Practice Test GeeksGeometry Practice Test
← All Geometry Flashcard Decks

Similarity & Proportionality Flashcards

7 cards from real Geometry practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Similarity & Proportionality flashcards as text

  1. Two triangles are similar with a scale factor of 3. If the smaller triangle has a perimeter of 12 cm, what is the perimeter of the larger triangle?

    Answer: 36 cm

    Perimeter scales by the same factor as the sides, so 12 × 3 = 36 cm.

  2. In similar figures, the ratio of areas equals the ratio of corresponding sides:

    Answer: Squared

    Area ratio is the square of the linear scale factor.

  3. A line parallel to one side of a triangle divides the other two sides proportionally. This is known as the:

    Answer: Triangle Proportionality Theorem

    The Triangle Proportionality (Basic Proportionality) Theorem states a parallel line cuts the sides proportionally.

  4. If two triangles have all three pairs of angles equal, they are guaranteed to be:

    Answer: Similar

    Equal corresponding angles (AA/AAA) guarantees similarity but not congruence.

  5. A 6 ft person casts a 4 ft shadow while a nearby tree casts a 20 ft shadow. How tall is the tree?

    Answer: 30 ft

    Set up 6/4 = h/20, giving h = 30 ft.

  6. Which similarity criterion uses two pairs of proportional sides and the included angle?

    Answer: SAS similarity

    SAS similarity requires two proportional sides with equal included angles.

  7. Two similar rectangles have a side ratio of 2:5. What is the ratio of their areas?

    Answer: 4:25

    Area ratio is the square of the side ratio: 2²:5² = 4:25.