MATH 1312 Quiz 10

Suppose that BC is the base of isosceles △ABC (not shown). Find x if the perimeter of △ABC is 39, AB=x, and BC=x+9.

10

Let m∠3=50∘. Find the measure of ∠5, which is formed by the bisectors of ∠1 and ∠3.

115°

Let m∠3=56∘. Find the measure of ∠5, which is formed by the bisectors of ∠1 and ∠3.

118°

Suppose that BC is the base of isosceles △ABC (not shown). Find x if the perimeter of △ABC is 39, AB=x, and BC=x+3.

12

Let m∠3=80∘. Find the measure of ∠5, which is formed by the bisectors of ∠1 and ∠3.

130°

If AC≅AB and m∠B=72∘, find m∠A.

36°

If AC≅AB and m∠B=48∘, find m∠C.

48°

Using the accompanying drawing, find m∠BAD if m∠ABC=80∘.

60°

A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle measures 40° and each equal side is 150 ft long, what measure does each of the base angles have?

70°

If AC≅AB and m∠B=70∘, find m∠C.

70°

If AC≅AB and m∠B=54∘, find m∠A.

72°

Using the accompanying drawing, find m∠BAD if m∠ABC=70∘.

75°

Draw a segment from A perpendicular to m. Describe the segment as determined, underdetermined, or overdetermined.

Determined

Determine whether the sets have a subset relationship. L = {equilateral triangles} E = {equiangular triangles}

L and E are equivalent.

Suppose that BC is the base of isosceles △ABC (not shown). Find x if the perimeter of △ABC is 36, AB=x, and BC=x+3.

NOT 10

Using the accompanying drawing, find m∠BAD if m∠ABC=30∘.

NOT 120°

Suppose that BC is the base of isosceles △ABC (not shown). Find x if the perimeter of △ABC is 39, AB=x, and BC=x+3.

NOT 33

A surveyor knows that a lot has the shape of an isosceles triangle. If the vertex angle measures 40° and each equal side is 110 ft long, what measure does each of the base angles have?

NOT 55°

Using the accompanying drawing, find m∠BAD if m∠ABC=50∘.

NOT None of the above Answer choices were: 50 80 25 105 130

Let m∠3=56∘. Find the measure of ∠5, which is formed by the bisectors of ∠1 and ∠3.

NOT None of the above Answer choices were: 90 56 84 118 112

Draw a segment AB parallel to line m. Describe the segment as determined, underdetermined, or overdetermined.

Overdetermined

Determine whether the sets have a subset relationship. R = {right triangles} O = {obtuse triangles}

R and O are disjoint.

Find m∠1 and m∠2 if m∠3=80∘.

m∠1=20∘; m∠2=80∘

Find m∠1 and m∠2 if m∠3=56∘.

m∠1=68∘; m∠2=56∘

Find m∠1 and m∠2 if m∠3=48∘.

m∠1=84∘; m∠2=48∘