One way is to trace around one of the triangles and place it over the other. If<span> the angles and sides match exactly, then the </span>two<span> are </span>congruent<span>. But there is another way to </span>tell<span>. </span>If two<span> triangles have </span>congruent<span> corresponding parts, then the triangles are </span>congruent<span> triangles.
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Answer:
Fraction = 
Decimal = 0.38
Percent = 38%
Step-by-step explanation:
Number of shaded rectangles = 38
Total number of rectangles = 100
Fraction represented by the shaded area = 
= 
= 
=
Decimal form of the shaded area = = 0.38
Percent of the shaded area = = 38%
Answer:2.38782608695652173913043478260869565217
Step-by-step explanation:
you divide 1373 by 575
Answer:
No, because the numbers in the given ratio must be multiplied by the same number.
Step-by-step explanation:
Essentially, ratio to be equal must be equal. E.g. 3:4 would be equal to 6:8 because you multiply both sides of the ratio by 2.
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
