Answers1206310 Geometry Sem 1 - CarlislePerformance Task: Constructions

Performance Task: Constructions — Unit test Answers

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3

A flowchart proof

A
contains a set of sentences explaining the steps needed to reach a conclusion.
B
uses inductive reasoning to prove a statement.
C
uses a visual representation of the logical flow of steps needed to reach a conclusion.
D
contains a table with a logical series of statements and reasons that reach a conclusion.
4

[BLANK]

A
conclusion
B
given information
C
assumptions
D
argument
7

The diagram shows several planes, lines, and points.

Question illustration
A
Line h intersects line f at two points, A and B.
B
Line h is the intersection of planes R and T.
C
Line h intersects plane P at point C.
D
Line h has points on planes R, P, and T.
9

What is the missing reason in the proof?Given: ∠ABC is a right angle, ∠DBC is a straight angleProve: ∠ABC ≅ ∠ABD

Question illustration
A
definition of angle bisector
B
segment addition property
C
definition of congruent angles
D
transitive property
10

Given that bisects ∠CEA, which statements must be true? Select three options.

Question illustration
A
m∠CEA = 90°
B
m∠CEF = m∠CEA + m∠BEF
C
m∠CEB = 2(m∠CEA)
D
∠CEF is a straight angle.
E
∠AEF is a right angle.
13

Two lines intersecting at a right angle

A
form a line.
B
are parallel.
C
are perpendicular.
D
form a ray.
16

Question text not available

Question illustration
A
line XY
B
line XZ
C
line WX
D
line WZ
19

If m∠A = m∠B and m∠A + m∠C = m∠D, thenm∠B + m∠C = m∠D.

A
reflexive property
B
substitution property
C
symmetric property
D
transitive property
20

Which defines a circle?

A
two rays with a common endpoint
B
a piece of a line with two endpoints
C
a piece of a line with one endpoint
D
all coplanar points equidistant from a given point

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