REASONING
1 $overline{NR}$
NR?is a median of
$triangle NPQ$
?NPQ?, and
$NQ>NP$
NQ>NP?. Explain why
$angle NRQ$
?NRQ?is obtuse.
3 Graph quadrilateral
$ABCD$
ABCD?with vertices
$A(-8, 2), B(-6, 8), C(-2, 6)$
A(?8, 2), B(?6, 8), C(?2, 6)?, and
$D(-4, 2)$
D(?4, 2)?and its image after the similarity transformation.
Reflection: in the
$x$
x?-axis
Dilation:
$(x, y)to(0.5x, 0.5y)$
3 If
$PR=PS$
PR=PS? and
$mangle QPR > mangle QPS$
m?QPR > m?QPS?, which is longer,
$overline{SQ}$
SQ? or
$overline{RQ}$
RQ??
Responses
? $overline{SQ}$
? SQ?
? line segment s q
? $overline{RQ}$
6 Write a temporary assumption you can make to prove the Hinge
Theorem by contradiction indirectly. What two cases does that
assumption lead to?
Put responses in the correct input to answer the question. Select a
response, navigate to the desired input and insert the response.
Responses can be selected and inserted using the space bar, enter
key, left mouse button or touchpad. Responses can also be moved by
dragging with a mouse.
Assume temporarily that the third side of the first triangle
Response area
longer than the third side of the second triangle. The third side of the
first triangle is either
Response area
the third side of the second triangle or
Response area
the third side of the second triangle.
9 Three groups of bikers leave the same camp heading in opposite
directions. Each group travels 2 miles, then changes direction and
travels 1.2 miles. Group A starts due east and then turns 45
$degree$
àtoward north. Group B starts dues west and then turns 30
$degree$
àtoward south. Group C starts due north, then turns 40
$degree$
àtoward east. Compare the distances from camp for all three groups.
Put responses in the correct input to answer the question. Select a
response, navigate to the desired input and insert the response.
Responses can be selected and inserted using the space bar, enter key,
left mouse button or touchpad. Responses can also be moved by
dragging with a mouse.
Response area
is the farthest from camp,
Response area
is next, and
Response area
is the closest to camp.
Group AGroup BGroup C
10 If
$PR=PS$
PR=PS? and
$RQ mangle QPS$
m?QPR > m?QPS?, which is longer,
$overline{SQ}$
SQ? or
$overline{RQ}$
RQ??
Responses
? $overline{SQ}$
? SQ?
? line segment s q
? $overline{RQ}$
6 Write a temporary assumption you can make to prove the Hinge
Theorem by contradiction indirectly. What two cases does that
assumption lead to?
Put responses in the correct input to answer the question. Select a
response, navigate to the desired input and insert the response.
Responses can be selected and inserted using the space bar, enter
key, left mouse button or touchpad. Responses can also be moved by
dragging with a mouse.
Assume temporarily that the third side of the first triangle
Response area
longer than the third side of the second triangle. The third side of the
first triangle is either
Response area
the third side of the second triangle or
Response area
the third side of the second triangle.
9 Three groups of bikers leave the same camp heading in opposite
directions. Each group travels 2 miles, then changes direction and
travels 1.2 miles. Group A starts due east and then turns 45
$degree$
àtoward north. Group B starts dues west and then turns 30
$degree$
àtoward south. Group C starts due north, then turns 40
$degree$
àtoward east. Compare the distances from camp for all three groups.
Put responses in the correct input to answer the question. Select a
response, navigate to the desired input and insert the response.
Responses can be selected and inserted using the space bar, enter key,
left mouse button or touchpad. Responses can also be moved by
dragging with a mouse.
Response area
is the farthest from camp,
Response area
is next, and
Response area
is the closest to camp.
Group AGroup BGroup C
10 If
$PR=PS$
PR=PS? and
$RQ
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