Question

Suppose △jxp≅△mqb. what is the corresponding congruent part for each segment or angle? drag the answer into the box to correctly match each segment or angle.

Answer 1

In congruent triangles ►jxp≅►mqb, the matching parts are: jx to mq, xp to qb, jp to mb, and the angles at vertices j, x, and p correspond to the angles at m, q, and b respectively.

Step-by-step explanation:

In the context of congruent triangles, corresponding parts of congruent triangles are congruent, which is often abbreviated as CPCTC. This applies to corresponding angles as well as corresponding sides.

When two triangles are congruent, like ►jxp≅►mqb, every angle and side of one triangle has a congruent counterpart in the other triangle. To match each segment or angle with its congruent pair, we would follow the order of the vertices as stated in the congruence statement.

Here are the corresponding congruent parts for each segment or angle:

• The segment jx corresponds to the segment mq.
• The segment xp corresponds to the segment qb.
• The segment jp corresponds to the segment mb.
• The angle at j corresponds to the angle at m.
• The angle at x corresponds to the angle at q.
• The angle at p corresponds to the angle at b.

Answer 2

The corresponding congruent parts for each segment or angle in △jxp≅△mqb are jx ≅ mq, xp ≅ qb, ∠j ≅ ∠m, ∠x ≅ ∠q, and ∠p ≅ ∠b.

Step-by-step explanation:

The corresponding congruent parts for each segment or angle in the given congruent triangles △jxp and △mqb can be determined by using the corresponding parts of congruent triangles (CPCTC) theorem. According to this theorem, if two triangles are congruent, then their corresponding parts (sides and angles) are congruent as well.

So, for △jxp≅△mqb, the corresponding congruent parts are:

• jx ≅ mq (corresponding sides)
• xp ≅ qb (corresponding sides)
• ∠j ≅ ∠m (corresponding angles)
• ∠x ≅ ∠q (corresponding angles)
• ∠p ≅ ∠b (corresponding angles)