Answer:Rigid transformations preserve segment lengths and angle measures.
A rigid transformation, or a combination of rigid transformations, will produce congruent figures.
In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.
We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.
Step-by-step explanation:
Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.
The triangle is acute because the <span><span>triangle has all angles less than 90° !
</span>The right answer is D !</span>
5. The way I do these problems is setting up the equation as follows:
P1V1/T1 = P2V2/T2
The units of volume and pressure can be substituted as given, since they are in relation to one another, however, the final answer must match the units provided in the question. Also, temperature must be converted to Kelvins before the equation can be used.
V1 = 50 cm^3
P1 = 825 Hg/mm
T1 = 15C = 288K
P2 = 750 Hg/mm
T2 = 47C = 320K
V2 = ?
Solve:
P1V1/T1 = P2V2/T2
(825)(50)/(288) = (750)V2/(320)
143.23 = 2.34V2
V2 = 61.21 cm^3
To find the volume of any cube you need to know the length, width and height. The formula to find the volume multiplies the length by the width by the height. The good news for a cube is that the measure of each of these dimensions is exactly the same. Therefore, you can multiply the length of any side three times.
Step-by-step explanation:
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