Quadrilaterals and Coordinate Angles Unit Test 96%

Triangle XYZ is shown on the coordinate grid. Which statements are true about triangle XYZ? Select three options.

1, 2, 5

In quadrilateral ABDC, AB ∥ CD. Which additional piece of information is needed to determine that ABDC is a parallelogram?

AB ≅ CD

In the diagram, SR = and QR = . What is the perimeter of parallelogram PQRS?

B

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

BC||AD BA equals to CD Angle CBA equals to angle BCD

Which statement proves that △XYZ is an isosceles right triangle?

C. The slope of XZ is 3/4 , the slope of XY is -4/3 , and XZ = XY = 5.

Point A lies on the circle and has an x-coordinate of 1. Which is the correct calculation of the y-coordinate of point A?

D

EFGH is a rhombus. Given EG = 16 and FH = 12, what is the length of one side of the rhombus?

10 units

In parallelogram WXYZ, what is CY?

15 ft

What is the perimeter of quadrilateral ABCD?

18 + square root 26 units

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

19.8 cm

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio's work to find the length of side AB. What is the perimeter of quadrilateral ABCD?

20 units

What is the perimeter of rectangle EFGH?

2√10 + 2√29 units

What is the measure of angle ABD in trapezoid ABCD

40°

ABCD is a square. What is the measure of angle BAC?

45

In the parallelogram shown, AE = t + 2, CE = 3t − 14, and DE = 2t + 8. What is the length of line segment DB?

48 units

Figure CDEF is a parallelogram. What is the value of r?

5

WXYZ is a trapezoid with WX ≅ YZ. What is the length of XY?

5 units

Rhombus LMNO is shown with its diagonals. Angle MNO measures 112°. What is the measure of angle LMN?

68°

Figure ABCD is a parallelogram. What is the value of x?

7

What is the measure of angle S?

93 degrees

Kite FGHK is shown. What is the value of m?

m=3

What are the missing angle measures in parallelogram RSTU?

m∠R = 110°, m∠T = 110°, m∠U = 70°

Complete the proof to show that ABCD is a parallelogram. On a coordinate plane, quadrilateral A B C D is shown. Point A is at (negative 2, negative 2), point B is at (negative 3, 4), point C is at (2, 2), and point D is at (3, negative 4). The slope of Line segment B C is StartFraction 4 minus 2 Over negative 3 minus 2 EndFraction = negative two-fifths The slope of Line segment A D is StartFraction negative 4 minus (negative 2) Over 3 minus (negative 2) EndFraction = StartFraction negative 4 + 2 Over 3 + 2 EndFraction = negative two-fifths The slope of Line segment C D is StartFraction 2 minus (negative 4) Over 2 minus 3 EndFraction = StartFraction 2 + 4 Over 2 minus 3 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 The slope of Line segment B A is StartFraction 4 minus (negative 2) Over negative 3 minus (negative 2) EndFraction = StartFraction 4 + 2 Over negative 3 + 2 EndFraction = StartFraction 6 Over negative 1 EndFraction = negative 6 and because the ________________________________. Therefore, ABCD is a parallelogram because both pairs of opposite sides are parallel. lengths of consecutive sides are not equal slopes of opposite sides are equal lengths of opposite sides are equal slopes of consecutive sides are not equal

slopes of opposite sides are equal

In parallelogram LMNO, MP = 21 m, LP = (y + 3) m, NP = (3y - 1) m, andOP = (2x - 1) m. What are the values of x and y?

x = 11 m, y = 2 m

A partial proof was constructed given that MNOP is a parallelogram. Which statement should fill in the blank in the last line of the proof?

∠N ≅ ∠P