 7 cm, 21 cm
4 cm, 15 cm, 21 cm
7 cm, 6 cm, 13 cm
(5.TriSeg) Solve for x given BD = 3x − 6 and AE = 7x − 17. BD is a midsegment in △ACE.
−1/5
5
14
−14
(5.TriSeg) The altitudes of a triangle are concurrent. Their common point is the _______.
Circumcenter
Incenter
Centroid
Orthocenter
(5.TriSeg) The perpendicular bisectors of a triangle are concurrent. Their common point is the _______.
Circumcenter
Incenter
Centroid
Orthocenter
(5.TriSeg) The Incenter of a triangle is equidistant to the ________ of a triangle.
Vertices
Angles
Angle Bisectors
Sides
(5.TriSeg) The altitude in the picture is ______.
LN
MJ
HI
KO
(5.TriSeg) A perpendicular bisector in the picture is ______.
LN
MJ
HI
KO
(5.TriSeg) In △RST point A is the centroid. If SA = 9, find UA.
18
4.5
13.5
12
(5.TriProp) Find the value of x using the triangle shown.
124
56
63
119
(5.TriProp) Find the value of x.
128
104
52
142
(5.TriProp) Find the values of x and y.
x = 72°, y = 108°
x = 72°, y = 52°
x = 36°, y = 108°
x = 36°, y = 72°
(5.TriProp) Classify the triangle.
Equilateral
Isosceles
Right
None of these
(6.QuadProp) Which of the following is NOT necessarily a quality of a regular polygon.
opposite sides ∥
Exterior ∠ sum = 360
equilateral
equiangular
(6.QuadProp) The sum of the interior angle measure in a regular hexagon is.
360
540
720
1080
(6.QuadProp) Find the value of x in this hexagon.
92
122
62
118
(6.QuadProp) Choose the statement that is NOT ALWAYS true. For a rectangle __________.
Both pairs opp. sides are congruent
All four angles are congruent
The diagonals are congruent
The opposite sides are congruent
(6.QuadProp) Complete the following sentence: A square is never a __________.
rhombus
rectangle
kite
quadrilateral
(6.QuadProp) Find the length of the midsegment in the trapezoid.
7
8.5
17
9
(6.QuadProp) Given the measure of the shaded angle is 42°, find the measure of ∠1.
42°
48°
24°
90°
(6.QuadProp) Find the value of x in this trapezoid.
35
145
70
110
(6.QuadProofs) Identify the quadrilateral by its most exact name using the diagram.
trapezoid
parallelogram
rhombus
kite
(6.QuadProofs) Identify the quadrilateral by its most exact name using the diagram.
trapezoid
parallelogram
rhombus
square
