AnswersEAP-Geometry B CRClassifying Quadrilaterals

Classifying Quadrilaterals — Unit test Answers

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Figure ABCD is a square. Prove BD ≅ AC. Statements Reasons1.ABCD is a square1.given2.∠DAB, ∠ABC, ∠BCD, and ∠CDA are right angles2.definition of a square3.∠DAB ≅ ∠ABC ≅ ∠BCD ≅ ∠CDA3.right angles are congruent4.AB ≅ BC ≅ CD ≅ DA4.?5.△BAD ≅ △ABC5.SAS6.BD ≅ AC6.CPCTCWhat is the missing reason in the proof?

Question illustration
A
all sides of a square are congruent
B
all right angles measure 90°
C
definition of diagonal
D
definition of perpendicular
2
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Kite ABCD represents a softball field that is being built.

Question illustration
A
40 meters
B
70 meters
C
140 meters
D
218 meters
3

Parallelogram L M N O is shown. Angle N is (2 x) degrees and angle L is (3 x minus 20) degrees.

Question illustration
A
20°
B
30°
C
40°
D
50°
4

On a coordinate plane, square A B C D is shown. Point A is at (3, 4), point B is at (2, negative 2), point C is at (negative 4, negative 1), and point D is at (negative 3, 5).

Question illustration
A
units
Option A
B
units
Option B
C
28 units
D
37 units
5

Parallelogram A B C D is shown. Diagonals are drawn from point A to point C and from point D to point B and intersect at point E.

Question illustration
A
congruent triangles
B
similar triangles
C
congruent rectangles
D
similar rectangles
6

A carpenter cuts the corners of a rectangle to make the trapezoid shown.

Question illustration
A
5.375
B
5.5
C
11
D
13
7

Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD.

Question illustration
A
45o
B
90o
C
120o
D
135o
8

A corner of a rectangle is cut, creating a trapezoid.

Question illustration
A
105o
B
115o
C
125o
D
135o
9

Which angle measures are correct? Select three options.

A
m∠X = 55°
B
m∠W = 125°
C
m∠W = 55°
D
m∠Z = 125°
E
m∠Z = 55°
10

Quadrilateral A B C D is shown. Sides A D and B C are parallel. Sides A B and C D are congruent. Angle A is 115 degrees.

Question illustration
A
45°
B
65°
C
115°
D
135°
11

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
12

The diagonals of a parallelogram are congruent. Which could be the parallelogram?

A
trapezoid
B
rectangle
C
kite
D
rhombus
13

Parallelogram P Q S R is shown. The length of P Q is (2 x + 5) centimeters and the length of R S is (4 x + 1) centimeters.

Question illustration
A
2 cm
B
5 cm
C
6 cm
D
9 cm
14

A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.

Question illustration
A
21.2 m
B
27.5 m
C
32.5 m
D
38.2 m
15

On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4).

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

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