In δabc shown below, line segment ab is congruent to line segment bc:

given: line segment ab≅line segment bc

prove: the base angles of an isosceles triangle are congruent.

the two-column proof with missing statement proves the base angles of an isosceles triangle are congruent:

statement reason
1. segment bd is an angle bisector of ∠abc. 1. by construction
2. ∠abd ≅ ∠cbd 2. definition of an angle bisector
3. segment bd ≅ segment bd 3. reflexive property
4. 4. side-angle-side (sas) postulate
5. ∠bac ≅ ∠bca 5. cpctc

which statement can be used to fill in the numbered blank space?

a. δdab ≅ δdbc
b. δabd ≅ δabc
c. δabc ≅ δcbd
d. δabd ≅ δcbd

D..

Step-by-step explanation:

Given

In triangle ABC a line segment AB is congruent to line segment BC.

Given:

To prove that the base angles of an isosceles triangle are congruent.

i.e

1.Statement: Segment BD is an angle bisector of

Reason: By construction.

2.Statement:

Reason: By definition of an angle bisector.

3.Statement:

Reason: Reflexive property .

4. Statement:

Reason: Side-Angle-Side(SAS)

Postulate

5.Statement:

Reason: CPCT.

Hence proved.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.