Question

exit ticket
draw, label and annotate (with all 6 pairs of congruent marks for angles and sides) the following figures:
△vtw ≅△ujp

write 6 more congruency statements of corresponding parts represented by the diagram:

teacher feedback/next steps for practice
☐ accurately determine if two shapes are congruent by seeing if they are the same shape and
size.
☐ choose equal to or congruent to depending on if were dealing with figures (or parts of figur
or measurements/values.
☐ identify corresponding parts of a figure (angles/sides) by using the order of the points in a
congruence statement.
☐ use congruency marks (that increased in #) to notate each set of congruent parts of
congruent figures

Explanation:

Step1: Identify congruent angles

Since $\triangle AYW \cong \triangle IJP$, corresponding angles are congruent:
$\angle A \cong \angle I$, $\angle Y \cong \angle J$, $\angle W \cong \angle P$

Step2: Identify congruent sides

Corresponding sides of congruent triangles are congruent:
$\overline{AY} \cong \overline{IJ}$, $\overline{YW} \cong \overline{JP}$, $\overline{AW} \cong \overline{IP}$

Step3: List 6 congruency statements

Combine the angle and side congruences to get 6 statements.

Answer:

1. $\angle A \cong \angle I$
2. $\angle Y \cong \angle J$
3. $\angle W \cong \angle P$
4. $\overline{AY} \cong \overline{IJ}$
5. $\overline{YW} \cong \overline{JP}$
6. $\overline{AW} \cong \overline{IP}$

(For the drawing portion: Label triangle $\triangle AYW$ and $\triangle IJP$, add congruency marks: mark $\angle A$ and $\angle I$ with the same number of arcs, $\angle Y$ and $\angle J$ with a second set of arcs, $\angle W$ and $\angle P$ with a third set; mark $\overline{AY}$ and $\overline{IJ}$ with one tick mark, $\overline{YW}$ and $\overline{JP}$ with two tick marks, $\overline{AW}$ and $\overline{IP}$ with three tick marks.)