Question

Can someone help me out on these geometry questions? ASAP!!!

Write formal proofs the LA Theorm.

Answer 1

Question 4

1)
`\angle B` and
`\angle E` are right angles,
`\overline{AB} \cong \overline{DE}`,
`\angle A \cong \angle D` (given)

2)
`\triangle CBA` and
`\triangle FED` are right triangles (a triangle with a right angle is a right triangle)

3)
`\triangle CBA \cong \triangle FED` (LA)

• Note: I wrote the names of the triangles in an alternate order because of the word filter.

Question 5

1)
`\overline{XY} \perp\overline{WZ}`,
`\overline{UV} \perp \overline{WZ}`,
`\overline{VW} \cong \overline{YZ}`, and
`\angle Z \cong \angle W` (given)

2)
`\angle XYZ` and
`\angle UVW` are right angles (perpendicular lines form right angles)

3)
`\triangle XYZ` and
`\triangle UVW` are right triangles (a triangle with a right angle is a right triangle)

4)
`\triangle XYZ \cong \triangle UVW` (LA)

5)
`\overline{UW} \cong \overline{XZ}` (CPCTC)

Question 6

1)
`\overline{PQ} \perp \overline{QT}`,
`\overline{ST} \perp \overline{QT}`,
`\overline{PQ} \perp \overline{ST}` (given)

2)
`\angle PQR` and
`\angle RTS` are right angles (perpendicular lines form right angles)

3)
`\triangle PQR` and
`\triangle STR` are right triangles (a triangle with a right angle is a right triangle)

4)
`\angle PRQ \cong \angle SRT` (vertical angles are congruent)

5)
`\triangle PQR \cong \triangle STR` (LA)

6)
`\overline{QR} \cong \overline{TR}` (CPCTC)