Geometry Midterm Practice

Question 1 of 38

3

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.

Select one of the following:

x=7
x=14
No Solution
x=5.5

Explanation

Question 2 of 38

2

LEVEL 2: Make a conjecture for based on this information: For points P, Q, and R, PQ = 9, QR = 15, and PR = 12.

Select one of the following:

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.

Explanation

Question 3 of 38

1

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.

Select one of the following:

True
False

Explanation

Question 4 of 38

1

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.

Select one of the following:

True
False

Explanation

Question 5 of 38

1

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.

Select one of the following:

True
False

Explanation

Question 6 of 38

1

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.

Select one of the following:

True
False

Explanation

Question 7 of 38

1

LEVEL 1: Fill in the blanks of the truth table.

Select one of the following:

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

Explanation

Question 8 of 38

2

LEVEL 2: Decide what type of relationship the lines with the given equations have: \[y=\frac{1}{2}x+3\] \[y=\frac{1}{2}x-3\]

Select one of the following:

perpendicular
parallel
neither

Explanation

Question 9 of 38

2

LEVEL 2: \[GK bisects ∠FGH.\] If m∠FGH = 3v - 4 and m∠kgh = 2v+7, find v.

Select one of the following:

33
58
29
11

Explanation

Question 10 of 38

2

LEVEL 2: What are the steps for the following Triangle Proof? Given: WY ≅ XV, VW ┴ WX, YX ┴ WX ... Prove: ΔXWV ≅ ΔWXY

Select one of the following:

\[1.) WY ≅ XV , VW ┴ WX , YX ┴ WX\] 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

Explanation

Question 11 of 38

1

LEVEL 1: Name all the planes intersecting plane CDI.

Select one of the following:

\[ABC, CBG, ADI, FGH\]
\[CBA, DAF, HGF\]
\[BAD, GFI, CBG, GFA\]
\[DAB, CBG, FAD\]

Explanation

Question 12 of 38

1

LEVEL 1: Name all the segments parallel to GF.

Select one of the following:

\[BC, AD, HI\]
\[AB, CD\]
\[AB, HI\]
\[AB, CD, HI\]

Explanation

Question 13 of 38

2

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

Select one of the following:

Invalid
Valid

Explanation

Question 14 of 38

2

LEVEL 2: If m∠4 = 78°, and m∠6 = 78°, state weather these two lines are parallel or not. Why or why not?

Select one of the following:

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°

Explanation

Question 15 of 38

1

LEVEL 1:What type of angle pair is ∠4 and ∠6?

Select one of the following:

alternate interior
alternate exterior
consecutive interior
corresponding
no angle pair

Explanation

Question 16 of 38

2

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.

Select one of the following:

6.) = ASA congruency ... 7.) =CPCTC
6.) = SSS congruency ... 7.) =CPCTC
6.) = CPCTC ... 7.) =SAS congruency
6.) = SAS congruency ... 7.) =CPCTC

Explanation

Question 17 of 38

2

LEVEL 2:What are the 3rd and 4th steps of this Isosceles Triangle Proof? Given: K is the midpoint of IJ, HJ ≅ HI

Select one of the following:

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)

Explanation

Question 18 of 38

2

LEVEL 2:In the figure, line AB || CD. Find x and y. (HINT: Quadrilaterals have a angle sum of 360°. )

Select one of the following:

x = 32, y = 140
x = 140, y = 52
x = 52, y = 140
x = 38, y = 154

Explanation

Question 19 of 38

1

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

Select one of the following:

M = (1, 2.5)
M = (2.5, 1)
M = (0, -1)
M = (-1, 0)

Explanation

Question 20 of 38

2

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 ?

Select one of the following:

70°
80°
110°
140°
160°

Explanation

Question 21 of 38

1

LEVEL 1: What is the length, in units of AC ?

Select one of the following:

5
3√5
3+√5
3√3
3√6

Explanation

Question 22 of 38

1

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?

Select one of the following:

∠a, ∠b, ∠d
∠a, ∠c, ∠d
∠a, ∠c, ∠e
∠b, ∠c, ∠d
∠b, ∠c, ∠e

Explanation

Question 23 of 38

3

LEVEL 3: Find the distance between these parallel lines. \[y=2x+7\] \[y=2x-3\]

Select one of the following:

5√3 units
5√2 units
3√5 units
2√5 units

Explanation

Question 24 of 38

1

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)

Select one of the following:

parallel
perpendicular
neither

Explanation

Question 25 of 38

1

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

Select one of the following:

Explanation

Question 26 of 38

2

LEVEL 2: What are the 4th and 5th steps in this proof? Given: HI ≅ TU, IJ ≅ UV .... Proove: HJ ≅ TV

Select one of the following:

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)

Explanation

Question 27 of 38

1

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.)

Select one of the following:

19 feet
21 feet
22 feet
24 feet

Explanation

Question 28 of 38

1

LEVEL 2: Given: ΔABC ≅ ΔDBC ; 2m∠CBD = m∠ABD ... Which best describes Δ ABD?

Select one of the following:

Isosceles
Right
Scalene
Equilateral

Explanation

Question 29 of 38

1

LEVEL 1: Find the percision for this measurement ... 60.3 km

Select one of the following:

60.8 km - 59.8 km
60.25 km - 60.35 km
60.4 km - 60.5 km
61.3 km - 59.3 km

Explanation

Question 30 of 38

1

LEVEL 1: Find the percision for this measurement ... 76 ft

Select one of the following:

75.5 ft - 75.6 ft
75.5 ft - 76.5 ft
75 ft - 77 ft
75.95 ft - 76.05 ft

Explanation

Question 31 of 38

1

LEVEL 1: If Johnny plots 275 points on a grid, how many lines can he make out of these points?

Select one of the following:

137 lines
274 lines
138 lines
550 lines

Explanation

Question 32 of 38

1

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.

Select one or more of the following:

Congruent Angles
Supplementary Angles
Complementary Angles
Vertical Angles

Explanation

Question 33 of 38

1

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.

Select one or more of the following:

Congruent Angles
Supplementary Angles
Complementary Angles
Vertical Angles

Explanation

Question 34 of 38

1

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.

Select one or more of the following:

Congruent Angles
Supplementary Angles
Complementary Angles
Vertical Angles

Explanation

Question 35 of 38

1

LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]

Select one or more of the following:

Q = (1,3.5)
Q = (3.5,1)
Q = (3,2)
Q = (2,3)

Explanation

Question 36 of 38

1

LEVEL 1: Find the missing endpoint if R is the midpoint of QS ... \[R(2,0) ; S(5,2)\]

Select one or more of the following:

Q = (1,3.5)
Q = (3.5,1)
Q = (3,2)
Q = (2,3)

Explanation

Question 37 of 38

1

LEVEL 1: Find the midpoint ... \[J(4,6) ; L(10,2)\]

Select one or more of the following:

K = (7,4)
K = (4,7)
K = (5,6)
K = (6,5)

Explanation

Question 38 of 38

2

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.

Select one or more of the following:

Isosceles
Equilateral
Scalene
Acute

	Created by Selam H over 10 years ago

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

Geometry Midterm Practice

Geometry Midterm Practice

Question 1 of 38

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.

Select one of the following:

Explanation

Question 2 of 38

LEVEL 2: Make a conjecture for based on this information: For points P, Q, and R, PQ = 9, QR = 15, and PR = 12.

Select one of the following:

Explanation

Question 3 of 38

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.

Select one of the following:

Explanation

Question 4 of 38

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.

Select one of the following:

Explanation

Question 5 of 38

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.

Select one of the following:

Explanation

Question 6 of 38

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.

Select one of the following:

Explanation

Question 7 of 38

LEVEL 1: Fill in the blanks of the truth table.

Select one of the following:

Explanation

Question 8 of 38

LEVEL 2: Decide what type of relationship the lines with the given equations have: \[y=\frac{1}{2}x+3\] \[y=\frac{1}{2}x-3\]

Select one of the following:

Explanation

Question 9 of 38

LEVEL 2: \[GK bisects ∠FGH.\] If m∠FGH = 3v - 4 and m∠kgh = 2v+7, find v.

Select one of the following:

Explanation

Question 10 of 38

LEVEL 2: What are the steps for the following Triangle Proof? Given: WY ≅ XV, VW ┴ WX, YX ┴ WX ... Prove: ΔXWV ≅ ΔWXY

Select one of the following:

Explanation

Question 11 of 38

LEVEL 1: Name all the planes intersecting plane CDI.

Select one of the following:

Explanation

Question 12 of 38

LEVEL 1: Name all the segments parallel to GF.

Select one of the following:

Explanation

Question 13 of 38

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

Select one of the following:

Explanation

Question 14 of 38

LEVEL 2: If m∠4 = 78°, and m∠6 = 78°, state weather these two lines are parallel or not. Why or why not?

Select one of the following:

Explanation

Question 15 of 38

LEVEL 1:What type of angle pair is ∠4 and ∠6?

Select one of the following:

Explanation

Question 16 of 38

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.

Select one of the following:

Explanation

Question 17 of 38

LEVEL 2:What are the 3rd and 4th steps of this Isosceles Triangle Proof? Given: K is the midpoint of IJ, HJ ≅ HI

Select one of the following:

Explanation

Question 18 of 38

LEVEL 2:In the figure, line AB || CD. Find x and y. (HINT: Quadrilaterals have a angle sum of 360°. )

Select one of the following:

Explanation

Question 19 of 38

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

Select one of the following:

Explanation

Question 20 of 38

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)

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.

LEVEL 1: Select 2 of the following terms to complete the following sentence: Angles that are _ are always __.