AnswersMISD CR Geometry BTest

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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
2
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ABCD is a square.

Question illustration
A
30°
B
45°
C
60°
D
90°
3

A polygon with 9 sides is shown. An exterior angle has a measure of x degrees.

Question illustration
A
36°
B
40°
C
45°
D
60°
4

Polygon A B C D is shown with exterior angles. Exterior angle A is 25 degrees, exterior angle B is 146 degrees, and exterior angle D is 149 degrees.

Question illustration
A
25º
B
40º
C
140º
D
155º
5

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°
6

Figure CDEF is a parallelogram.

Question illustration
A
2
B
3
C
4
D
5
7

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
8

Parallelogram W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The length of W C is (x + 4) feet and the length of C Y is (2 x minus 7) feet.

Question illustration
A
11 ft
B
15 ft
C
21 ft
D
23 ft
9

Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
10

Rhombus LMNO is shown with its diagonals.

Question illustration
A
34°
B
45°
C
56°
D
68°
11

Which polygon is a concave octagon?

A
A polygon has 7 sides. One angle goes inside of the shape.
Option A
B
A polygon has 8 sides.
Option B
C
A polygon has 8 sides. One angle goes inside of the shape.
Option C
D
A polygon has 7 sides.
Option D
12

EFGH is a rhombus.

Question illustration
A
6 units
B
8 units
C
10 units
D
14 units
13

Polygon A B C D E F has 6 sides. Angle A is 170 degrees, angle C is 133 degrees, angle D is 102 degrees, angle E is 117 degrees, and angle F is 90 degrees.

Question illustration
A
98°
B
108°
C
118°
D
128 °
14

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8.

Question illustration
A
20 units
B
24 units
C
48 units
D
68 units
15

Quadrilateral A B D C is shown.

Question illustration
A
AB ≅ CD
B
AC ≅ BD
C
AB ⊥ BD
D
CD ⊥ BD
16

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
17

Trapezoid FGHI is shown below. Which sides of the trapezoid are parallel?

Question illustration
A
and
Option A
B
and
Option B
C
and
Option C
D
and
Option D
18

Which polygon has an interior angle sum of 1080°?

A
A polygon has 8 sides.
Option A
B
A polygon has 10 sides.
Option B
C
A polygon has 9 sides.
Option C
D
A polygon has 7 sides.
Option D
19

Consider the diagram and proof below.Given: WXYZ is a parallelogram, ZX ≅ WYProve: WXYZ is a rectangle Statement Reason1.WXYZ is a ▱; ZX ≅ WY1.given2.ZY ≅ WX2.opp. sides of ▱ are ≅3.YX ≅ YX3.reflexive4.△ZYX ≅ △WXY4.SSS ≅ thm.5.∠ZYX ≅ ∠WXY5.CPCTC6.m∠ZYX ≅ m∠WXY6.def. of ≅7.m∠ZYX + m∠WXY = 180°7.?8.m∠ZYX + m∠ZYX = 180°8.substitution9.2(m∠ZYX) = 180°9.simplification10.m∠ZYX = 90°10.div. prop. of equality11.WXYZ is a rectangle11.rectangle ∠ thm.What is the missing reason in Step 7?

Question illustration
A
triangle angle sum theorem
B
quadrilateral angle sum theorem
C
definition of complementary
D
consecutive ∠s in a ▱ are supplementary
20

Given: AD ≅ BC and AD ∥ BCProve: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are alternate interior ∠s 2. definition of alternate interior angles 3. ∠CAD ≅ ∠ACB 3. alternate interior angles are congruent 4. AC ≅ AC 4. reflexive property 5. △CAD ≅ △ACB 5. SAS congruency theorem 6. AB ≅ CD 6. ? 7. ABCD is a parallelogram 7. parallelogram side theorem What is the missing reason in step 6?

Question illustration
A
SSS congruency theorem
B
CPCTC
C
definition of a parallelogram
D
opposite sides in a parallelogram are congruent

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