geometry a - unit 3: exam

a triangle has two sides that have a length of 4 cm. which answer choices list possible types of angles for this triangle?

1 right angle and 2 acute angles with the same measure 1 obtuse angle and 2 acute angles with the same measure

use the following figure and information to complete the proof. given : m<4 = m<2, m<5 = m<3, m<dbe = 180 prove : m<1 + m<2 + m<3 = 180 match each numbered statement in the proof to its correct reason.

1. given 2. angle addition postulate 3. transition property of equality 4. substitution property of equality 5. commutative property of addition

use the following figure and information to complete the proof. given : m|n, line l is a transversal of lines m and n prove : <3 = <5 match each numbered statement in the proof to its correct reason

1. given 2. definition of vertical angles 3. vertical angles theorem 4. definition of corresponding angles 5. corresponding angles postulate 6. transitive property of congruence

use the following figure and information to complete the proof. given : de is the midsegment of abc prove : ade = abc match each numbered statement in the proof to its correct reason

1. given 2. triangle midsegment theorem 3. definition of corresponding angles 4. corresponding angles postulate

if segment de is a midsegment of abc, then how many meters is segment bc?

12

if m<bca = 45, what is the measure of <cad?

135

given that de, df, and ef are midsegments of abc, and de = 3.2 feet, ef = 4 feet, and df = 2.4 feet, what is the perimeter of abc?

19.2

a frame of a house is being built. the face of the roof is shown as follows, where ba = ac and bd = 20 feet. what is the measure of dc?

20

which pairs of measures could be the measure of a and c?

55, 55 30, 30

what is the length of segment nq?

7 units

lines m and n are parallel lines cut by a transversal l. which answer gives statements that should be used to prove angles 4 and 6 are congruent?

XXX angles 6 and 5 form a linear pair; angles 5 and 1 are congruent as corresponding angles XXX angles 4 and 8 are congruent as corresponding angles; angles 8 and 6 are congruent as vertical angles

lines m and n are parallel lines cut by a transversal l. which answer gives statements that should be used to prove angles 2 and 7 are supplementary angles?

angles 2 and 6 are congruent as corresponding angles; angles 6 and 7 form a linear pair.

if angles 2 and 8 are alternate interior angles, which angle pair relationships should be used to prove lines m and n are parallel?

angles 2 and 8 are congruent as alternate interior angles

if ab = cd is given, how can it be proved that a = c?

draw a segment from b to a point d such that d is the midpoint of ac. then, show that corresponding sides of new triangles abd and cbd are congruent. finally, use the side-side-side congruence postulate and the definition of congruent angles to show a = c

what can the architect do to make sure that ps= pt?

join pr and st so that they form a right angle with a vertex at the midpoint of st

which statement is true about the area of bcd?

the area of bcd is equal to the area of acd

given that ad is a perpendicular bisector of bc, what steps will prove that a is equidistant from b and c?

use the given information to show that ad intersects bc at right angles, and then rove triangles abd and acd congruent using the asa congruence postulate. next, show congruent sides using the definition of congruent triangles. finally, use the definition of congruent sides to show ab = ac