Question
Using the following figure select the parts of a triangle that are congruent to their corresponding parts given in the first column. Use the fact that Delta LQJcong Delta XYA square square square square square square square square square square square square square square square square square
Answer
4.7
(245 Votes)
Rhys
Elite · Tutor for 8 years
Answer
Given that
, we can use the fact that corresponding parts of congruent triangles are congruent (CPCTC) to fill in the table. Let's go through each row and determine the corresponding congruent part.Step 1: Identify the corresponding angles and sides in the congruent triangles.-
in
corresponds to
in
.-
in
corresponds to
in
.-
in
corresponds to
in
.-
in
corresponds to
in
.Step 2: Fill in the table with the corresponding congruent parts.- For
, the congruent angle is
.- For
, the congruent side is
.- For
, the congruent side is
.- For
, the congruent angle is
.Step 3: Write down the completed table with the congruent parts filled in.\begin{array}{|c|c|c|c|c|c|c|}\hline\ Parts\ of\ triangle\ &\ \angle\ X\ &\ \angle\ A\ &\ \angle\ Y\ &\ \overline{X\ Y}\ &\ \overline{X\ A}\ &\ \overline{Y\ A}\ \\\hline\angle\ J\ &\ &\ X\ &\ &\ &\ &\ \\\hline\overline{L\ J}\ &\ &\ &\ &\ &\ &\ X\ \\\hline\overline{Q\ J}\ &\ &\ &\ &\ &\ X\ &\ \\\hline\angle\ L\ &\ &\ &\ X\ &\ &\ &\ \\\hline\end{array}Answer:-
is congruent to
.-
is congruent to
.-
is congruent to
.-
is congruent to
.