1. Line SD is a line of symmetry for figure AXPDZHMS. Noah says that AXPDS is congruent to HMZDS because sides AX and HM are corresponding. Part a: Why is Noah's congruence statement incorrect?

Part b: Write a correct congruence statement for the pentagons.

The line of symmetry of the quadrilateral AXPDZHMS = The line SD

Therefore, given that SD is congruent to SD by reflexive property, we have;

AXPDS is congruent to MHZDS

Part a: The reason why Noah's congruency statement is incorrect is the

order of the lettering in the statement, and the part of the selected that do

not directly show congruency, which are;

Part b: The correct congruency statement is presented as follows;

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Answer/Step-by-step explanation:

Part A:

If a figure is divided into two equal halves by a line of symmetry, each of the pair the corresponding parts will be congruent to the other part.

Thus, based on the Symmetric Figures Theorem, the two parts in the question above are congruent as a result of the line of symmetry, line SD, which makes one part the mirror image of the other.

Therefore, Noah's congruence statement is of the pentagons is incorrect.

Part B:

Based on Symmetric Figures Theorem, AXPDS is congruent to MHZDS as the line of symmetry, line SD, makes one a mirror image of the other.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

50-60=10

step-by-step explanation: