All categories

4 years ago

PLEASE HELP ASAP 2 QUESTION ON CONGRUENT TRIANGLES I WILL GIVE BRAINIEST

Mathematics

1 answer:

pantera1 [17]4 years ago

3 0

Answer:

See explanation

Step-by-step explanation:

Q11. Statement Reason

1. $\overrightarrow {MO}$ bisects $\angle PMN$ Given

2. $\angle PMO\cong \angle NMO$ Definition of angle bisector

3. $\overline{MO}\cong \overline{MO}$ Reflexive property

4. $\overrightarrow {OM}$ bisects $\angle PON$ Given

5. $\angle POM\cong \angle NOM$ Definition of angle bisector

6. $\triangle PMO\cong \triangle NMO$ ASA postulate

Q13.

1. Consider triangles ACB and DCE. In these triangles,

$\overline{BC}\cong \overline{EC}$ - given;
$\overline{AC}\cong \overline{DC}$ - given;
$\angle ACB\cong \angle DCE$ - as vertical angles (by vertical angles theorem)

Hence, triangles ACB and DCE are congruent by SAS postulate.

2. congruent triangles have congruent corresponding sides, so

$\overline{BA}\cong \overline{ED}$

You might be interested in

Choose all of the transformations that would change a triangle into one that is similar, but not congruent. Which transformation

Vsevolod [243]

You didn't supply a list. The so-called rigid transformations of translation, rotation and reflection create congruent triangles.

Generally it's dilation by a factor about a point is preserves similarity but not congruency. Any transformation which includes such scalings but is otherwise rigid also preserves similarity but not congruency.

8 0

3 years ago

Which inequality can be used to explain why these three segments cannot be used to construct a triangle?

ryzh [129]

The answer choice which explains that the three segments cannot be used to construct a triangle is; AC + CB < AB.

<h3>Which inequality explains why the three segments cannot be used to construct a triangle?</h3>

Since, It follows from the triangle inequalities theorem that sum of the side lengths of any two sides of a triangle is greater than the length of the third side.

Hence, since the sum of sides AC + CB is less than AB, it follows that the required inequality is; AC + CB < AB.

Read more on triangle inequalities;

brainly.com/question/309896

#SPJ1

7 0

2 years ago

The price of orange juice is believed to increase by 14% over the next year. If a gallon of orange juice costs $3.00 now, what w

hichkok12 [17]

Answer:

3.42

Step-by-step explanation:

6 0