Title: (Canvas-Quiz)G06_Quadrilaterals Other Polygons
Course: HBUHSD Geometry Resource Course > Section: Unit 3: Congruence of Triangles and Parallelograms

Q: Find the sum of the measures of the angles of the figure.
- 1260
- 900
- 540
- 720
A: 540

Q: What is the sum of the angle measures of a 35-gon?
- 5940
- 6660
- 6120
- 6300
A: 5940

Q: The sum of the angle measures of a polygon with s sides is 2340. Find s.
- 13
- 14
- 17
- 15
A: 15

Q: The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
A: (a choice with no text)

Q: Complete this statement: A polygon with all sides the same length is said to be ____.
- regular
- equilateral
- equiangular
- convex
A: equilateral

Q: What is the measure of one angle in a regular 30-gon?
- 192
- 84
- 168
- 5040
A: 168

Q: A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth.
- 252
- 540
- 54
- 108
A: 108

Q: Find the missing values of the variables. The diagram is not to scale.
- x = 74, y = 103
- x = 74, y = 93
- x = 93, y = 74
- x = 103, y = 119
A: x = 93, y = 74

Q: Find the value of x. The diagram is not to scale.
- 90
- 45
- 35
- 145
A: 45

Q: Find . The diagram is not to scale.
- 107
- 117
- 63
- 73
A: 73

Q: The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle?
- 96
- 84
- 106
- 86
A: 96

Q: How many sides does a regular polygon have if each exterior angle measures 30?
- 15 sides
- 12 sides
- 14 sides
- 11 sides
A: 12 sides

Q: Complete this statement: The sum of the measures of the exterior angles of an n-gon, one
at each vertex, is ____.
- (n – 2)180
- 360
- 180n
A: 360

Q: This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked.
- 54°
- 36°
- 18°
- 72°
A: 72°

Q: Use less than, equal to, or greater than to complete this statement: The measure of each exterior angle of a regular 10-gon is ____ the measure of each exterior angle of a regular 6-gon.
- cannot tell
- less than
- greater than
- equal to
A: less than

Q: Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 6-gon, one at each vertex.
- cannot tell
- less than
- greater than
- equal to
A: equal to

Q: A nonregular hexagon has five exterior angle measures of 55, 58, 69, 57, and 55. What is the measure of the interior angle adjacent to the sixth exterior angle?
- 104
- 66
- 114
- 124
A: 114

Q: Find the values of the variables in the parallelogram. The diagram is not to scale.
A: (a choice with no text)

Q: In the parallelogram, and Find The diagram is not to scale.
- 110
- 120
- 78
- 60
A: 120

Q: In the parallelogram, and Find The diagram is not to scale.
- 84
- 116
- 32
- 64
A: 64

Q: ABCD is a parallelogram. If then The diagram is not to scale.
- 57
- 114
- 133
- 123
A: 123

Q: For the parallelogram, if and find The diagram is not to scale.
- 9
- 16
- 164
- 174
A: 164

Q: ABCD is a parallelogram. If then The diagram is not to scale.
- 117
- 127
- 78
- 63
A: 63

Q: What is the missing reason in the proof?
Given: with diagonal
Prove:

Statements | Reasons
1. | 1. Definition of parallelogram
2. | 2. Alternate Interior Angles Theorem
3. | 3. Definition of parallelogram
4. | 4. Alternate Interior Angles Theorem
5. | 5. ?
6. | 6. ASA
- Reflexive Property of Congruence
- Alternate Interior Angles Theorem
- ASA
- Definition of parallelogram
A: Reflexive Property of Congruence

Q: WXYZ is a parallelogram. Name an angle congruent to
A: (a choice with no text)

Q: In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scale.
- x = 8, y = 5
- x = 5, y = 8
- x = 4, y = 6
- x = 6, y = 4
A: x = 6, y = 4

Q: Find AM in the parallelogram if PN =15 and AO = 6. The diagram is not to scale.
- 12
- 6
- 15
- 7.5
A: 6

Q: LMNO is a parallelogram. If NM = x + 5 and OL = 2x + 3, find the value of x and then find NM and OL.
- x = 4, NM = 9, OL = 9
- x = 2, NM = 7, OL = 7
- x = 2, NM = 9, OL = 7
- x = 4, NM = 7, OL = 9
A: x = 2, NM = 7, OL = 7

Q: In the figure, the horizontal lines are parallel and Find JM. The diagram is not to scale.
- 27
- 36
- 9
- 18
A: 27

Q: In the figure, the horizontal lines are parallel and Find KL and FG. The diagram is not to scale.
- KL = 8.7, FG = 8.7
- KL = 8.7, FG = 8.6
- KL = 8.6, FG = 8.6
A: KL = 8.7, FG = 8.6

Q: If find so that quadrilateral ABCD is a parallelogram. The diagram is not to scale.
- 46
- 92
- 134
- 268
A: 134

Q: Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
- x = 8, y = 6
- x = 6, y = 8
- x = 8, y = 17
- x = 8, y = 10
A: x = 8, y = 6

Q: If and find the values of x and y for which LMNO must be a parallelogram. The diagram is not to scale.
- x = 4, y =
- x = 11, y =
- x = 4, y =
- x = 11, y =
A: x = 11, y =

Q: Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
- Yes; the diagonals bisect each other.
- No; you cannot prove that the quadrilateral is a parallelogram.
- Yes; two opposite sides are both parallel and congruent.
- Yes; the diagonals are congruent.
A: Yes; the diagonals bisect each other.

Q: Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
A: (a choice with no text)

Q: Based on the information given, can you determine that the quadrilateral must be a parallelogram? Explain.

Given: and
- Yes; opposite sides are congruent.
- Yes; two opposite sides are both parallel and congruent.
- Yes; diagonals of a parallelogram bisect each other.
- No; you cannot determine that the quadrilateral is a parallelogram.
A: Yes; diagonals of a parallelogram bisect each other.

Q: Which description does NOT guarantee that a quadrilateral is a square?
- has all sides congruent and all angles congruent
- is a parallelogram with perpendicular diagonals
- has all right angles and has all sides congruent
- is both a rectangle and a rhombus
A: is a parallelogram with perpendicular diagonals

Q: What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 5), C(4, 5), and D(2, 2)?
- rectangle
- parallelogram
- quadrilateral
- rhombus
A: parallelogram

Q: Classify the figure in as many ways as possible.
- rectangle, square, quadrilateral, parallelogram, rhombus
- rectangle, square, parallelogram
- rhombus, quadrilateral, square
- square, rectangle, quadrilateral
A: rectangle, square, quadrilateral, parallelogram, rhombus

Q: Which statement is true?
- All squares are rectangles.
- All quadrilaterals are rectangles.
- All parallelograms are rectangles.
- All rectangles are squares.
A: All squares are rectangles.

Q: Which Venn diagram is NOT correct?
A: (a choice with no text)

Q: In the rhombus, Find the value of each variable. The diagram is not to scale.
- x = 12, y = 84, z = 6
- x = 12, y = 174, z = 3
- x = 6, y = 84, z = 3
- x = 6, y = 174, z = 6
A: x = 6, y = 84, z = 3

Q: In the rhombus, What are The diagram is not to scale.
A: (a choice with no text)

Q: Find the measure of the numbered angles in the rhombus. The diagram is not to scale.
A: (a choice with no text)

Q: DEFG is a rectangle. DF = 5x – 3 and EG = x + 5. Find the value of x and the length of each diagonal.
- x = 1, DF = 6, EG = 6
- x = 2, DF = 7, EG = 12
- x = 2, DF = 6, EG = 6
- x = 2, DF = 7, EG = 7
A: x = 2, DF = 7, EG = 7

Q: In rectangle KLMN, KM = and LN = 64. Find the value of x.
- 5
- 4
- 3
- 40
A: 4

Q: In rectangle PQRS, PR = 18x – 28 and QS = x + 380. Find the value of x and the length of each diagonal.
- x = 24, PR = 202, QS = 202
- x = 12, PR = 392, QS = 392
- x = 24, PR = 404, QS = 404
- x = 25, PR = 422, QS = 422
A: x = 24, PR = 404, QS = 404

Q: Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.
- Parallelogram ABCD is a rhombus, because the diagonal bisects two angles.
- Parallelogram ABCD is a rectangle, because the diagonal creates congruent angles.
- Parallelogram ABCD is a square, because all four angles have the same measure.
- There is not enough information.
A: Parallelogram ABCD is a rhombus, because the diagonal bisects two angles.

Q: In quadrilateral ABCD, and . For what value of x is ABCD a rhombus?
- 3
- 4
- 5
- 6
A: 4

Q: In quadrilateral ABCD, and . For what value of x is ABCD a rectangle?
- 18
- 12
- 16
- 14
A: 12

Q: Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.
- Arrange four equal-length sides so the diagonals bisect each other.
- Arrange four equal-length sides so the diagonals are equal lengths also.
- Make each diagonal the same length as four equal-length sides.
- Not possible; Lucinda has to be able to measure a right angle.
A: Arrange four equal-length sides so the diagonals are equal lengths also.

Q: Find the values of a and b. The diagram is not to scale.
A: (a choice with no text)

Q: Judging by appearances, which figure is a trapezoid?
A: (a choice with no text)

Q: In quadrilateral MNOP, Which of a parallelogram, trapezoid, or rhombus could quadrilateral MNOP be?
- parallelogram or rhombus
- parallelogram only
- trapezoid only
- any of the three
A: any of the three

Q: are base angles of isosceles trapezoid JKLM. If and
- 1
- 154
- 77
- 26
A: 154

Q: The isosceles trapezoid is part of an isosceles triangle with a 42° vertex angle. What is the measure of an acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.
- 69°; 138°
- 42°; 111°
- 42°; 138°
- 69°; 111°
A: 69°; 111°

Q: What is LM?
- 176
- 98
- 88
- 32
A: 88

Q: What is the value of x?
- 43
- 35
- 286
- 39
A: 35

Q: Find in the kite. The diagram is not to scale.
A: (a choice with no text)

Q: Which description does NOT guarantee that a trapezoid is isosceles?
- congruent bases
- congruent legs
- both pairs of base angles congruent
- congruent diagonals
A: congruent bases

Q: and Find The diagram is not to scale.
_
- 60
- 10
- 110
- 20
A: 20

Q: Find the values of the variables and the lengths of the sides of this kite.
_
- x = 9, y = 14; 11, 20
- x = 14, y = 9; 11, 11
- x = 14, y = 9; 6, 16
- x = 9, y = 14; 6, 16
A: x = 9, y = 14; 11, 20

Q: Is scalene, isosceles, or equilateral? The vertices are .
- cannot be determined
- scalene
- isosceles
- equilateral
A: isosceles

Q: A quadrilateral has vertices What special quadrilateral is formed by connecting the midpoints of the sides?
- kite
- rectangle
- trapezoid
- rhombus
A: rhombus

Q: Which diagram shows the most useful positioning and accurate labeling of an isosceles trapezoid in the coordinate plane?
A: (a choice with no text)

Q: Which diagram shows the most useful positioning of a rectangle in the first quadrant of a coordinate plane?
A: (a choice with no text)

Q: In the coordinate plane, three vertices of rectangle MNOP are M(0, 0), N(0, c), and P(d, 0). What are the coordinates of point O?
- (c, d)
- (d, c)
- (2d, 2c)
A: (d, c)

Q: The vertices of the trapezoid are the origin along with A(4p, 4q), B(4r, 4q), and C(4s, 0). Find the midpoint of the midsegment of the trapezoid.
- (2r, 2q)
- (p + r + s, 2q)
- (p + r + s, q)
- (2p + 2s, 2q)
A: (p + r + s, 2q)

Q: For the parallelogram, find coordinates for P without using any new variables.
- (a – c, c)
- (c, a)
- (a + c, b)
- (c, b)
A: (a + c, b)