AnswersEHS New Credit Topics in GeometryFigures in the Coordinate Plane (Sec 9-1)

Figures in the Coordinate Plane (Sec 9-1) — Unit test Answers

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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
2
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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°
3

Parallelogram L M N O is shown. Angle L is (x + 40) degrees and angle O is (3 x) degrees.

Question illustration
A
35°
B
75°
C
105°
D
155
Option D
4

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

A
trapezoid
B
rectangle
C
kite
D
rhombus
5

The angle measures of quadrilateral RSTU are shown.m∠R = (2x)°m∠S = (3x – 35)°m∠T = (x + 35)°

A
Yes, opposite angles R and T are congruent to each other if x = 35.
B
Yes, consecutive angles R and S are congruent to each other if x = 35.
C
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
D
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.
6

Rhombus LMNO is shown with its diagonals.

Question illustration
A
45°
B
56°
C
68°
D
90°
7

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
8

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
9

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
10

On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (0, negative 1), point W is at (4, 0), point Y is at (3, negative 2), and point Z is at (negative 1, negative 3).

Question illustration
A
+ units
Option A
B
+ units
Option B
C
16 units
D
22 units
11

Given: RT ≅ TV and ST ≅ TUProve: RSVU is a parallelogram. Statements Reasons1.RT ≅ TV; ST ≅ TU1.given2.∠RTS and ∠VTU are vert. ∠s;∠RTU and ∠VTS are vert. ∠s2.definition of vertical angles3.∠RTS ≅ ∠VTU;∠RTU ≅ ∠VTS3.vertical angles are congruent4.?4.SAS congruency theorem5.∠VRS ≅ ∠RVU; ∠USR ≅ ∠SUV; ∠VRU ≅ ∠RVS; ∠RUS ≅ ∠USV5.CPCTC6.∠VRS and ∠RVU, ∠USR and ∠SUV, ∠VRU and ∠RVS, ∠RUS and ∠USV are each a pair of alternate interior angles6.definition of alternate interior angles7.RS ∥ UV and RU ∥ SV7.converse of the parallelogram diagonal theorem8.RSVU is a parallelogram8.definition of parallelogramWhat is the missing statement in step 4?

Question illustration
A
△RTS ≅ △VTU and △RTU ≅ △VTS
B
△RTS ≅ △RVS and △RTU ≅ △STV
C
△VRS ≅ △VRU and △USR ≅ △USV
D
△VUR ≅ △VUS and △UVS ≅ △SRU
12

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
13

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°
14

In parallelogram RSTU, SW = 4 cm, WT = 6 cm, RS = 5 cm, and ST = 7 cm.

Question illustration
A
4 cm
B
5 cm
C
6 cm
D
7 cm
15

In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in.

Question illustration
A
6 in.
B
7 in.
C
8 in.
D
9 in.

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