AnswersEAP-Geometry B CRClassifying Quadrilaterals

Classifying Quadrilaterals — Unit test Answers

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1
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If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Select three options

A
BC ∥ AD
B
BD ⊥ AC
C
BA ≅ CD
D
BE ≅ ED
E
∠CBA ≅ ∠BCD
2
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Kite FGHK is shown.

Question illustration
A
m=2
B
m=3
C
m=15
D
m=16
3

Rhombus LMNO is shown with its diagonals.

Question illustration
A
34°
B
45°
C
56°
D
68°
4

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (negative 2, 5), point Q is at (2, 1), point R is at (1, negative 2), and point S is at (negative 3, 2).

Question illustration
A
units
Option A
B
+ units
Option B
C
units
Option C
D
+ 8 units
Option D
5

WXYZ is a trapezoid with WX ≅ YZ.

Question illustration
A
3 units
B
4 units
C
5 units
D
6 units
6

On a coordinate plane, rectangle E F G H is shown. Point E is at (1, negative 1), point F is at (negative 4, 1), point G is at (negative 3, 4), and point H is at (2, 2).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
22 units
D
39 units
7

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, andOP = (2x – 1) m.

Question illustration
A
x = 10 m, y = 1 m
B
x = 10 m, y = 2 m
C
x = 11 m, y = 1 m
D
x = 11 m, y = 2 m
8

A quadrilateral has congruent side lengths. 2 opposite angles have measures of 100 degrees. The other 2 opposite angles have measures of 70 degrees and (5 x) degrees.

Question illustration
A
14
B
15
C
16
D
17
9

Quadrilateral A B D C is shown.

Question illustration
A
AB ≅ CD
B
AC ≅ BD
C
AB ⊥ BD
D
CD ⊥ BD
10

Figure CDEF is a parallelogram.

Question illustration
A
2
B
3
C
4
D
5
11

ABCD is a square.

Question illustration
A
30°
B
45°
C
60°
D
90°
12

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
13

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

A
3 cm
B
4 cm
C
6 cm
D
7 cm
14

The perimeter of a square is 56 cm. What is the approximate length of its diagonal?

A
10.6 cm
B
14.0 cm
C
15.0 cm
D
19.8 cm
15

A partial proof was constructed given that MNOP is a parallelogram. By the definition of a parallelogram,MN ∥ PO and MP ∥ NO.Using MP as a transversal, ∠M and ∠P are same-side interior angles, so they are supplementary.Using NO as a transversal, ∠N and ∠O are same-side interior angles, so they are supplementary.Using OP as a transversal, ∠O and ∠P are same-side interior angles, so they are supplementary.Therefore, __________________ because they are supplements of the same angle.

Question illustration
A
∠M is supplementary to ∠O
B
∠N is supplementary to ∠P
C
∠M ≅ ∠P
D
∠N ≅ ∠P
16

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
17

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.

Question illustration
A
48o
B
56o
C
93o
D
101o
18

On a coordinate plane, triangle X Y Z is shown. Point X is at (1, 3), point Y is at (4, negative 1), and point Z is at (5, 6).

Question illustration
A
XZ is not perpendicular to XY
B
XZXY
Option B
C
The slope of XZ is , the slope of XY is , and XZ = XY = 5.
Option C
D
The slope of XZ is , the slope of XY is , and the slope of ZY = 7.
Option D
19

Complete the proof to show that ABCD is a parallelogram. The slope of is The slope of is The slope of is The slope of is

Question illustration
A
lengths of consecutive sides are not equal
B
slopes of opposite sides are equal
C
lengths of opposite sides are equal
D
slopes of consecutive sides are not equal
20

Parallelogram R S T U is shown. Angle S is 70 degrees.

Question illustration
A
m∠R = 70°, m∠T = 110°, m∠U = 110°
B
m∠R = 110°, m∠T = 110°, m∠U = 70°
C
m∠R = 110°, m∠T = 70°, m∠U = 110°
D
m∠R = 70°, m∠T = 110°, m∠U = 70°

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