Geometry Midterm Practice

Selam H
Quiz by , created over 5 years ago

MY FIRST QUIZ WITH PICTURES AND TIMER! Level 1-3 questions; Quarter 1 & 2 of Geometry.

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Selam H
Created by Selam H over 5 years ago
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Question 1

Question
LEVEL 3: In the figure, RZ and WT are transversal of line s and t. If m∠ RVT = 5x + 6, m∠ VWY = 8x + 7, and m∠ WYZ = 16x - 8, find x.
Answer
  • x=7
  • x=14
  • No Solution
  • x=5.5

Question 2

Question
LEVEL 2: Make a conjecture for based on this information: For points P, Q, and R, PQ = 9, QR = 15, and PR = 12.
Answer
  • Forms a (right) triangle with a perimeter of 47 units. (Pythagorean Triple)
  • Forms a (right) triangle with a perimeter of 36 units. (Pythagorean Triple)
  • Forms a line with a length of 36 units.
  • Forms a line with a length of 47 units.

Question 3

Question
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. a) It rains this Sunday, and we have a picnic.
Answer
  • True
  • False

Question 4

Question
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. b) It rains on Sunday and we will not have a picnic.
Answer
  • True
  • False

Question 5

Question
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic. c) It doesn't rain this Sunday, and we have a picnic.
Answer
  • True
  • False

Question 6

Question
LEVEL 1: Determine the truth value of the following statement for each set of conditions... If it does not rain this Sunday, then we will have a picnic.d) It doesn't rain this Sunday, and we don't have a picnic.
Answer
  • True
  • False

Question 7

Question
LEVEL 1: Fill in the blanks of the truth table.
Answer
  • T,T,T,T,T,T,T,T
  • F,F,F,F,F,F,F,F
  • T,F,T,F,T,F,T,F
  • T,T,F,F,T,T,F,F

Question 8

Question
LEVEL 2: Decide what type of relationship the lines with the given equations have: \[y=\frac{1}{2}x+3\] \[y=\frac{1}{2}x-3\]
Answer
  • perpendicular
  • parallel
  • neither

Question 9

Question
LEVEL 2: \[GK bisects ∠FGH.\] If m∠FGH = 3v - 4 and m∠kgh = 2v+7, find v.
Answer
  • 33
  • 58
  • 29
  • 11

Question 10

Question
LEVEL 2: What are the steps for the following Triangle Proof? Given: WY ≅ XV, VW ┴ WX, YX ┴ WX ... Prove: ΔXWV ≅ ΔWXY
Answer
  • \[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.) Given \[2.) ∠VWX ≅ ∠YXZ\] 2.) Definition of Perpendicular Lines \[3.) ∠VWX and ∠YXZ = right angles\] 3.) Right Angle Congruency\[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) SAS congruency
  • \[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.) Given \[2.) ∠VWX ≅ ∠YXZ\] 2.) Right Angle Congruency \[3.) ∠VWX and ∠YXZ = right angles\] 3.) Definition of Perpendicular Lines \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) SAS congruency
  • \[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.)Given \[2.) ∠VWX and ∠YXZ = right angles\] 2.) Definition of Perpendicular Lines \[3.) ∠VWX ≅ ∠YXZ\] 3.) Right Angle Congruency \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) Hypotenuse Leg congruency
  • \[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 1.)Given \[2.) ∠VWX and ∠YXZ\] are right angles 2.) Right Angle Congruency \[3.) ∠VWX ≅ ∠YXZ\] 3.) Definition of Perpendicular Lines \[4.) WX ≅ WX\] 4.) Reflexive Property \[5.) ΔXWY ≅ ΔWXY\] 5.) AAS congruency

Question 11

Question
LEVEL 1: Name all the planes intersecting plane CDI.
Answer
  • \[ABC, CBG, ADI, FGH\]
  • \[CBA, DAF, HGF\]
  • \[BAD, GFI, CBG, GFA\]
  • \[DAB, CBG, FAD\]

Question 12

Question
LEVEL 1: Name all the segments parallel to GF.
Answer
  • \[BC, AD, HI\]
  • \[AB, CD\]
  • \[AB, HI\]
  • \[AB, CD, HI\]

Question 13

Question
LEVEL 2: Conjecture: Adjacent angles are supplementary. (show counterexample)
Answer

Question 14

Question
LEVEL 2: If m∠4 = 78°, and m∠6 = 78°, state weather these two lines are parallel or not. Why or why not?
Answer
  • parallel; (m∠2) 78°≅ (m∠6) 78°
  • not parallel; (m∠2) 78° + (m∠6) 78° ≠ 180
  • parallel; (m∠2) 78° + (m∠6) 78° = 156°
  • not parallel; (m∠2) 78° + (m∠6) 78° ≠ 156°

Question 15

Question
LEVEL 1:What type of angle pair is ∠4 and ∠6?
Answer
  • alternate interior
  • alternate exterior
  • consecutive interior
  • corresponding
  • no angle pair

Question 16

Question
LEVEL 2:What are the 6th and 7th step of this Isosceles Triangle Proof? Given: X is the midpoint of VW and VW ┴ UX ... Prove:∠V≅∠W.
Answer
  • 6.) = ASA congruency ... 7.) =CPCTC
  • 6.) = SSS congruency ... 7.) =CPCTC
  • 6.) = CPCTC ... 7.) =SAS congruency
  • 6.) = SAS congruency ... 7.) =CPCTC

Question 17

Question
LEVEL 2:What are the 3rd and 4th steps of this Isosceles Triangle Proof? Given: K is the midpoint of IJ, HJ ≅ HI
Answer
  • 3rd = ΔHKI ≅ ΔHKJ (SSS concurrency), 4th = HI ≅ HJ (CPCTC)
  • 3rd = IK ≅ KJ (Definition of midpoint), 4th = HI ≅ HJ (CPCTC)
  • 3rd = HK ≅ HK (Reflexive Property), 4th = HI ≅ HJ (CPCTC)
  • 3rd = IK ≅ KJ (Definition of midpoint), 4th = HK ≅ HK (Reflexive Property)

Question 18

Question
LEVEL 2:In the figure, line AB || CD. Find x and y. (HINT: Quadrilaterals have a angle sum of 360°. )
Answer
  • x = 32, y = 140
  • x = 140, y = 52
  • x = 52, y = 140
  • x = 38, y = 154

Question 19

Question
LEVEL 1:A line segment has the endpoints V(0, -5) and W(-2, 5). Find the coordinates of its midpoint.
Answer
  • M = (1, 2.5)
  • M = (2.5, 1)
  • M = (0, -1)
  • M = (-1, 0)

Question 20

Question
LEVEL 2:As shown in the figure below, ∆ABC is isosceles with the length of AB equal to the length of AC. The measure of ∠A is 40° and points B, C, and D are collinear. What is the measure of ∠ACD ?
Answer
  • 70°
  • 80°
  • 110°
  • 140°
  • 160°

Question 21

Question
LEVEL 1: What is the length, in units of AC ?
Answer
  • 5
  • 3√5
  • 3+√5
  • 3√3
  • 3√6

Question 22

Question
LEVEL 1: In the figure below, line m is parallel to line n, and line t is a transversal crossing both m and n. Which of the following lists has 3 angles that are all equal in measure?
Answer
  • ∠a, ∠b, ∠d
  • ∠a, ∠c, ∠d
  • ∠a, ∠c, ∠e
  • ∠b, ∠c, ∠d
  • ∠b, ∠c, ∠e

Question 23

Question
LEVEL 3: Find the distance between these parallel lines. \[y=2x+7\] \[y=2x-3\]
Answer
  • 5√3 units
  • 5√2 units
  • 3√5 units
  • 2√5 units

Question 24

Question
LEVEL 1: Determine whether PQ and UV are parallel, perpendicular, and neither. *Find the slope and compare* ... P(0,3), Q(2,4), U(2,1), V(8,4)
Answer
  • parallel
  • perpendicular
  • neither

Question 25

Question
LEVEL 1: Graph the line that satisfies the given condition: Slope = 2 and passes through (-1,3)

Question 26

Question
LEVEL 2: What are the 4th and 5th steps in this proof? Given: HI ≅ TU, IJ ≅ UV .... Proove: HJ ≅ TV
Answer
  • 4.) = ST + LN = LN + NR (Segment Addition), 5.) = ST + LN [-LN] = LN [-LN] + NR (Subtraction)
  • 4.) = ST + TU = LN + NR (Segment Addition), 5.) = ST = LN (Substitution)
  • 4.) = ST + TU = LN + NR (Substitution), 5.) = ST + LN = LN + NR (Substitution)
  • 4.) = ST + TU = LN + NR (Substitution), 5.) ST + TU = SU, LN + NR = LR (Segment Addition)

Question 27

Question
LEVEL 3: Sara places a ladder on level ground against a vertical wall. When the base of the ladder is 20 feet from the wall, the ladder reaches a height of 15 feet along the wall. Sara then moves the base 7 feet closer to the wall. To the nearest foot, how high up the wall does the ladder reach now. (*HINT:* It would be best to draw a picture of this problem.)
Answer
  • 19 feet
  • 21 feet
  • 22 feet
  • 24 feet

Question 28

Question
LEVEL 2: Given: ΔABC ≅ ΔDBC ; 2m∠CBD = m∠ABD ... Which best describes Δ ABD?
Answer
  • Isosceles
  • Right
  • Scalene
  • Equilateral

Question 29

Question
LEVEL 1: Find the percision for this measurement ... 60.3 km
Answer
  • 60.8 km - 59.8 km
  • 60.25 km - 60.35 km
  • 60.4 km - 60.5 km
  • 61.3 km - 59.3 km

Question 30

Question
LEVEL 1: Find the percision for this measurement ... 76 ft
Answer
  • 75.5 ft - 75.6 ft
  • 75.5 ft - 76.5 ft
  • 75 ft - 77 ft
  • 75.95 ft - 76.05 ft

Question 31

Question
LEVEL 1: If Johnny plots 275 points on a grid, how many lines can he make out of these points?
Answer
  • 137 lines
  • 274 lines
  • 138 lines
  • 550 lines

Question 32

Question
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Answer
  • Congruent Angles
  • Supplementary Angles
  • Complementary Angles
  • Vertical Angles

Question 33

Question
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Answer
  • Congruent Angles
  • Supplementary Angles
  • Complementary Angles
  • Vertical Angles

Question 34

Question
LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _________ are always __________.
Answer
  • Congruent Angles
  • Supplementary Angles
  • Complementary Angles
  • Vertical Angles

Question 35

Question
LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]
Answer
  • Q = (1,3.5)
  • Q = (3.5,1)
  • Q = (3,2)
  • Q = (2,3)

Question 36

Question
LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]
Answer
  • Q = (1,3.5)
  • Q = (3.5,1)
  • Q = (3,2)
  • Q = (2,3)

Question 37

Question
LEVEL 1: Find the midpoint ... \[J(4,6) ; L(10,2)\]
Answer
  • K = (7,4)
  • K = (4,7)
  • K = (5,6)
  • K = (6,5)

Question 38

Question
LEVEL 2: Find the measure of each side of ΔABC with vertices \[A(1,5), B(6,1), and C(2,-6)\] Classify the triangle by it's sides.
Answer
  • Isosceles
  • Equilateral
  • Scalene
  • Acute