Markings show $\angle G \cong \angle T$, $\angle H \cong \angle U$, $\angle I \cong \angle S$. A student writes $\Delta GHI \cong \Delta STU$. Why is this statement invalid?

Because $G$ corresponds to $T$, not $S$

Because $H$ corresponds to $T$, not $U$

Because $I$ corresponds to $U$, not $S$

The statement is actually valid

Properties of Rigid Transformations Practice — Grade 8 math

Lesson 2: Properties of Rigid Transformations — Practice Questions

1. If $\Delta JKL \cong \Delta MNO$, which angle is congruent to $\angle K$?
- A. $\angle M$
- B. $\angle N$
- C. $\angle O$
- D. $\angle J$
2. Diagram markings show $\angle A \cong \angle R$, $\angle B \cong \angle P$, and $\angle C \cong \angle Q$. Which congruence statement is correct?
- A. $\Delta ABC \cong \Delta RPQ$
- B. $\Delta ABC \cong \Delta PQR$
- C. $\Delta ABC \cong \Delta RPQ$
- D. $\Delta ABC \cong \Delta QRP$
3. If Triangle XYZ is congruent to Triangle CAB, then YZ is congruent to ___. (AB | BC | CA)
4. In congruent polygons $PQRS \cong WXYZ$, which side is congruent to $\overline{QR}$?
- A. $\overline{WX}$
- B. $\overline{XY}$
- C. $\overline{YZ}$
- D. $\overline{ZW}$
5. Markings show $\angle G \cong \angle T$, $\angle H \cong \angle U$, $\angle I \cong \angle S$. A student writes $\Delta GHI \cong \Delta STU$. Why is this statement invalid?
- A. Because $G$ corresponds to $T$, not $S$
- B. Because $H$ corresponds to $T$, not $U$
- C. Because $I$ corresponds to $U$, not $S$
- D. The statement is actually valid
6. Two lines intersect. If one of the angles formed measures $130^\circ$, what is the measure in degrees of its vertical angle? ___
7. Which transformation, centered at the intersection point of two lines, maps an angle onto its vertical angle?
- A. A rotation of $90^\circ$
- B. A rotation of $180^\circ$
- C. A reflection across one of the lines
- D. A translation
8. Two intersecting lines form a pair of vertical angles with measures of $(3x - 5)^\circ$ and $55^\circ$. What is the value of $x$? ___
9. An angle measures $125^\circ$. It forms a straight line with an adjacent angle. What is the measure of the angle that is vertical to this adjacent angle?
- A. $55^\circ$
- B. $65^\circ$
- C. $125^\circ$
- D. $180^\circ$
10. Vertical angles have measures of $(5y + 15)^\circ$ and $(y + 95)^\circ$. What is the value of $y$? ___