Answers25-26 DISD Geometry B CRFigures in the Coordinate Plane (Sec 9-1)

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

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Figure ABCD is a parallelogram.

Question illustration
A
6
B
7
C
8
D
9
2
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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
3

Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°.What are the two different angle measures of the parallelogram-shaped tile?

A
20° and 160°
B
50° and 130°
C
30° and 150°
D
70° and 110°
4

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.
5

Given: ABCD is a kite.Prove: BD bisects AC.

Question illustration
A
corresponding parts of congruent triangles are congruent
B
corresponding parts of similar triangles are congruent
C
diagonals of a kite are congruent
D
adjacent sides of a kite are congruent
6

In the diagram, WZ=.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
7

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°
8

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
9

Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches.

Question illustration
A
30 inches
B
39 inches
C
inches
Option C
D
inches
Option D
10

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°
11

Kite ABCD represents a softball field that is being built.

Question illustration
A
40 meters
B
70 meters
C
140 meters
D
218 meters
12

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).

Question illustration
A
(1,−1)
B
(1,1)
C
(1,0)
D
(0,1)
13

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
14

On a coordinate plane, parallelogram P Q R S is shown. Point P is at (5, 1), point Q is at (6, 4), point R is at (3, 10), and point S is at (2, 7).

Question illustration
A
The slopes of SP and RQ are both –2 and SP = RQ = .
Option A
B
The slopes of RS and QP are both 3 and SP = RQ = .
Option B
C
The midpoint of RP is and the slope of RP is .
Option C
D
The midpoint of SQ is and SQ = 5.
Option D
15

Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm.What are the lengths of two adjacent sides of the parallelogram?

A
2 cm and 2 cm
B
4 cm and 7 cm
C
7 cm and 9 cm
D
13 cm and 19 cm

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