AnswersGeometry with StatisticsQuadrilaterals and Coordinate Algebra

Quadrilaterals and Coordinate Algebra — Test Answers

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1
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Which statement should fill in the blank in the last line of the proof?

A
angle cap n is supplementary to angle cap p .
B
angle cap n is congruent to angle cap p
C
angle cap m is congruent to angle cap p
D
angle cap m is supplementary to angle cap o .
2
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What is the measure of angle BAC?

A
60 degrees
B
45 degrees
C
90 degrees
D
30 degrees
4

What is the length of line segment XY ?

A
6 units
B
5 units
C
3 units
D
4 units
5

How many people are there in Happyville?

A
74 point 0
B
33 comma 936 point 4
C
30 comma 267 point 6
D
458 point 6
8

Angle MNO measures 112 degrees What is the measure of angle LMN?

A
56 degrees
B
45 degrees
C
34 degrees
D
68 degrees
9

What could be the coordinates of point cap e ?

A
open paren 2 comma negative 1 close paren
B
open paren negative 1 comma negative 3 close paren
C
open paren negative 1 comma 2 close paren
D
open paren negative 3 comma negative 1 close paren
10

In the diagram, SR is equal to 4 square root of 2 and QR is equal to square root of 10 What is the perimeter of parallelogram PQRS ?

A
square root of 10 units
B
16 square root of 2 units
C
8 square root of 2 plus 8 units
D
8 square root of 2 plus 2 square root of 10 units
11

What is the measure of angle cap s ?

A
56 degrees
B
101 degrees
C
93 degrees
D
48 degrees
13

What could be the coordinates of point cap t ?

A
open paren negative 4 comma 1 close paren
B
open paren 0 comma negative 4 close paren
C
open paren 1 comma negative 4 close paren
D
open paren negative 4 comma 0 close paren
14

In quadrilateral ABDC , line segment AB is parallel to line segment CD Which additional piece of information is needed to determine that ABDC is a parallelogram?

A
line segment CD perpendicular to line segment BD
B
line segment AB is congruent to line segment CD
C
line segment AB perpendicular to line segment BD
D
line segment AC is congruent to line segment BD
16

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

A
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and XZ is equal to XY is equal to 5 .
B
XZ is equal to XY is equal to 5
C
The slope of line segment XZ is 3 fourths , the slope of line segment XY is negative 4 thirds , and the slope of line segment ZY is equal to 7 .
D
line segment XZ perpendicular to line segment XY
19

What are the missing angle measures in parallelogram RSTU ?

A
m angle cap r is equal to 110 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 70 degrees
B
m angle cap r is equal to 110 degrees , m angle cap t is equal to 70 degrees , m angle cap u is equal to 110 degrees
C
m angle cap r is equal to 70 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 110 degrees
D
m angle cap r is equal to 70 degrees , m angle cap t is equal to 110 degrees , m angle cap u is equal to 70 degrees
20

If quadrilateral ABCD is an isosceles trapezoid, which statements must be true? Choose three correct answers.

A
angle CBA is congruent to angle BCD
B
line segment BC is parallel to line segment AD
C
line segment BE is congruent to line segment ED
D
line segment BA is congruent to line segment CD
E
line segment BD perpendicular to line segment AC

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