7-5: TEKS Practice

  • 1. Is ΔXYZ ∼ ΔGHI? Figures are not drawn to scale.

    Triangle XYZ has angle Y measuring 45° and angle Z measuring 31°. Triangle GHI has angle H measuring 45° and angle G measuring 104°.

  • 2. Is ΔFGH ∼ ΔJIH? Figure is not drawn to scale.

    Triangles FGH and JIH share vertex H. Segment JG and Segment FI intersect at Point H. Triangle FGH has angle F measuring 97°. Triangle JIH has angle I measuring 43° and angle H measuring 35°.

  • 3. Which triangles are similar? Select all that apply. The figure is not drawn to scale.

    Overlapping triangles QRT and GHI: Triangle QRT has angle R measuring 54° and angle T measuring 31°. Triangle GHI has angle G measuring 95° and angle I measuring 31°. Side HI and Side RT intersect at Point X.

    • A. ΔTXI

    • B. ΔQRT

    • C. ΔGHI

  • 4.

    • a. Writing Is ΔGHI ∼ ΔQRS? The figures are not drawn to scale.

      Triangle GHI has angle H, a right angle, and angle I measuring 32°. Triangle QRS has angle R, a right angle, and angle Q measuring 58°.

      Triangle GHI has angle H, a right angle, and angle I measuring 32°. Triangle QRS has angle R, a right angle, and angle Q measuring 58°.

    • b. Describe how to use angle relationships to decide whether any two triangles are similar.

  • 5. Error Analysis Anchil claims that the triangles ΔFGH and ΔKLJ are the only similar triangles because two angles of the triangles are congruent.

    Three triangles FGH, JIH, and KLJ.

    • a. Which triangles are similar? Select all that apply. The figure is not drawn to scale.

      • A. ΔFGH

      • B. ΔKLJ

      • C. ΔJIH

    • b. What mistake might Anchil have made?

  • 6. Jewelry A charm has the shape of two overlapping triangles. Is ΔXYZ ∼ ΔXJK? The figure is not drawn to scale.

    Overlapping triangles XYZ and XJK share vertex X and angle X, measuring 89°. Side JK and Side YZ intersect. Angle Z measures 35°. Angle XJK measures 59°.


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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties