Quizziz: Mid-term Review Part 2

If FN = 29, what is the value of r?

• 4

• 5

• 6

• 7

Tags

CCSS.4.MD.A.2

Line p intersects lines a and b. a parallel b. By which theorem is ∠ 1 ≅ ∠ 8?

• Alternate Exterior Angles Theorem

• Alternate Interior Angles Theorem

• Corresponding Exterior Angles Theorem

• Corresponding Interior Angles Theorem

Answer explanation

∠ 1 and ∠ 8 are alternate exterior angles formed by line p intersecting parallel lines a and b. According to the Alternate Exterior Angles Theorem, these angles are congruent, thus ∠ 1 ≅ ∠ 8.

Tags

CCSS.8.G.A.5

What is the distance between points A(3, 12) and B(6, 15)? Round to the nearest tenth.

Mathematical Equivalence

ON

Tags

CCSS.HSG.GPE.B.7

Points X, Y, and Z are collinear. What is m ∠ XYQ?

Mathematical Equivalence

ON

Tags

CCSS.7.G.B.5

What is the equation of a line that is perpendicular to the line y = -3x + 2 and passes through the point (6, 8)?

• y = 3x + 2

• y = 3x - 10

• y = 1/3x + 2

• y = 1/3x + 6

Answer explanation

The slope of the given line y = -3x + 2 is -3. The slope of a line perpendicular to it is the negative reciprocal, which is 1/3. Using point-slope form with point (6, 8), we find the equation is y = 1/3x + 6.

What is the value of x?

• 24

• 33

• 72

• 75

Tags

CCSS.8.G.A.5

Which triangle is congruent to triangle PQR?

• DEF

• STU

• PQR

Answer explanation

Triangle DEF is congruent to triangle PQR because they have the same shape and size, satisfying the criteria for congruence. The other options do not meet this requirement.

Tags

CCSS.8.G.A.2

What is m∠RST?

• 58°

• 61°

• 116°

• 122°

Tags

CCSS.8.G.A.5

What value of x would support the conclusion that △JKL ≅ △JML by AAS?

Mathematical Equivalence

ON

Tags

CCSS.HSG.SRT.B.5

By which theorem can you conclude △DHF ≅ △EHG?

• ASA

• HL

• SAS

• SSS

Answer explanation

The triangles △DHF and △EHG can be concluded as congruent by the HL (Hypotenuse-Leg) theorem, which applies to right triangles. If both triangles share a leg and have equal hypotenuses, they are congruent.

Tags

CCSS.HSG.SRT.B.5