?Construction The most common type of design for a house roof is a gable roof. The

Draw a right triangle. Then construct all of the altitudes of the triangle.

Draw a triangle like ?ABC. Then use a segment bisector construction to construct the perpendicular bisector of \(\overline{A C}\). Equation Transcription: Text Transcription: overline AC

Compare and contrast altitudes and perpendicular bisectors.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude, a perpendicular bisector, both, or neither.

Camping The front of a pup tent is shaped like a triangle. Tell whether the roof pole is an altitude, a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

For each triangle, tell whether the red segment or line is an altitude,a perpendicular bisector, both, or neither.

Name a perpendicular bisector in ?ABC.

Tell whether \(\overline{A C}\) is a perpendicular bisector, an altitude, both, or neither. Equation Transcription: Text Transcription: Overline AC

In ?DEF, \(\overline{G H}\) is the perpendicular bisector of \(\overline{E F}\). Is it possible to construct other perpendicular bisectors in ?DEF? Make a conjecture about the number of perpendicular bisectors of a triangle. Equation Transcription: Text Transcription: Overline GH Overline EF

ArchitectureThe Transamerica building in San Francisco is triangular in shape. Copy the triangle onto a sheet of paper. Then construct the perpendicular bisector of each side.

Transportation There are four major types of highway interchanges. One type, a cloverleaf interchange, is shown. Notice that each ramp along with sections of the highway form a triangle. Tell whether highway A is an altitude, a perpendicular bisector, both, or neither.

Construction The most common type of design for a house roof is a gable roof. The illustration shows the structural elements of a gable roof. a. Which structural element is a perpendicular bisector? b. Tell whether the top plate is an altitude. Explain your reasoning. c. Tell whether the collar tie is a perpendicular bisector. Explain your reasoning.

Critical Thinking Draw two types of triangles in which the altitude is on the line that forms the perpendicular bisector. Identify the types of triangles drawn, and draw the altitude and perpendicular bisector for each triangle.

Algebra In ?ABC, \(\overline{B Z}, \overline{C X}, \text { and } \overline{A Y}\) are medians. If BY = x - 2 and YC = 2x - 10, find the value of x. (Lesson 6–1) Equation Transcription: , and Text Transcription: overline BZ, overline CX, and overline AY

Determine whether ?CDE and ?GHJ are congruent by SSS, SAS, ASA, or AAS. If it is not possible to prove that they are congruent, write not possible. (Lessons 5–5 & 5–6)

Find the slope of the line passing through points at (2, 3) and (-2, 4). (Lesson 4–5)

Short Response Draw the next figure in the pattern. (Lesson 1–1)

Multiple Choice Andrew is buying a pair of sunglasses priced at $18.99. What is the total cost of the sunglasses if he needs to pay a sales tax of 6%? Round to the nearest cent. (Percent Review) a. $19.10 b. $19.94 c. $20.13 d. $20.54