# Geometry Midterm Practice

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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 Created by Selam H over 5 years ago
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MODE, MEDIAN, MEAN, AND RANGE
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Physics 2
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Pythagorean Theorem Quiz
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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.
• 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.
• 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.
• 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.
• 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.
• 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.
• True
• False

### Question 7

Question
LEVEL 1: Fill in the blanks of the truth table.
• 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: $y=\frac{1}{2}x+3$ $y=\frac{1}{2}x-3$
• perpendicular
• parallel
• neither

### Question 9

Question
LEVEL 2: $GK bisects ∠FGH.$ If m∠FGH = 3v - 4 and m∠kgh = 2v+7, find v.
• 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
• $1.) WY ≅ XV , VW ┴ WX , YX ┴ WX$ 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.
• $ABC, CBG, ADI, FGH$
• $CBA, DAF, HGF$
• $BAD, GFI, CBG, GFA$
• $DAB, CBG, FAD$

### Question 12

Question
LEVEL 1: Name all the segments parallel to GF.
• $BC, AD, HI$
• $AB, CD$
• $AB, HI$
• $AB, CD, HI$

### Question 13

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

### 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?
• 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?
• 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.
• 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
• 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°. )
• 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.
• 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 ?
• 70°
• 80°
• 110°
• 140°
• 160°

### Question 21

Question
LEVEL 1: What is the length, in units of AC ?
• 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?
• ∠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. $y=2x+7$ $y=2x-3$
• 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)
• 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
• 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.)
• 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?
• Isosceles
• Right
• Scalene
• Equilateral

### Question 29

Question
LEVEL 1: Find the percision for this measurement ... 60.3 km
• 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
• 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?
• 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 __________.
• 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 __________.
• 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 __________.
• Congruent Angles
• Supplementary Angles
• Complementary Angles
• Vertical Angles

### Question 35

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

### Question 37

Question
LEVEL 1: Find the midpoint ... $J(4,6) ; L(10,2)$
• 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.