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Geometry 2-6 Mixed Review: Proving Angles Congruent

By Matt Richardson
Last updated about 3 years ago
7 Questions

Review Lesson 2-5: Match each pair of statements on the left with the property of equality or congruence that justifies going from the first statement to the second.

4x=20 \\ x=5
Subtraction Property of Equality/Congruence
∠1 ≅ ∠2 \ and \ ∠3 ≅ ∠2 \\ ∠1 ≅ ∠3
Division Property of Equality/Congruence
3x+7=19 \\ 3x=12
Transitive Property of Equality/Congruence

Review Lesson 1-2: Refer to the figure below. Respond to each item on the right using the correct item from the left.

  • B
  • G
  • H
  • A
  • yes
  • no
  • \overleftrightarrow{AD}
  • r
  • t
  • \overleftrightarrow{DH}
  • Name the point at which lines t and r intersect.
  • Are points G, A, and B collinear?
  • Are points F, I, and H collinear?
  • Name the line on which point E lies.

SAT/ACT: ∠1 and ∠2 are vertical angles. if m∠1 = 63 and m∠2 = 4x - 9, what is the value of x?
Enter only a number.

SAT/ACT: What is the area in square centimeters of a triangle with a base of 5 cm and a height of 8 cm?

Vocabulary Review: Complete each sentence on the right with the word proof or prove from the left.

  • prove
  • proof
  • Galileo wanted to __?__ that the planets revolve around the sun.
  • His observations and discoveries supported his theory but were not a __?__ of it.

Use Your Vocabulary: Tag each statement on the right as true or false.

  • true
  • false
  • A postulate is a theorem.
  • A theorem may contain definitions.
  • An axiom is a theorem.

Use Your Vocabulary: Complete each sentence on the right with the word lines, planes, or points from the left.

You may need to zoom out to see all of the items. You can also place each item from the left column by selecting it (click it) then selecting (clicking on) the category for it.

  • planes
  • points
  • lines
  • Postulate 1-1: Through any two __?__ there is exactly one line.
  • Postulate 1-2: If two distinct __?__ intersect, then they intersect in exactly one point.
  • Postulate 1-3: If two distinct __?__ intersect, then they intersect in exactly one line.
  • Postulate 1-4: Through any three noncollinear __?__ there is exactly one plane.