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arlik [135]
3 years ago
15

Justify the last two steps of the proof Given ABCD is a parallelogram Prove ABC CDA

Mathematics
2 answers:
Sveta_85 [38]3 years ago
8 0

D. Reflexive Property of SSS

xenn [34]3 years ago
4 0

Answer:

D

3. Reflexive Property of (Congruence) ≅

4. SSS (Side to Side to Side Congruence rule)

Step-by-step explanation:

3. Any geometric figure compared to itself is congruent to itself so this is why:

\overline{AC}\cong \overline{CA}\\\angle B\cong \angle B\\(...)

4. Since we have a parallelogram, therefore we can say:

\overline{BC}\cong \overline{DA}\\\\\overline{BA}\cong \overline{DC}\\\\\overline{CA}\cong \overline{AC}\\

Both triangles ABC and CDA satisfy the side to side to side congruence, since their 3 sides are congruent.

So, It's D.

P.S.

Notice that the angle measure information is not included in the data above that's why we cannot say it is SAS congruence.

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Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.
Dmitry_Shevchenko [17]

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form

y

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where

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We are given that

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5

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6

30

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Based on this we can create our equation:

y

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And then find

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2

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5 0
3 years ago
In the accompanying diagram of ABC ca is extended to D, m∠ABC = 70 and m∠BCA =50 Find m∠DAB
zvonat [6]

Answer:

<em>120 degrees</em>

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

<em>Hence the measure of m∠DAB is 120 degrees</em>

6 0
3 years ago
Simplify the expression.
podryga [215]

Answer:

12(−12m+38)

Step-by-step explanation:

12(−12m+38)

7 0
3 years ago
What type of triangle is formed with sides of length 11, 13, and 15?
Tems11 [23]

Answer:

Scalene Traingle

Step-by-step explanation:

All the sides given are not equal so it is a scalene triangle

5 0
3 years ago
X/2+9=4<br> Please help me!! :(
Lelu [443]
Firstly you have to multiply both sides by 2 to get rid of the fractions. This leaves you with x + 18= 8. If you take away 18 from both sides you can see that x = -10
3 0
3 years ago
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